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Characterization of Monte Carlo Dynamic/Kinetic Properties of Local Structure in Bond Fluctuation Model of Polymer System. MATERIALS 2021; 14:ma14174962. [PMID: 34501051 PMCID: PMC8433752 DOI: 10.3390/ma14174962] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/21/2021] [Revised: 08/19/2021] [Accepted: 08/25/2021] [Indexed: 11/19/2022]
Abstract
We report the results of the characterization of local Monte Carlo (MC) dynamics of an equilibrium bond fluctuation model polymer matrix (BFM), in time interval typical for MC simulations of non-linear optical phenomena in host-guest systems. The study contributes to the physical picture of the dynamical aspects of quasi-binary mosaic states characterized previously in the static regime. The polymer dynamics was studied at three temperatures (below, above and close to the glass transition), using time-dependent generalization of the static parameters which characterize local free volume and local mobility of the matrix. Those parameters play the central role in the kinetic MC model of host-guest systems. The analysis was done in terms of the probability distributions of instantaneous and time-averaged local parameters. The main result is the characterization of time scales characteristic of various local structural processes. Slowing down effects close to the glass transition are clearly marked. The approach yields an elegant geometric criterion for the glass transition temperature. A simplified quantitative physical picture of the dynamics of guest molecules dispersed in BFM matrix at low temperatures offers a starting point for stochastic modeling of host-guest systems.
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Mitus AC, Saphiannikova M, Radosz W, Toshchevikov V, Pawlik G. Modeling of Nonlinear Optical Phenomena in Host-Guest Systems Using Bond Fluctuation Monte Carlo Model: A Review. MATERIALS (BASEL, SWITZERLAND) 2021; 14:1454. [PMID: 33809785 PMCID: PMC8002275 DOI: 10.3390/ma14061454] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/21/2021] [Revised: 03/05/2021] [Accepted: 03/08/2021] [Indexed: 12/14/2022]
Abstract
We review the results of Monte Carlo studies of chosen nonlinear optical effects in host-guest systems, using methods based on the bond-fluctuation model (BFM) for a polymer matrix. In particular, we simulate the inscription of various types of diffraction gratings in degenerate two wave mixing (DTWM) experiments (surface relief gratings (SRG), gratings in polymers doped with azo-dye molecules and gratings in biopolymers), poling effects (electric field poling of dipolar molecules and all-optical poling) and photomechanical effect. All these processes are characterized in terms of parameters measured in experiments, such as diffraction efficiency, nonlinear susceptibilities, density profiles or loading parameters. Local free volume in the BFM matrix, characterized by probabilistic distributions and correlation functions, displays a complex mosaic-like structure of scale-free clusters, which are thought to be responsible for heterogeneous dynamics of nonlinear optical processes. The photoinduced dynamics of single azopolymer chains, studied in two and three dimensions, displays complex sub-diffusive, diffusive and super-diffusive dynamical regimes. A directly related mathematical model of SRG inscription, based on the continuous time random walk (CTRW) formalism, is formulated and studied. Theoretical part of the review is devoted to the justification of the a priori assumptions made in the BFM modeling of photoinduced motion of the azo-polymer chains.
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Affiliation(s)
- Antoni C. Mitus
- Department of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland; (A.C.M.); (W.R.)
| | - Marina Saphiannikova
- Leibniz-Institut für Polymerforschung Dresden e.V., Hohe Strasse 6, 01069 Dresden, Germany;
| | - Wojciech Radosz
- Department of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland; (A.C.M.); (W.R.)
| | - Vladimir Toshchevikov
- Institute of Macromolecular Compounds, Russian Academy of Sciences, Bolshoi Prospect 31, 199004 Saint Petersburg, Russia;
| | - Grzegorz Pawlik
- Department of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland; (A.C.M.); (W.R.)
