1
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Tillotson MJ, Diamantonis NI, Buda C, Bolton LW, Müller EA. Molecular modelling of the thermophysical properties of fluids: expectations, limitations, gaps and opportunities. Phys Chem Chem Phys 2023; 25:12607-12628. [PMID: 37114325 DOI: 10.1039/d2cp05423j] [Citation(s) in RCA: 4] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/29/2023]
Abstract
This manuscript provides an overview of the current state of the art in terms of the molecular modelling of the thermophysical properties of fluids. It is intended to manage the expectations and serve as guidance to practising physical chemists, chemical physicists and engineers in terms of the scope and accuracy of the more commonly available intermolecular potentials along with the peculiarities of the software and methods employed in molecular simulations while providing insights on the gaps and opportunities available in this field. The discussion is focused around case studies which showcase both the precision and the limitations of frequently used workflows.
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Affiliation(s)
- Marcus J Tillotson
- Department of Chemical Engineering, Imperial College London, London, UK.
| | | | | | | | - Erich A Müller
- Department of Chemical Engineering, Imperial College London, London, UK.
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2
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Gupta S, Elliott JR, Anderko A, Crosthwaite J, Chapman WG, Lira CT. Current Practices and Continuing Needs in Thermophysical Properties for the Chemical Industry. Ind Eng Chem Res 2023. [DOI: 10.1021/acs.iecr.2c03153] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/22/2023]
Affiliation(s)
- Sumnesh Gupta
- The Dow Chemical Company, 1254 Enclave Parkway, Houston, Texas 77077, United States
| | - J. Richard Elliott
- Chemical, Biomolecular, and Corrosion Engineering Department, University of Akron, Akron, Ohio 44325-3906, United States
| | - Andrzej Anderko
- OLI Systems, Inc., 2 Gatehall Drive, Suite 1D, Parsippany, New Jersey 07054, United States
| | - Jacob Crosthwaite
- The Dow Chemical Company, 1897 Building, Midland, Michigan 48667, United States
| | - Walter G. Chapman
- Chemical and Biomolecular Engineering Department, Rice University, 6100 Main Street, Houston, Texas 77005, United States
| | - Carl T. Lira
- Chemical Engineering & Materials Science, Michigan State University, East Lansing, Michigan 48824-2288, United States
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3
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Lyra EP, Mercier Franco LF. Deriving force fields with a multiscale approach:from ab initio calculations to molecular-based equations of state. J Chem Phys 2022; 157:114107. [DOI: 10.1063/5.0109350] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Using theoretical and computational tools for predicting thermophysical properties of fluid systems and the soft matter has always been of interest to the physical, chemical, and engineering sciences. And certainly, the ultimate goal is to be able to compute these macroscopic properties from first principle calculations beginning with the very atomic constitution of matter. In this work, Mie potential parameters were obtained through dimer interaction energy curves derived from ab initio calculations to represent methane and methane-substituted molecules in a spherical 1-site coarse-grained model. Bottom-up-based Mie potential parameters of this work were compared to top-down-based ones from the statistical associating fluid theory (SAFT) models for the calculation of thermodynamic properties and critical point by molecular dynamics simulations and SAFT-VR Mie equation of state. Results demonstrated that bottom-up-based Mie potential parameters when averaging the Mie potential parameters of a representative population of conformers provide values close to the top-down-based ones from SAFT models and predict well properties of tetrahedral molecules. This shows the level of consistency embedded in the SAFT-VR Mie family of models and confers a status of a purely predictive equation of state for SAFT-VR Mie when a reasonable model is considered to represent a molecule of interest.
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4
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Hou S, Tang Y, Zhu T, Huang ZH, Liu Y, Sun Y, Li X, Shen F. Adsorptive removal of gas phase naphthalene on ordered mesoporous carbon. JOURNAL OF HAZARDOUS MATERIALS 2022; 436:129208. [PMID: 35739730 DOI: 10.1016/j.jhazmat.2022.129208] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/22/2022] [Revised: 05/05/2022] [Accepted: 05/19/2022] [Indexed: 06/15/2023]
Abstract
Adsorptive removal of gas phase low concentration macromolecular organic component, represented by naphthalene, from the enclosed space using ordered mesoporous carbon (OMC) has been studied by molecular simulation and experimental investigation. The simulation results indicated that both adsorption capacity and adsorption stability of the OMCs for naphthalene decreased with the increase of pore sizes from 2 nm to 8 nm. Characterizations showed that the prepared OMCs had the pore structure similar to the simulated OMCs except for the rough surface. In particular, the adsorption performance of the prepared OMCs was significantly lower than that of the simulated OMCs when pore size was 2 nm and 3 nm, which was attributed to the rough inner surface of these adsorbents, blocking the narrow pore channels and significantly reducing the pore volume. OMC with pore size of 4 nm had the highest adsorption amount for naphthalene. The co-adsorption experiments in the presence of both naphthalene and toluene, acetone or water showed the adsorption performance of OMCs for naphthalene were almost unaffected by the presence of low concentration toluene and acetone, as well as high relative humidity.
