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Rojas-Vega M, de Castro P, Soto R. Mixtures of self-propelled particles interacting with asymmetric obstacles. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2023; 46:95. [PMID: 37819444 DOI: 10.1140/epje/s10189-023-00354-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/02/2023] [Accepted: 09/22/2023] [Indexed: 10/13/2023]
Abstract
In the presence of an obstacle, active particles condensate into a surface "wetting" layer due to persistent motion. If the obstacle is asymmetric, a rectification current arises in addition to wetting. Asymmetric geometries are therefore commonly used to concentrate microorganisms like bacteria and sperms. However, most studies neglect the fact that biological active matter is diverse, composed of individuals with distinct self-propulsions. Using simulations, we study a mixture of "fast" and "slow" active Brownian disks in two dimensions interacting with large half-disk obstacles. With this prototypical obstacle geometry, we analyze how the stationary collective behavior depends on the degree of self-propulsion "diversity," defined as proportional to the difference between the self-propulsion speeds, while keeping the average self-propulsion speed fixed. A wetting layer rich in fast particles arises. The rectification current is amplified by speed diversity due to a superlinear dependence of rectification on self-propulsion speed, which arises from cooperative effects. Thus, the total rectification current cannot be obtained from an effective one-component active fluid with the same average self-propulsion speed, highlighting the importance of considering diversity in active matter.
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Affiliation(s)
- Mauricio Rojas-Vega
- Institute of Science and Technology Austria, Am Campus 1, 3400, Klosterneuburg, Austria
| | - Pablo de Castro
- ICTP South American Institute for Fundamental Research and Instituto de Física Teórica, Universidade Estadual Paulista - UNESP, São Paulo, 01140-070, Brazil.
| | - Rodrigo Soto
- Departamento de Física, FCFM, Universidad de Chile, Avenida Blanco Encalada 2008, Santiago, Chile
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2
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Rojas-Vega M, de Castro P, Soto R. Wetting dynamics by mixtures of fast and slow self-propelled particles. Phys Rev E 2023; 107:014608. [PMID: 36797971 DOI: 10.1103/physreve.107.014608] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/01/2022] [Accepted: 01/06/2023] [Indexed: 01/26/2023]
Abstract
We study active surface wetting using a minimal model of bacteria that takes into account the intrinsic motility diversity of living matter. A mixture of "fast" and "slow" self-propelled Brownian particles is considered in the presence of a wall. The evolution of the wetting layer thickness shows an overshoot before stationarity and its composition evolves in two stages, equilibrating after a slow elimination of excess particles. Nonmonotonic evolutions are shown to arise from delayed avalanches towards the dilute phase combined with the emergence of a transient particle front.
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Affiliation(s)
| | - Pablo de Castro
- ICTP South American Institute for Fundamental Research & Instituto de Física Teórica, Universidade Estadual Paulista - UNESP, 01140-070 São Paulo, Brazil
| | - Rodrigo Soto
- Departamento de Física, FCFM, Universidad de Chile, Avenida Blanco Encalada 2008, Santiago, Chile
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Heier M, Stephan S, Diewald F, Müller R, Langenbach K, Hasse H. Molecular Dynamics Study of Wetting and Adsorption of Binary Mixtures of the Lennard-Jones Truncated and Shifted Fluid on a Planar Wall. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2021; 37:7405-7419. [PMID: 34097830 PMCID: PMC8280723 DOI: 10.1021/acs.langmuir.1c00780] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/19/2021] [Revised: 05/14/2021] [Indexed: 06/12/2023]
Abstract
The wetting of surfaces is strongly influenced by adsorbate layers. Therefore, in this work, sessile drops and their interaction with adsorbate layers on surfaces were investigated by molecular dynamics simulations. Binary fluid model mixtures were considered. The two components of the fluid mixture have the same pure component parameters, but one component has a stronger and the other a weaker affinity to the surface. Furthermore, the unlike interactions between both components were varied. All interactions were described by the Lennard-Jones truncated and shifted potential with a cutoff radius of 2.5σ. The simulations were carried out at constant temperature for mixtures of different compositions. The parameters were varied systematically and chosen such that cases with partial wetting as well as cases with total wetting were obtained and the relation between the varied molecular parameters and the phenomenological behavior was elucidated. Data on the contact angle as well as on the mole fraction and thickness of the adsorbate layer were obtained, accompanied by information on liquid and gaseous bulk phases and the corresponding phase equilibrium. Also, the influence of the adsorbate layer on the wetting was studied: for a sufficiently thick adsorbate layer, the wall's influence on the wetting vanishes, which is then only determined by the adsorbate layer.