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Pawlik G, Mitus AC. Photoinduced Mass Transport in Azo-Polymers in 2D: Monte Carlo Study of Polarization Effects. MATERIALS (BASEL, SWITZERLAND) 2020; 13:E4724. [PMID: 33105883 PMCID: PMC7660191 DOI: 10.3390/ma13214724] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 08/09/2020] [Revised: 10/12/2020] [Accepted: 10/19/2020] [Indexed: 02/07/2023]
Abstract
We studied the impact of light polarization on photoinduced dynamics of model azo-polymer chains in two dimensions, using bond-fluctuation Monte Carlo simulations. For two limiting models-sensitive to and independent of light polarization-their dynamics driven by photoisomerization of azo-dyes as well as by thermal effects was studied, including characterization of mass transport and chain reorientations. The corresponding schemes of light-matter interaction promote qualitatively different dynamics of photoinduced motion of azo-polymer chains. In particular, they can inhibit or trigger off a directed mass transport along a gradient of light illumination. The generic dynamics of single chains is superdiffusive and is promoted by breaking a symmetry present in the polarization independent model.
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Affiliation(s)
- Grzegorz Pawlik
- Department of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland;
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Radosz W, Orlik R, Pawlik G, Mitus AC. On complex structure of local free volume in bond fluctuation model of polymer matrix. POLYMER 2019. [DOI: 10.1016/j.polymer.2019.05.068] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Pawlik G, Wysoczanski T, Mitus AC. Complex Dynamics of Photoinduced Mass Transport and Surface Relief Gratings Formation. NANOMATERIALS (BASEL, SWITZERLAND) 2019; 9:E352. [PMID: 30836594 PMCID: PMC6474147 DOI: 10.3390/nano9030352] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 02/02/2019] [Revised: 02/20/2019] [Accepted: 02/26/2019] [Indexed: 01/03/2023]
Abstract
The microscopic and semi-macroscopic mechanisms responsible for photoinduced mass transport in functionalized azo-polymers are far from deeply understood. To get some insight into those mechanisms on "microscopic" scale, we studied the directed photoinduced motion of single functionalized polymer chains under various types of polarized light illumination using Monte Carlo bond fluctuation model and our kinetic Monte Carlo model for photoinduced mass transport. We found sub-diffusive, diffusive and super-diffusive regimes of the dynamics of single chains at constant illumination and mostly super-diffusive regime for directed motion in the presence of the gradient of light intensity. This regime is more enhanced for long than for short chains and it approaches the ballistic limit for very long chains. We propose a physical picture of light-driven inscription of Surface Relief Gratings (SRG) as corresponding to a dynamical coexistence of normal and anomalous diffusion in various parts of the system. A simple continuous time random walk model of SRG inscription based on this physical picture reproduced the light-driven mass transport found in experiments as well as the fine structure of SRG.
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Affiliation(s)
- Grzegorz Pawlik
- Department of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland.
| | | | - Antoni C Mitus
- Department of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland.
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6
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Vericat F, Carlevaro CM, Stoico CO, Renzi DG. Clustering and percolation theory for continuum systems: Clusters with nonspecific bonds and a residence time in their definition. J Mol Liq 2018. [DOI: 10.1016/j.molliq.2017.11.046] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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7
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Radosz W, Pawlik G, Mitus AC. Complex Dynamics of Photo-Switchable Guest Molecules in All-Optical Poling Close to the Glass Transition: Kinetic Monte Carlo Modeling. J Phys Chem B 2018; 122:1756-1765. [PMID: 29334735 DOI: 10.1021/acs.jpcb.7b11949] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We study theoretically the kinetics of noninteracting photoswitchable guest molecules (model azo-dye) dispersed at low concentration in host (model polymer matrix) in the all-optical poling process close to the glass transition temperature Tg. We modify kinetic Monte Carlo model used in our previous studies of nonlinear optical processes in host-guest systems. The polymer matrix is simulated using the bond-fluctuation model. The kinetics of multiple trans-cis-trans cycles is formulated in terms of transition probabilities which depend on local free volume in the matrix and its dynamics. Close to Tg, the buildup of polar order, monitored in terms of angular probability density functions, follows a power-law in time while the evolution of the nonlinear susceptibilities related to second harmonic generation effect follows the stretched-exponential law. This complex dynamics of guest molecules implies the presence of dynamic heterogeneities of the matrix in space and time which spread the complexity from the matrix to the otherwise simple dynamics of noninteracting guest molecules. A qualitative physical picture of mosaic-like states-intertwined areas of free- and hindered angular motion of guest molecules-is proposed and the role of related short and longer scales in space for the promotion of complex dynamics of guest molecules is discussed. A brief comparison of the theory to available experimental data is given.