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Affiliation(s)
- Shiyu Hou
- School of Space and Environment, Beihang University, Beijing 100191, China
| | - Yiliang Tang
- School of Space and Environment, Beihang University, Beijing 100191, China
| | - Tianle Zhu
- School of Space and Environment, Beihang University, Beijing 100191, China.
| | - Zheng-Hong Huang
- Key Laboratory of Advanced Materials (MOE), School of Materials Science and Engineering, Tsinghua University, Beijing 100084, China
| | - Yingshu Liu
- School of Energy and Environmental Engineering, University of Science and Technology Beijing, Beijing 100083, China
| | - Ye Sun
- School of Space and Environment, Beihang University, Beijing 100191, China
| | - Xiang Li
- School of Space and Environment, Beihang University, Beijing 100191, China
| | - Fangxia Shen
- School of Space and Environment, Beihang University, Beijing 100191, China
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Finney AR, Salvalaglio M. Bridging the gap between mesoscopic and molecular models of solid/liquid interfaces out-of-equilibrium. Chem Eng Res Des 2022. [DOI: 10.1016/j.cherd.2022.02.018] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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6
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Zhang Y, Zhang Y, Pan X, Qin Y, Deng J, Wang S, Gao Q, Zhu Y, Yang Z, Lu X. Molecular insights on Ca2+/Na+ separation via graphene-based nanopores: The role of electrostatic interactions to ionic dehydration. Chin J Chem Eng 2021. [DOI: 10.1016/j.cjche.2021.10.023] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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7
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Quan X, Zhao D, Zhou J. The interplay between surface-functionalized gold nanoparticles and negatively charged lipid vesicles. Phys Chem Chem Phys 2021; 23:23526-23536. [PMID: 34642720 DOI: 10.1039/d1cp01903a] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The comprehensive understanding of the interactions between gold nanoparticles (AuNPs) and phospholipid vesicles has important implications in various biomedical applications; however, this is not yet well understood. Here, coarse-grained molecular dynamics (CGMD) simulations were performed to study the interactions between functionalized AuNPs and negatively charged lipid vesicles, and the effects of the surface chemistry and surface charge density (SCD) of AuNPs were analyzed. It is revealed that AuNPs with different surface ligands adhere to the membrane surface (anionic AuNPs) or get into the vesicle bilayer (hydrophobic and cationic AuNPs). Due to the loose arrangement of lipid molecules, AuNPs penetrate curved vesicle membranes more easily than planar lipid bilayers. Cationic AuNPs present three different interaction modes with the vesicle, namely insertion, partial penetration and complete penetration, which are decided by the SCD difference. Both hydrophobic interaction and electrostatic interaction play crucial roles in the interplay between cationic AuNPs and lipid vesicles. For the cationic AuNP with a low SCD, it gets into the lipid bilayer without membrane damage through the hydrophobic interaction, and it is finally stabilized in the hydrophobic interior of the vesicle membrane in a thermodynamically stable "snorkeling" configuration. For the cationic AuNP with a high SCD, it crosses the vesicle membrane and gets into the vesicle core through a membrane pore induced by strong electrostatic interaction. In this process, the membrane structure is destroyed. These findings provide a molecular-level understanding of the interplay between AuNPs and lipid vesicles, which may further expand the application of functional AuNPs in modern biomedicine.
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Affiliation(s)
- Xuebo Quan
- School of Chemistry and Chemical Engineering, Guangdong Provincial Key Lab for Green Chemical Product Technology, South China University of Technology, Guangzhou, 510640, P. R. China.
| | - Daohui Zhao
- Hubei Collaborative Innovation Centre for Advanced Organic Chemical Materials, Ministry of Education Key Laboratory for the Synthesis and Application of Organic Functional Molecules, School of Chemistry and Chemical Engineering, Hubei University, Wuhan 430062, P. R. China
| | - Jian Zhou
- School of Chemistry and Chemical Engineering, Guangdong Provincial Key Lab for Green Chemical Product Technology, South China University of Technology, Guangzhou, 510640, P. R. China.
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8
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Andoh Y, Ichikawa SI, Sakashita T, Yoshii N, Okazaki S. Algorithm to minimize MPI communications in the parallelized fast multipole method combined with molecular dynamics calculations. J Comput Chem 2021; 42:1073-1087. [PMID: 33780021 DOI: 10.1002/jcc.26524] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/09/2020] [Revised: 03/09/2021] [Accepted: 03/11/2021] [Indexed: 11/07/2022]
Abstract
In the era of exascale supercomputers, large-scale, and long-time molecular dynamics (MD) calculations are expected to make breakthroughs in various fields of science and technology. Here, we propose a new algorithm to improve the parallelization performance of message passing interface (MPI)-communication in the MPI-parallelized fast multipole method (FMM) combined with MD calculations under three-dimensional periodic boundary conditions. Our approach enables a drastic reduction in the amount of communication data, including the atomic coordinates and multipole coefficients, both of which are required to calculate the electrostatic interaction by using the FMM. In communications of multipole coefficients, the reduction rate of communication data in the new algorithm relative to the amount of data in the conventional one increases as both the number of FMM levels and the number of MPI processes increase. The aforementioned rate increase could exceed 50% as the number of MPI processes becomes larger for very large systems. The proposed algorithm, named the minimum-transferred data (MTD) method, should enable large-scale and long-time MD calculations to be calculated efficiently, under the condition of massive MPI-parallelization on exascale supercomputers.