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Affiliation(s)
- W Radosz
- Department of Theoretical Physics, Wroclaw University of Science and Technology , Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland
| | - G Pawlik
- Department of Theoretical Physics, Wroclaw University of Science and Technology , Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland
| | - A C Mitus
- Department of Theoretical Physics, Wroclaw University of Science and Technology , Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, Poland
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Banerjee P, Roy S, Nair N. Coarse-Grained Molecular Dynamics Force-Field for Polyacrylamide in Infinite Dilution Derived from Iterative Boltzmann Inversion and MARTINI Force-Field. J Phys Chem B 2018; 122:1516-1524. [PMID: 29278334 DOI: 10.1021/acs.jpcb.7b09019] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We present a mesoscale model of aqueous polyacrylamide in the infinitely dilute concentration regime, by combining an extant coarse-grained (CG) force-field, MARTINI, and the Iterative Boltzmann Inversion protocol (IBI). MARTINI force-field was used to retain the thermodynamics of solvation of the polymer in water, whereas the structural properties and intrapolymer interactions were optimized by IBI. Atomistic molecular dynamics simulations of polymer in water were performed to benchmark the mesoscale simulations. Our results from the CG model show excellent agreement in structure with the atomistic system. We also studied the dynamical behavior of our CG system by computing the shear viscosity and compared it with the standard IBI model. The viscosity trends of our model were similar to the atomistic system, whereas the standard IBI model was highly dissimilar as expected. In summary, our hybrid CG model sufficiently mimics an infinitely dilute system, and is superior to both MARTINI and IBI in representing the structure and thermodynamics of the atomistic system, respectively. Our hybrid coarse-graining strategy promises applicability in large-scale simulations of polymeric/biological systems where the structure needs to be replicated accurately while preserving the thermodynamics of a smoother surrounding.
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Affiliation(s)
- Pallavi Banerjee
- Shell Technology Center , Bande Kodigehalli, Bengaluru, Karnataka 562149, India.,Department of Chemistry, Indian Institute of Science Education and Research , Pune, 411008 Maharashtra, India
| | - Sudip Roy
- Shell Technology Center , Bande Kodigehalli, Bengaluru, Karnataka 562149, India
| | - Nitish Nair
- Shell Technology Center , Bande Kodigehalli, Bengaluru, Karnataka 562149, India
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Nie Y, Ye X, Zhou Z, Hao T, Yang W, Lu H. Structural characteristics of a cooperatively rearranging region during the glass transition of a polymer system. RSC Adv 2015. [DOI: 10.1039/c4ra16849f] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
Local ordered structures are formed during glass transition. These local orders preferred to move cooperatively during relaxation. In other words, the cooperatively rearranging regions contained some local order.
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Affiliation(s)
- Yijing Nie
- School of Materials Science and Engineering
- Jiangsu University
- Zhenjiang 212013
- China
| | - Xubo Ye
- School of Materials Science and Engineering
- Jiangsu University
- Zhenjiang 212013
- China
| | - Zhiping Zhou
- School of Materials Science and Engineering
- Jiangsu University
- Zhenjiang 212013
- China
| | - Tongfan Hao
- School of Materials Science and Engineering
- Jiangsu University
- Zhenjiang 212013
- China
| | - Wenming Yang
- School of Materials Science and Engineering
- Jiangsu University
- Zhenjiang 212013
- China
| | - Haifeng Lu
- School of Materials Science and Engineering
- Jiangsu University
- Zhenjiang 212013
- China
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Nie Y, Ye X, Zhou Z, Yang W, Tao L. Intrinsic correlations between dynamic heterogeneity and conformational transition in polymers during glass transition. J Chem Phys 2014; 141:074901. [DOI: 10.1063/1.4892757] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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11
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Kreitmeier S, Wittkop M, Göritz D. Computer simulations of energetic and conformational changes in polymer systems. ACTA ACUST UNITED AC 2011. [DOI: 10.1002/masy.19951000130] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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13
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Binder K. I. Glass Transition. Theoretical concepts on the glass transition of polymers and their test by computer simulation. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19961000902] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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14
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Sung BJ, Yethiraj A. Structure of void space in polymer solutions. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:031801. [PMID: 20365759 DOI: 10.1103/physreve.81.031801] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/30/2009] [Revised: 12/21/2009] [Indexed: 05/29/2023]
Abstract
The structure of void space in two- and three-dimensional (3D) polymer solutions is studied using Voronoi tessellation and percolation theory. The polymer molecules are modeled as freely jointed chains of N tangent hard disks (two dimensions) or spheres (three dimensions). Polymer chains are equilibrated via Monte Carlo simulations and the pore space in configurations of equilibrated chains is mapped using Voronoi tessellation. In d dimensions a Voronoi vertex is the center of the sphere tangent to the d+1 nearest monomers. An edge of the Voronoi diagram is the shortest route between two neighboring vertices. The edge is considered connected if a monomer can pass through and disconnected otherwise. The Voronoi construction is used to calculate the percolation threshold of the void space. The most interesting result is that the polymer area fraction at the percolation threshold is a nonmonotonic function of N in two dimensions but monotonically reaches a constant value in three dimensions. The crossover behavior of the percolation threshold is also observed in pseudo-3D. The pore size distribution decreases monotonically with increasing pore size. This is markedly different from that in configurations of hard disks (monomeric fluid) where the pore size distribution is peaked at finite size.
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Affiliation(s)
- Bong June Sung
- Department of Chemistry, Sogang University, Seoul 121-742, Republic of Korea
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Binder K, Baschnagel J, Böhmer S, Paul W. Simulation of the glass transition in polymeric systems: Evidence for an underlying phase transition? ACTA ACUST UNITED AC 2009. [DOI: 10.1080/13642819808204987] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Kurt Binder
- a Institut für Physik, Johannes Gutenberg-Universität Mainz , Straudingerweg 7, D-55099 , Mainz , Germany
| | - Jörg Baschnagel
- a Institut für Physik, Johannes Gutenberg-Universität Mainz , Straudingerweg 7, D-55099 , Mainz , Germany
| | - Sabine Böhmer
- a Institut für Physik, Johannes Gutenberg-Universität Mainz , Straudingerweg 7, D-55099 , Mainz , Germany
| | - Wolfgang Paul
- a Institut für Physik, Johannes Gutenberg-Universität Mainz , Straudingerweg 7, D-55099 , Mainz , Germany
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Descas R, Sommer JU, Blumen A. Grafted Polymer Chains Interacting with Substrates: Computer Simulations and Scaling. MACROMOL THEOR SIMUL 2008. [DOI: 10.1002/mats.200800046] [Citation(s) in RCA: 50] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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17
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Sung BJ, Yethiraj A. The effect of matrix structure on the diffusion of fluids in porous media. J Chem Phys 2008; 128:054702. [PMID: 18266457 DOI: 10.1063/1.2823735] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The effect of matrix structure on the transport properties of adsorbed fluids is studied using computer simulations and percolation theory. The model system consists of a fluid of hard spheres diffusing in a matrix of hard spheres fixed in space. Three different arrangements of the fixed spheres, random, templated, and polymeric, are investigated. For a given matrix volume fraction the diffusion coefficient of the fluid, D, is sensitive to the manner in which the matrix is constructed, with large differences between the three types of matrices. The matrix is mapped onto an effective lattice composed of vertices and bonds using a Voronoi tessellation method where the connectivity of bonds is determined using a geometric criterion, i.e., a bond is connected if a fluid particle can pass directly between the two pores the bond connects, and disconnected otherwise. The percolation threshold is then determined from the connectivity of the bonds. D displays universal scaling behavior in the reduced volume fraction, i.e., D approximately (1-phi(m)phi(c))(gamma), where phi(m) is the matrix volume fraction and phi(c) is the matrix volume fraction at the percolation threshold. We find that gamma approximately 2.2, independent of matrix type, which is different from the result gamma approximately 1.53 for diffusion in lattice models, but similar to that for conduction in Swiss cheese models. Lattice simulations with biased hopping probabilities are consistent with the continuous-space simulations, and this shows that the universal behavior of diffusion is sensitive to details of local dynamics.