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Affiliation(s)
- Yoshimichi Andoh
- Center for Computational Science, Graduate School of Engineering, Nagoya University, Nagoya, Japan
| | - Shin-Ichi Ichikawa
- Computational Science Division, Technical Computing Business Unit, Fujitsu Limited, Chiba, Japan
| | - Tatsuya Sakashita
- Department of Information and Communication Technology, College of Engineering, Tamagawa University, Machida, Tokyo, Japan
| | - Noriyuki Yoshii
- Center for Computational Science, Graduate School of Engineering, Nagoya University, Nagoya, Japan
- Department of Materials Chemistry, Nagoya University, Nagoya, Japan
| | - Susumu Okazaki
- Department of Materials Chemistry, Nagoya University, Nagoya, Japan
- Department of Advanced Materials Science, The University of Tokyo, Kashiwa, Chiba, Japan
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9
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Sosa RD, Geng X, Agarwal A, Palmer JC, Conrad JC, Reynolds MA, Rimer JD. Acidic Polysaccharides as Green Alternatives for Barite Scale Dissolution. ACS APPLIED MATERIALS & INTERFACES 2020; 12:55434-55443. [PMID: 33233879 DOI: 10.1021/acsami.0c16653] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Barium sulfate (barite) scale poses significant challenges for processes ranging from water treatment to fossil fuel production. Here, we identify alginate (a polysaccharide derived from brown algae) as a potent, "green" alternative to commercial barite demineralizing agents. Unlike conventional treatments of inorganic scales that require caustic conditions, alginate polymers dissolve barite at near-neutral conditions. In this study, we benchmark the demineralizing efficacy of alginate against a commercial dissolver, diethylenetriaminepentaacetic acid (DTPA), using a combination of bulk dissolution assays, scanning probe microscopy, and molecular dynamics simulations. Time-resolved rates of dissolution measured in a microfluidic device show that demineralization is enhanced more than an order of magnitude under flow. In situ atomic force microscopy reveals that alginate and DTPA exhibit distinct mechanisms of surface dissolution; and surprisingly, their binary combination in alkaline media results in a synergistic cooperativity that enhances the overall rate of barite dissolution. These studies collectively demonstrate a unique approach to demineralization using an inexpensive and abundant biopolymer that enables environmentally friendly treatment of inorganic scales.
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Affiliation(s)
- Ricardo D Sosa
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204-4004, United States
| | - Xi Geng
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204-4004, United States
| | - Ankur Agarwal
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204-4004, United States
| | - Jeremy C Palmer
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204-4004, United States
| | - Jacinta C Conrad
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204-4004, United States
| | - Michael A Reynolds
- Shell Exploration and Production Company, Houston, Texas 77079, United States
| | - Jeffrey D Rimer
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204-4004, United States
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10
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Cea-Klapp E, Míguez JM, Gómez-Álvarez P, Blas FJ, Quinteros-Lama H, Garrido JM. Molecular modelling techniques for predicting liquid-liquid interfacial properties of methanol plus alkane ( n-hexane, n-heptane, n-octane) mixtures. Phys Chem Chem Phys 2020; 22:27121-27133. [PMID: 33225339 DOI: 10.1039/d0cp04823b] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
In this work, the liquid-liquid interfacial properties of methanol plus n-alkane (n-hexane, n-heptane, n-octane) mixtures are investigated at atmospheric pressure by two complementary molecular modelling techniques; namely, molecular dynamic simulations (MD) and density gradient theory (DGT) coupled with the PC-SAFT (perturbed-chain statistical associating fluid theory) equation of state. Furthermore, two molecular models of methanol are used, which are based on a non-polarisable three site approach. On the one hand, is the original (flexible) TraPPE-UA model force field. On the other hand, is the rigid approximation denoted as OPLS/2016. In both cases, n-alkanes are modelled using the TraPPE-UA model. Simulations are performed using the direct coexistence technique in the ensemble. Special attention is paid to the comparison between the estimations obtained from different methanol models, the available experimental data and theoretical calculations. In all cases, the rigid model is capable of predicting the experimental phase equilibrium and interfacial properties accurately. Unsurprisingly, the methanol-rich density and interfacial tension are overestimated using the TraPPE model combined with Lorentz-Berthelot mixing rules for predicting the mixture behaviour. Accurate comparison between MD and DGT plus PC-SAFT requires consideration of the cross-interactions between individual influence parameters and fitting the βij values. This latter aspect is particularly important because it allows the exploitation of the link between the EOS model and the direct molecular simulation of the corresponding fluid. At the same time, it was demonstrated that the key property defining the interfacial tension value is the absolute concentration of methanol in the methanol-rich phase. This behaviour indicates that there are more hydrogens bonded with each other, and they interact favourably with an increasing number of carbon atoms in the alkane.
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Affiliation(s)
- Esteban Cea-Klapp
- Department of Chemical Engineering, Universidad de Concepción, Concepción 4070386, Chile.