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Affiliation(s)
- Bong June Sung
- Department of Chemistry, Sogang University, Seoul 121-742, Republic of Korea
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18
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Rao S, Li X, Liang H. Developing coarse-grained force fields for polystyrene with different chain lengths from atomistic simulation. Macromol Res 2007. [DOI: 10.1007/bf03218940] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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19
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Li X, Kou D, Rao S, Liang H. Developing a coarse-grained force field for the diblock copolymer poly(styrene-b-butadiene) from atomistic simulation. J Chem Phys 2007; 124:204909. [PMID: 16774386 DOI: 10.1063/1.2200694] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
We have developed a coarse-grained force field for the poly(styrene-b-butadiene) diblock copolymer. We describe the computational methods and discuss how they were applied to develop a coarse-grained force field for this diblock copolymer from the atomistic simulation. The new force field contains three different bonds, four angles, five dihedral angles, and three nonbonded terms. We successfully tested this coarse-grained model against the chain properties, including static and dynamic properties, derived from the atomistic simulation; the results suggest that the coarse-grained force field is an effective model.
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Affiliation(s)
- Xuejin Li
- Hefei National Laboratory for Physical Sciences at Microscale, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
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20
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Determining the Glass Transition in Polymer Melts. REVIEWS IN COMPUTATIONAL CHEMISTRY 2007. [DOI: 10.1002/9780470189078.ch1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register]
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Descas R, Sommer JU, Blumen A. Concentration and saturation effects of tethered polymer chains on adsorbing surfaces. J Chem Phys 2006; 125:214702. [PMID: 17166035 DOI: 10.1063/1.2400222] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We consider end-grafted chains at an adsorbing surface under good solvent conditions using Monte Carlo simulations and scaling arguments. Grafting of chains allows us to fix the surface concentration and to study a wide range of surface concentrations from the undersaturated state of the surface up to the brushlike regime. The average extension of single chains in the direction parallel and perpendicular to the surface is analyzed using scaling arguments for the two-dimensional semidilute surface state according to Bouchaud and Daoud [J. Phys. (Paris) 48, 1991 (1987)]. We find good agreement with the scaling predictions for the scaling in the direction parallel to the surface and for surface concentrations much below the saturation concentration (dense packing of adsorption blobs). Increasing the grafting density we study the saturation effects and the oversaturation of the adsorption layer. In order to account for the effect of excluded volume on the adsorption free energy we introduce a new scaling variable related with the saturation concentration of the adsorption layer (saturation scaling). We show that the decrease of the single chain order parameter (the fraction of adsorbed monomers on the surface) with increasing concentration, being constant in the ideal semidilute surface state, is properly described by saturation scaling only. Furthermore, the simulation results for the chains' extension from higher surface concentrations up to the oversaturated state support the new scaling approach. The oversaturated state can be understood using a geometrical model which assumes a brushlike layer on top of a saturated adsorption layer. We provide evidence that adsorbed polymer layers are very sensitive to saturation effects, which start to influence the semidilute surface scaling even much below the saturation threshold.
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Affiliation(s)
- Radu Descas
- Theoretische Polymerphysik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany.
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23
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Hansen JP, Yip S. Molecular dynamics investigations of slow relaxations in supercooled liquids. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/00411459508203948] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Jean-Pierre Hansen
- a Laboratoire de Physique , Ecole Normale Supérieure de Lyon , 46 allée d'ltalie, 68364 , Lyon , Cédex 07 , France
| | - Sidney Yip
- b Department of Nuclear Engineering , Massachusetts Institute of Technology , Cambridge , MA , 02139 , USA
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Pugnaloni LA, Zarragoicoechea GJ, Vericat F. Cluster pair correlation function of simple fluids: Energetic connectivity criteria. J Chem Phys 2006; 125:194512. [PMID: 17129128 DOI: 10.1063/1.2378920] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We consider the clustering of Lennard-Jones particles by using an energetic connectivity criterion proposed long ago by Hill [J. Chem. Phys. 32, 617 (1955)] for the bond between pairs of particles. The criterion establishes that two particles are bonded (directly connected) if their relative kinetic energy is less than minus their relative potential energy. Thus, in general, it depends on the direction as well as on the magnitude of the velocities and positions of the particles. An integral equation for the pair connectedness function, proposed by two of the authors [Phys. Rev. E 61, R6067 (2000)], is solved for this criterion and the results are compared with those obtained from molecular dynamics simulations and from a connectedness Percus-Yevick-type integral equation for a velocity-averaged version of Hill's energetic criterion.
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Affiliation(s)
- Luis A Pugnaloni
- Instituto de Física de Líquidos y Sistemas Biológicos (IFLYSIB), UNLP-CONICET, cc. 565, 1900 La Plata, Argentina.
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Baschnagel JÖR, Binder K. Monte Carlo simulation of the glass transition in polymeric systems: Recent developments. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/01418639508238548] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- JÖRg Baschnagel
- a Institut für Physik, Johannes Gutenberg-Universität Mainz , Staudinger Weg 7, D-55099 , Mainz , Germany
| | - Kurt Binder
- a Institut für Physik, Johannes Gutenberg-Universität Mainz , Staudinger Weg 7, D-55099 , Mainz , Germany
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Leontidis E, de Pablo JJ, Laso M, Suter UW. A critical evaluation of novel algorithms for the off-lattice Monte Carlo simulation of condensed polymer phases. ADVANCES IN POLYMER SCIENCE 2006. [DOI: 10.1007/bfb0080202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 03/07/2023]
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27
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Molina-Mateo J, Meseguer-Dueñas J, Gómez-Ribelles J. On the role of inter- and intra-molecular potentials in the simulation of vitrification with the bond fluctuation model. POLYMER 2005. [DOI: 10.1016/j.polymer.2005.06.022] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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28
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Zarragoicoechea GJ, Pugnaloni LA, Lado F, Lomba E, Vericat F. Percolation of clusters with a residence time in the bond definition: Integral equation theory. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 71:031202. [PMID: 15903415 DOI: 10.1103/physreve.71.031202] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/22/2004] [Indexed: 05/02/2023]
Abstract
We consider the clustering and percolation of continuum systems whose particles interact via the Lennard-Jones pair potential. A cluster definition is used according to which two particles are considered directly connected (bonded) at time t if they remain within a distance d, the connectivity distance, during at least a time of duration tau, the residence time. An integral equation for the corresponding pair connectedness function, recently proposed by two of the authors [Phys. Rev. E 61, R6067 (2000)], is solved using the orthogonal polynomial approach developed by another of the authors [Phys. Rev. E 55, 426 (1997)]. We compare our results with those obtained by molecular dynamics simulations.
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Affiliation(s)
- J. C. Schön
- Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
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Simulation of Models for the Glass Transition: Is There Progress? ACTA ACUST UNITED AC 2002. [DOI: 10.1007/3-540-45837-9_7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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31
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Xu G, Ding J, Yang Y. Monte Carlo simulation of self-avoiding lattice chains subject to simple shear flow Part II. Three-dimensional results and comparison with experiments. POLYMER 2000. [DOI: 10.1016/s0032-3861(99)00492-9] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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32
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Rosche M, Winkler RG, Reineker P, Schulz M. Topologically induced glass transition in dense polymer systems. J Chem Phys 2000. [DOI: 10.1063/1.480880] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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33
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Chen CM, Higgs PG. Monte-Carlo simulations of polymer crystallization in dilute solution. J Chem Phys 1998. [DOI: 10.1063/1.475830] [Citation(s) in RCA: 65] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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34
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Xu G, Ding J, Yang Y. Monte Carlo simulation of self-avoiding lattice chains subject to simple shear flow. I. Model and simulation algorithm. J Chem Phys 1997. [DOI: 10.1063/1.474763] [Citation(s) in RCA: 33] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Okun K, Wolfgardt M, Baschnagel J, Binder K. Dynamics of Polymer Melts above the Glass Transition: Monte Carlo Studies of the Bond Fluctuation Model. Macromolecules 1997. [DOI: 10.1021/ma961605b] [Citation(s) in RCA: 42] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- K. Okun
- Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg 7, D-55099 Mainz, Germany
| | - M. Wolfgardt
- Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg 7, D-55099 Mainz, Germany
| | - J. Baschnagel
- Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg 7, D-55099 Mainz, Germany
| | - K. Binder
- Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg 7, D-55099 Mainz, Germany
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36