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11
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Monroe JI, Hatch HW, Mahynski NA, Shell MS, Shen VK. Extrapolation and interpolation strategies for efficiently estimating structural observables as a function of temperature and density. J Chem Phys 2020; 153:144101. [PMID: 33086808 DOI: 10.1063/5.0014282] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022] Open
Abstract
Thermodynamic extrapolation has previously been used to predict arbitrary structural observables in molecular simulations at temperatures (or relative chemical potentials in open-system mixtures) different from those at which the simulation was performed. This greatly reduces the computational cost in mapping out phase and structural transitions. In this work, we explore the limitations and accuracy of thermodynamic extrapolation applied to water, where qualitative shifts from anomalous to simple-fluid-like behavior are manifested through shifts in the liquid structure that occur as a function of both temperature and density. We present formulas for extrapolating in volume for canonical ensembles and demonstrate that linear extrapolations of water's structural properties are only accurate over a limited density range. On the other hand, linear extrapolation in temperature can be accurate across the entire liquid state. We contrast these extrapolations with classical perturbation theory techniques, which are more conservative and slowly converging. Indeed, we show that such behavior is expected by demonstrating exact relationships between extrapolation of free energies and well-known techniques to predict free energy differences. An ideal gas in an external field is also studied to more clearly explain these results for a toy system with fully analytical solutions. We also present a recursive interpolation strategy for predicting arbitrary structural properties of molecular fluids over a predefined range of state conditions, demonstrating its success in mapping qualitative shifts in water structure with density.
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Affiliation(s)
- Jacob I Monroe
- National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
| | - Harold W Hatch
- National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
| | - Nathan A Mahynski
- National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
| | - M Scott Shell
- University of California - Santa Barbara, Santa Barbara, California 93106, USA
| | - Vincent K Shen
- National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
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12
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Cea-Klapp E, Quinteros-Lama H, Polishuk I, Garrido JM. Effect of size disparity on the gas-liquid interfacial properties of Lennard-Jones monomer plus dimer mixtures. J Mol Liq 2020. [DOI: 10.1016/j.molliq.2020.113280] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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13
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Wang X, Chen X, Song M, Wang Q, Zheng W, Song H, Fan Z, Myat Thu A. Effects of Hindered Phenol Organic Molecules on Enhancing Thermo-Oxidative Resistance and Damping Capacity for Nitrile Butadiene Rubber: Insights from Experiments and Molecular Simulation. Ind Eng Chem Res 2020. [DOI: 10.1021/acs.iecr.0c00528] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Xiujuan Wang
- Key Laboratory of Rubber-Plastics, Ministry of Education/Shandong Provincial Key Laboratory of Rubber-plastics, Qingdao University of Science & Technology, Qingdao 266042, P. R. China
| | - Xinghao Chen
- Key Laboratory of Rubber-Plastics, Ministry of Education/Shandong Provincial Key Laboratory of Rubber-plastics, Qingdao University of Science & Technology, Qingdao 266042, P. R. China
| | - Meng Song
- School of Materials and Chemical Engineering, Zhongyuan University of Technology, Zhengzhou 450007, P. R. China
| | - Qingfu Wang
- Key Laboratory of Rubber-Plastics, Ministry of Education/Shandong Provincial Key Laboratory of Rubber-plastics, Qingdao University of Science & Technology, Qingdao 266042, P. R. China
| | - Wei Zheng
- School of International Education, Beijing University of Chemical Technology, Beijing 102202, P. R. China
| | - Hongjie Song
- Key Laboratory of Rubber-Plastics, Ministry of Education/Shandong Provincial Key Laboratory of Rubber-plastics, Qingdao University of Science & Technology, Qingdao 266042, P. R. China
| | - Zehao Fan
- Key Laboratory of Rubber-Plastics, Ministry of Education/Shandong Provincial Key Laboratory of Rubber-plastics, Qingdao University of Science & Technology, Qingdao 266042, P. R. China
| | - Aung Myat Thu
- Key Laboratory of Rubber-Plastics, Ministry of Education/Shandong Provincial Key Laboratory of Rubber-plastics, Qingdao University of Science & Technology, Qingdao 266042, P. R. China
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14
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Surrogate Models for Studying the Wettability of Nanoscale Natural Rough Surfaces Using Molecular Dynamics. ENERGIES 2020. [DOI: 10.3390/en13112770] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Abstract
A molecular modeling methodology is presented to analyze the wetting behavior of natural surfaces exhibiting roughness at the nanoscale. Using atomic force microscopy, the surface topology of a Ketton carbonate is measured with a nanometer resolution, and a mapped model is constructed with the aid of coarse-grained beads. A surrogate model is presented in which surfaces are represented by two-dimensional sinusoidal functions defined by both an amplitude and a wavelength. The wetting of the reconstructed surface by a fluid, obtained through equilibrium molecular dynamics simulations, is compared to that observed by the different realizations of the surrogate model. A least-squares fitting method is implemented to identify the apparent static contact angle, and the droplet curvature, relative to the effective plane of the solid surface. The apparent contact angle and curvature of the droplet are then used as wetting metrics. The nanoscale contact angle is seen to vary significantly with the surface roughness. In the particular case studied, a variation of over 65° is observed between the contact angle on a flat surface and on a highly spiked (Cassie–Baxter) limit. This work proposes a strategy for systematically studying the influence of nanoscale topography and, eventually, chemical heterogeneity on the wettability of surfaces.
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15
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Maximiano P, Durães L, Simões P. Overview of Multiscale Molecular Modeling and Simulation of Silica Aerogels. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b03781] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023]
Affiliation(s)
- Pedro Maximiano
- CIEPQPF, Department of Chemical Engineering, University of Coimbra, Rua Sı́lvio de Lima, 3030-790 Coimbra, Portugal
| | - Luísa Durães
- CIEPQPF, Department of Chemical Engineering, University of Coimbra, Rua Sı́lvio de Lima, 3030-790 Coimbra, Portugal
| | - Pedro Simões
- CIEPQPF, Department of Chemical Engineering, University of Coimbra, Rua Sı́lvio de Lima, 3030-790 Coimbra, Portugal
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16
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Affiliation(s)
- Jianzhong Wu
- Department of Chemical and Environmental Engineering, University of California, Riverside, California 92521, United States,
| | - John M. Prausnitz
- Department of Chemical and Biomolecular Engineering, University of California, Berkeley, California 94720, United States
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17
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Progress in molecular-simulation-based research on the effects of interface-induced fluid microstructures on flow resistance. Chin J Chem Eng 2019. [DOI: 10.1016/j.cjche.2019.02.002] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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18
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19
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Palmer JC, Poole PH, Sciortino F, Debenedetti PG. Advances in Computational Studies of the Liquid–Liquid Transition in Water and Water-Like Models. Chem Rev 2018; 118:9129-9151. [DOI: 10.1021/acs.chemrev.8b00228] [Citation(s) in RCA: 116] [Impact Index Per Article: 19.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jeremy C. Palmer
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204, United States
| | - Peter H. Poole
- Department of Physics, St. Francis Xavier University, Antigonish, NS B2G 2W5, Canada
| | - Francesco Sciortino
- Dipartimento di Fisica and CNR-ISC, Sapienza Universita’ di Roma, Piazzale A. Moro 5, 00185 Rome, Italy
| | - Pablo G. Debenedetti
- Department of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey 08544, United States
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20
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Guo J, Haji-Akbari A, Palmer JC. Hybrid Monte Carlo with LAMMPS. JOURNAL OF THEORETICAL & COMPUTATIONAL CHEMISTRY 2018. [DOI: 10.1142/s0219633618400023] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
We describe a strategy for performing canonical and isothermal-isobaric ensemble hybrid Monte Carlo (HMC) simulations with the widely-used Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) molecular dynamics (MD) software package. The overall workflow for the HMC simulations is handled using an external Python driver script, which invokes LAMMPS’ library interface to perform numerically intensive tasks such as MD integration. We document several rigorous consistency checks that have been used to validate our HMC implementation. We also demonstrate that our approach can be readily extended to implement biased HMC sampling schemes for computing free energies. Codes and input files from the documented examples are available on the web.
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Affiliation(s)
- Jingxiang Guo
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204, USA
| | - Amir Haji-Akbari
- Department of Chemical and Environmental Engineering, Yale University, New Haven, CT 06520, USA
| | - Jeremy C. Palmer
- Department of Chemical and Biomolecular Engineering, University of Houston, Houston, Texas 77204, USA
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21
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Zhan GX, Shen BX, Sun H, Chen X. Extractive Distillation Approach to the Removal of Dimethyl Disulfide from Methyl Tert-Butyl Ether: Combined Computational Solvent Screening and Experimental Process Investigation. Ind Eng Chem Res 2018. [DOI: 10.1021/acs.iecr.7b01766] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Guo-xiong Zhan
- Petroleum Processing Research Center, and State Key Laboratory of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Ben-xian Shen
- Petroleum Processing Research Center, and State Key Laboratory of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Hui Sun
- Petroleum Processing Research Center, and State Key Laboratory of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Xi Chen
- Petroleum Processing Research Center, and State Key Laboratory of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China
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22
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Vrabec J, Bernreuther M, Bungartz HJ, Chen WL, Cordes W, Fingerhut R, Glass CW, Gmehling J, Hamburger R, Heilig M, Heinen M, Horsch MT, Hsieh CM, Hülsmann M, Jäger P, Klein P, Knauer S, Köddermann T, Köster A, Langenbach K, Lin ST, Neumann P, Rarey J, Reith D, Rutkai G, Schappals M, Schenk M, Schedemann A, Schönherr M, Seckler S, Stephan S, Stöbener K, Tchipev N, Wafai A, Werth S, Hasse H. SkaSim - Skalierbare HPC-Software für molekulare Simulationen in der chemischen Industrie. CHEM-ING-TECH 2018. [DOI: 10.1002/cite.201700113] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Jadran Vrabec
- Universität Paderborn; Lehrstuhl für Thermodynamik und Energietechnik; Warburger Straße 100 33098 Paderborn Deutschland
| | - Martin Bernreuther
- HLRS Höchstleistungsrechenzentrum Stuttgart; Nobelstraße 19 70569 Stuttgart Deutschland
| | - Hans-Joachim Bungartz
- Technische Universität München; Institut für Informatik; Boltzmannstraße 3 85748 Garching Deutschland
| | - Wei-Lin Chen
- National Taiwan University; Department of Chemical Engineering; No. 1, Section 4, Roosevelt Rd 10617 Taipei City Taiwan