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Hölzl T, Wittkop M, Kreitmeier S, Göritz D. Uniaxial deformation of bridging polymer systems: A Monte Carlo study. J Chem Phys 1997. [DOI: 10.1063/1.473779] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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37
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Heuer A, Okun K. Heterogeneous and homogeneous dynamics in a simulated polymer melt: Analysis of multi-time correlation functions. J Chem Phys 1997. [DOI: 10.1063/1.473240] [Citation(s) in RCA: 98] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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38
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Gottstein W, Kreitmeier S, Wittkop M, Göritz D, Gotsis F. Monte Carlo simulations of the adsorption of a single polymer chain on rough surfaces. POLYMER 1997. [DOI: 10.1016/s0032-3861(96)00670-2] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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39
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Dotera T, Hatano A. The diagonal bond method: A new lattice polymer model for simulation study of block copolymers. J Chem Phys 1996. [DOI: 10.1063/1.472696] [Citation(s) in RCA: 88] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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40
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Wittkop M, Kreitmeier S, Göritz D. Swelling of Subchains of a Single Polymer Chain with Excluded Volume in Two and Three Dimensions: A Monte Carlo Study. Macromolecules 1996. [DOI: 10.1021/ma950985i] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- M. Wittkop
- Universität Regensburg, Institut für Experimentelle und Angewandte Physik, D-93040 Regensburg, Germany
| | - S. Kreitmeier
- Universität Regensburg, Institut für Experimentelle und Angewandte Physik, D-93040 Regensburg, Germany
| | - D. Göritz
- Universität Regensburg, Institut für Experimentelle und Angewandte Physik, D-93040 Regensburg, Germany
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41
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Schulz M, Reineker P. Dilute and dense systems of random copolymers in the equilibrium state. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 53:12017-12023. [PMID: 9982827 DOI: 10.1103/physrevb.53.12017] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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42
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Wittkop M, Kreitmeier S, Göritz D. Computer simulations of energetic and entropic changes of a single polymer chain under extension. ACTA ACUST UNITED AC 1996. [DOI: 10.1039/ft9969201375] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Wittkop M, Kreitmeier S, Göritz D. Monte Carlo simulations of a single polymer chain under extension above and below the Theta temperature. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 53:838-845. [PMID: 9964319 DOI: 10.1103/physreve.53.838] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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44
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Wittkop M, Kreitmeier S, Göritz D. The distribution function of internal distances of a single polymer chain with excluded volume in two and three dimensions: A Monte Carlo study. J Chem Phys 1996. [DOI: 10.1063/1.470834] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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Wang CL, Wang SJ. Scaling behavior of free-volume holes in polymers probed by positron annihilation. PHYSICAL REVIEW. B, CONDENSED MATTER 1995; 51:8810-8814. [PMID: 9977517 DOI: 10.1103/physrevb.51.8810] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Yang Y, Lu J, Zhang H, Yu T. Phase Equilibria in Mixtures of Thermotropic Small Molecular Liquid Crystals and Flexible Polymers. Polym J 1994. [DOI: 10.1295/polymj.26.880] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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48
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Lobe B, Baschnagel J. Monte Carlo simulation of the glass transition in two‐ and three‐dimensional polymer melts: Influence of the spatial dimension. J Chem Phys 1994. [DOI: 10.1063/1.467782] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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49
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Wittkop M, Sommer J, Kreitmeier S, Göritz D. Monte Carlo simulations of a single polymer chain under an external force in two and three dimensions. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:5472-5476. [PMID: 9961874 DOI: 10.1103/physreve.49.5472] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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50
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Baschnagel J. Analysis of the incoherent intermediate scattering function in the framework of the idealized mode-coupling theory: A Monte Carlo study for polymer melts. PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:135-146. [PMID: 10009269 DOI: 10.1103/physrevb.49.135] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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