| | - Wilfried Cordes
- DDBST GmbH; Marie-Curie-Straße 10 26129 Oldenburg Deutschland
| | - Robin Fingerhut
- Universität Paderborn; Lehrstuhl für Thermodynamik und Energietechnik; Warburger Straße 100 33098 Paderborn Deutschland
| | - Colin W. Glass
- HLRS Höchstleistungsrechenzentrum Stuttgart; Nobelstraße 19 70569 Stuttgart Deutschland
| | - Jürgen Gmehling
- DDBST GmbH; Marie-Curie-Straße 10 26129 Oldenburg Deutschland
| | - René Hamburger
- Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM; Fraunhofer-Platz 1 67663 Kaiserslautern Deutschland
| | - Manfred Heilig
- BASF SE; Carl-Bosch-Straße 38 67056 Ludwigshafen/Rhein Deutschland
| | - Matthias Heinen
- Universität Paderborn; Lehrstuhl für Thermodynamik und Energietechnik; Warburger Straße 100 33098 Paderborn Deutschland
| | - Martin T. Horsch
- Technische Universität Kaiserslautern; Lehrstuhl für Thermodynamik; Erwin-Schrödinger-Straße 44 67663 Kaiserslautern Deutschland
- American University of Iraq, Sulaimani; Engineering Department; Sulaimani - Kirkuk Road 46001 Raparin, Sulaimani Irak
| | - Chieh-Ming Hsieh
- National Central University; Department of Chemical & Material Engineering; No. 300 Zhongda Road 320 Taoyuan City Taiwan
| | - Marco Hülsmann
- Hochschule Bonn-Rhein-Sieg; Fachbereich Elektrotechnik, Maschinenbau und Technikjournalismus; Grantham-Allee 20 53757 Sankt Augustin Deutschland
- Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI; Schloss Birlinghoven 53757 Sankt Augustin Deutschland
| | - Philip Jäger
- Eurotechnica GmbH; An den Stücken 55 22941 Bargteheide Deutschland
| | - Peter Klein
- Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM; Fraunhofer-Platz 1 67663 Kaiserslautern Deutschland
| | - Sandra Knauer
- Eurotechnica GmbH; An den Stücken 55 22941 Bargteheide Deutschland
| | - Thorsten Köddermann
- Hochschule Bonn-Rhein-Sieg; Fachbereich Elektrotechnik, Maschinenbau und Technikjournalismus; Grantham-Allee 20 53757 Sankt Augustin Deutschland
- Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI; Schloss Birlinghoven 53757 Sankt Augustin Deutschland
| | - Andreas Köster
- Universität Paderborn; Lehrstuhl für Thermodynamik und Energietechnik; Warburger Straße 100 33098 Paderborn Deutschland
| | - Kai Langenbach
- Technische Universität Kaiserslautern; Lehrstuhl für Thermodynamik; Erwin-Schrödinger-Straße 44 67663 Kaiserslautern Deutschland
| | - Shiang-Tai Lin
- National Taiwan University; Department of Chemical Engineering; No. 1, Section 4, Roosevelt Rd 10617 Taipei City Taiwan
| | - Philipp Neumann
- Deutsches Klimarechenzentrum DKRZ; Bundesstraße 45a 20146 Hamburg Deutschland
| | - Jürgen Rarey
- DDBST GmbH; Marie-Curie-Straße 10 26129 Oldenburg Deutschland
| | - Dirk Reith
- Hochschule Bonn-Rhein-Sieg; Fachbereich Elektrotechnik, Maschinenbau und Technikjournalismus; Grantham-Allee 20 53757 Sankt Augustin Deutschland
- Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI; Schloss Birlinghoven 53757 Sankt Augustin Deutschland
| | - Gábor Rutkai
- Universität Paderborn; Lehrstuhl für Thermodynamik und Energietechnik; Warburger Straße 100 33098 Paderborn Deutschland
| | - Michael Schappals
- Technische Universität Kaiserslautern; Lehrstuhl für Thermodynamik; Erwin-Schrödinger-Straße 44 67663 Kaiserslautern Deutschland
| | - Martin Schenk
- Hochschule Bonn-Rhein-Sieg; Fachbereich Elektrotechnik, Maschinenbau und Technikjournalismus; Grantham-Allee 20 53757 Sankt Augustin Deutschland
| | | | | | - Steffen Seckler
- Technische Universität München; Institut für Informatik; Boltzmannstraße 3 85748 Garching Deutschland
| | - Simon Stephan
- Technische Universität Kaiserslautern; Lehrstuhl für Thermodynamik; Erwin-Schrödinger-Straße 44 67663 Kaiserslautern Deutschland
| | - Katrin Stöbener
- Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM; Fraunhofer-Platz 1 67663 Kaiserslautern Deutschland
| | - Nikola Tchipev
- Technische Universität München; Institut für Informatik; Boltzmannstraße 3 85748 Garching Deutschland
| | - Amer Wafai
- HLRS Höchstleistungsrechenzentrum Stuttgart; Nobelstraße 19 70569 Stuttgart Deutschland
| | - Stephan Werth
- Technische Universität Kaiserslautern; Lehrstuhl für Thermodynamik; Erwin-Schrödinger-Straße 44 67663 Kaiserslautern Deutschland
| | - Hans Hasse
- Technische Universität Kaiserslautern; Lehrstuhl für Thermodynamik; Erwin-Schrödinger-Straße 44 67663 Kaiserslautern Deutschland
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23
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Zhu J, Zhao X, Liu L, Song M, Wu S. Quantitative relationships between intermolecular interaction and damping parameters of irganox-1035/NBR hybrids: A combination of experiments, molecular dynamics simulations, and linear regression analyses. J Appl Polym Sci 2018. [DOI: 10.1002/app.46202] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Affiliation(s)
- Jing Zhu
- State Key Laboratory of Organic-Inorganic Composites; Beijing University of Chemical Technology; Beijing 100029 People's Republic of China
| | - Xiuying Zhao
- State Key Laboratory of Organic-Inorganic Composites; Beijing University of Chemical Technology; Beijing 100029 People's Republic of China
| | - Li Liu
- State Key Laboratory of Organic-Inorganic Composites; Beijing University of Chemical Technology; Beijing 100029 People's Republic of China
| | - Meng Song
- School of Materials and Chemical Engineering; Zhongyuan University of Technology; Zhengzhou 450007 People's Republic of China
| | - Sizhu Wu
- State Key Laboratory of Organic-Inorganic Composites; Beijing University of Chemical Technology; Beijing 100029 People's Republic of China
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24
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Coarse-grained theoretical modeling and molecular simulations of nitrogen + n -alkanes: ( n -pentane, n -hexane, n -heptane, n -octane). J Supercrit Fluids 2017. [DOI: 10.1016/j.supflu.2017.01.001] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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25
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13 The Role of Molecular Thermodynamics in Developing Industrial Processes and Novel Products That Meet the Needs for a Sustainable Future. ACTA ACUST UNITED AC 2017. [DOI: 10.1201/9781315153209-14] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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26
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Markthaler D, Gebhardt J, Jakobtorweihen S, Hansen N. Molecular Simulations of Thermodynamic Properties for the System α
-Cyclodextrin/Alcohol in Aqueous Solution. CHEM-ING-TECH 2017. [DOI: 10.1002/cite.201700057] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Daniel Markthaler
- University of Stuttgart; Institute of Thermodynamics and Thermal Process Engineering; Pfaffenwaldring 9 70569 Stuttgart Germany
| | - Julia Gebhardt
- University of Stuttgart; Institute of Thermodynamics and Thermal Process Engineering; Pfaffenwaldring 9 70569 Stuttgart Germany
| | - Sven Jakobtorweihen
- Hamburg University of Technology; Institute of Thermal Separation Processes; Eißendorfer Straße 38 21073 Hamburg Germany
| | - Niels Hansen
- University of Stuttgart; Institute of Thermodynamics and Thermal Process Engineering; Pfaffenwaldring 9 70569 Stuttgart Germany
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27
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Davari SA, Mukherjee D. Kinetic Monte Carlo simulation for homogeneous nucleation of metal nanoparticles during vapor phase synthesis. AIChE J 2017. [DOI: 10.1002/aic.15887] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Affiliation(s)
- Seyyed Ali Davari
- Dept. of Mechanical, Aerospace and Biomedical Engineering, Nano-BioMaterials Laboratory for Energy, Energetics & Environment (nbml-E ); University of Tennessee; Knoxville TN 37996
| | - Dibyendu Mukherjee
- Dept. of Mechanical, Aerospace and Biomedical Engineering, Nano-BioMaterials Laboratory for Energy, Energetics & Environment (nbml-E ); University of Tennessee; Knoxville TN 37996
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28
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Chen R, Lascaris E, Palmer JC. Liquid–liquid phase transition in an ionic model of silica. J Chem Phys 2017. [DOI: 10.1063/1.4984335] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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29
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Sanyal T, Shell MS. Coarse-grained models using local-density potentials optimized with the relative entropy: Application to implicit solvation. J Chem Phys 2017; 145:034109. [PMID: 27448876 DOI: 10.1063/1.4958629] [Citation(s) in RCA: 72] [Impact Index Per Article: 10.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/27/2022] Open
Abstract
Bottom-up multiscale techniques are frequently used to develop coarse-grained (CG) models for simulations at extended length and time scales but are often limited by a compromise between computational efficiency and accuracy. The conventional approach to CG nonbonded interactions uses pair potentials which, while computationally efficient, can neglect the inherently multibody contributions of the local environment of a site to its energy, due to degrees of freedom that were coarse-grained out. This effect often causes the CG potential to depend strongly on the overall system density, composition, or other properties, which limits its transferability to states other than the one at which it was parameterized. Here, we propose to incorporate multibody effects into CG potentials through additional nonbonded terms, beyond pair interactions, that depend in a mean-field manner on local densities of different atomic species. This approach is analogous to embedded atom and bond-order models that seek to capture multibody electronic effects in metallic systems. We show that the relative entropy coarse-graining framework offers a systematic route to parameterizing such local density potentials. We then characterize this approach in the development of implicit solvation strategies for interactions between model hydrophobes in an aqueous environment.
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Affiliation(s)
- Tanmoy Sanyal
- Department of Chemical Engineering, University of California Santa Barbara, Santa Barbara, California 93106, USA
| | - M Scott Shell
- Department of Chemical Engineering, University of California Santa Barbara, Santa Barbara, California 93106, USA
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30
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He X, Shen Y, Hung FR, Santiso EE. Heterogeneous nucleation from a supercooled ionic liquid on a carbon surface. J Chem Phys 2016; 145:211919. [DOI: 10.1063/1.4963336] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022] Open
Affiliation(s)
- Xiaoxia He
- Cain Department of Chemical Engineering, Louisiana State University, Baton Rouge, Louisiana 70803, USA
| | - Yan Shen
- Cain Department of Chemical Engineering, Louisiana State University, Baton Rouge, Louisiana 70803, USA
| | - Francisco R. Hung
- Cain Department of Chemical Engineering, Louisiana State University, Baton Rouge, Louisiana 70803, USA
- Center for Computation & Technology, Louisiana State University, Baton Rouge, Louisiana 70803, USA
| | - Erik E. Santiso
- Department of Chemical and Biomolecular Engineering, North Carolina State University, Raleigh, North Carolina 27695, USA
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31
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Zhao X, Zhang G, Lu F, Zhang L, Wu S. Molecular-level insight of hindered phenol AO-70/nitrile-butadiene rubber damping composites through a combination of a molecular dynamics simulation and experimental method. RSC Adv 2016. [DOI: 10.1039/c6ra17283k] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
The damping properties of AO-70/NBR composites get a noteworthy increase with the introduction of AO-70—max tan δincreased by 66.9%.
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Affiliation(s)
- Xiuying Zhao
- State Key Laboratory of Organic–Inorganic Composites
- Beijing University of Chemical Technology
- Beijing 100029
- P. R. China
- Engineering Research Center of Elastomer Materials Energy Conservation and Resources
| | - Geng Zhang
- State Key Laboratory of Organic–Inorganic Composites
- Beijing University of Chemical Technology
- Beijing 100029
- P. R. China
| | - Feng Lu
- State Key Laboratory of Organic–Inorganic Composites
- Beijing University of Chemical Technology
- Beijing 100029
- P. R. China
| | - Liqun Zhang
- Engineering Research Center of Elastomer Materials Energy Conservation and Resources
- Ministry of Education
- Beijing University of Chemical Technology
- Beijing 100029
- China
| | - Sizhu Wu
- State Key Laboratory of Organic–Inorganic Composites
- Beijing University of Chemical Technology
- Beijing 100029
- P. R. China
- Engineering Research Center of Elastomer Materials Energy Conservation and Resources
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32
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Posocco P, Perazzo A, Preziosi V, Laurini E, Pricl S, Guido S. Interfacial tension of oil/water emulsions with mixed non-ionic surfactants: comparison between experiments and molecular simulations. RSC Adv 2016. [DOI: 10.1039/c5ra24262b] [Citation(s) in RCA: 77] [Impact Index Per Article: 9.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
Smaller Span molecules occupy the free spaces between bulkier Tween molecules thus lowering interfacial tension as compared to those obtained for single surfactant systems.
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Affiliation(s)
- P. Posocco
- Molecular Simulation Engineering Laboratory (MOSE)
- Department of Engineering and Architecture (DEA)
- University of Trieste
- 34127 Trieste
- Italy
| | - A. Perazzo
- Department of Chemical
- Materials and Production Engineering
- University of Napoli Federico II
- 80125 Napoli
- Italy
| | - V. Preziosi
- Department of Chemical
- Materials and Production Engineering
- University of Napoli Federico II
- 80125 Napoli
- Italy
| | - E. Laurini
- Molecular Simulation Engineering Laboratory (MOSE)
- Department of Engineering and Architecture (DEA)
- University of Trieste
- 34127 Trieste
- Italy
| | - S. Pricl
- Molecular Simulation Engineering Laboratory (MOSE)
- Department of Engineering and Architecture (DEA)
- University of Trieste
- 34127 Trieste
- Italy
| | - S. Guido
- Department of Chemical
- Materials and Production Engineering
- University of Napoli Federico II
- 80125 Napoli
- Italy
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33
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He X, Shen Y, Hung FR, Santiso EE. Molecular simulation of homogeneous nucleation of crystals of an ionic liquid from the melt. J Chem Phys 2015; 143:124506. [PMID: 26429023 DOI: 10.1063/1.4931654] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The homogeneous nucleation of crystals of the ionic liquid [dmim(+)][Cl(-)] from its supercooled liquid phase in the bulk (P = 1 bar, T = 340 K, representing a supercooling of 58 K) was studied using molecular simulations. The string method in collective variables [Maragliano et al., J. Chem. Phys. 125, 024106 (2006)] was used in combination with Markovian milestoning with Voronoi tessellations [Maragliano et al., J. Chem. Theory Comput. 5, 2589-2594 (2009)] and order parameters for molecular crystals [E. E. Santiso and B. L. Trout, J. Chem. Phys. 134, 064109 (2011)] to sketch a minimum free energy path connecting the supercooled liquid and the monoclinic crystal phases, and to determine the free energy and the rates involved in the homogeneous nucleation process. The physical significance of the configurations found along this minimum free energy path is discussed with the help of calculations based on classical nucleation theory and with additional simulation results obtained for a larger system. Our results indicate that, at a supercooling of 58 K, the liquid has to overcome a free energy barrier of the order of 60 kcal/mol and to form a critical nucleus with an average size of about 3.6 nm, before it reaches the thermodynamically stable crystal phase. A simulated homogeneous nucleation rate of 5.0 × 10(10) cm(-3) s(-1) was obtained for our system, which is in reasonable agreement with experimental and simulation rates for homogeneous nucleation of ice at similar degrees of supercooling. This study represents our first step in a series of studies aimed at understanding the nucleation and growth of crystals of organic salts near surfaces and inside nanopores.
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Affiliation(s)
- Xiaoxia He
- Cain Department of Chemical Engineering, Louisiana State University, Baton Rouge, Louisiana 70803, USA
| | - Yan Shen
- Cain Department of Chemical Engineering, Louisiana State University, Baton Rouge, Louisiana 70803, USA
| | - Francisco R Hung
- Cain Department of Chemical Engineering, Louisiana State University, Baton Rouge, Louisiana 70803, USA
| | - Erik E Santiso
- Department of Chemical and Biomolecular Engineering, North Carolina State University, Raleigh, North Carolina 27695, USA
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34
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Affiliation(s)
- J. J. Derksen
- Chemical Engineering; Delft University of Technology; Julianalaan 136 2628 BL Delft The Netherlands
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