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Affiliation(s)
- Michaela Heier
- Laboratory
of Engineering Thermodynamics, Technische
Universität Kaiserslautern, 67663 Kaiserslautern, Germany
| | - Simon Stephan
- Laboratory
of Engineering Thermodynamics, Technische
Universität Kaiserslautern, 67663 Kaiserslautern, Germany
| | - Felix Diewald
- Institute
of Applied Mechanics, Technische Universität
Kaiserslautern, 67663 Kaiserslautern, Germany
| | - Ralf Müller
- Institute
of Applied Mechanics, Technische Universität
Kaiserslautern, 67663 Kaiserslautern, Germany
| | - Kai Langenbach
- Laboratory
of Engineering Thermodynamics, Technische
Universität Kaiserslautern, 67663 Kaiserslautern, Germany
- Thermal
Separation Science (Endowed Professorship of the State Tyrol), University of Innsbruck, 6020 Innsbruck, Austria
| | - Hans Hasse
- Laboratory
of Engineering Thermodynamics, Technische
Universität Kaiserslautern, 67663 Kaiserslautern, Germany
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Abstract
This paper discusses the results of the grand canonical ensemble Monte Carlo simulation of the wetting behavior of non-additive symmetric mixtures at non-selective walls. We have focused on the mixtures that exhibit closed immiscibility loops in the bulk, and the results obtained have demonstrated that such systems show a rather complex wetting behavior. In particular, such mixtures may exhibit a complete wetting at temperatures below the bulk demixing point, and an incomplete wetting at higher temperatures. Such a situation occurs when the adsorbed film remains mixed up to the bulk coexistence. However, close to the bulk tricritical point, being the onset of the continuous demixing transition (λ-line), a second wetting transition takes place. On the other hand, in the systems in which the adsorbed films undergo the demixing transition, a complete wetting may occur below as well as at and above the bulk demixing transition temperature. It has also been demonstrated that the wetting behavior depends strongly on the strength of the surface-fluid interaction.
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Affiliation(s)
- A Patrykiejew
- Department for the Modelling of Physico-Chemical Processes, Faculty of Chemistry, MCS University, 20031 Lublin, Poland.
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Kumar V, Errington JR. Understanding wetting of immiscible liquids near a solid surface using molecular simulation. J Chem Phys 2013; 139:064110. [DOI: 10.1063/1.4817535] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Materniak S, Patrykiejew A. Symmetrical mixtures in external fields. J Chem Phys 2013; 139:014705. [DOI: 10.1063/1.4812370] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
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BUCIOR KATARZYNA, PATRYKIEJEW ANDRZEJ, PIZIO OREST, SOKOŁOWSKI STEFAN, SOKOŁOWSKA ZOFIA. Demixing of a binary mixture in slit-like pores at high temperatures. Mol Phys 2009. [DOI: 10.1080/0026897021000021859] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- KATARZYNA BUCIOR
- a Department for the Modelling of Physico-Chemical Processes , Maria Curie-Sklodowska University , 20031 , Lublin , Poland
| | - ANDRZEJ PATRYKIEJEW
- a Department for the Modelling of Physico-Chemical Processes , Maria Curie-Sklodowska University , 20031 , Lublin , Poland
| | - OREST PIZIO
- b Institute of Chemistry, UNAM , Mexico D.F. , Mexico
| | - STEFAN SOKOŁOWSKI
- a Department for the Modelling of Physico-Chemical Processes , Maria Curie-Sklodowska University , 20031 , Lublin , Poland
| | - ZOFIA SOKOŁOWSKA
- c Institute of Agrophysics, Polish Academy of Sciences , 20346 , Lublin , Poland
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Kunor TR, Taraphder S. Bridge functions near the liquid-vapor coexistence curve in binary Lennard-Jones mixtures. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2006; 74:011201. [PMID: 16907081 DOI: 10.1103/physreve.74.011201] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/19/2005] [Revised: 05/31/2006] [Indexed: 05/11/2023]
Abstract
We have carried out extensive molecular-dynamics simulation studies of binary Lennard-Jones mixtures to calculate directly the bridge function at state points lying in a very narrow single fluid phase region between the vapor-liquid and solid-liquid coexistence lines [Lamm and Hall, Fluid Phase Equilib. 182, 37 (2001); 194-197, 197 (2002)]. By varying the density close to the liquid-vapor coexistence line, significant deviations are observed at intermediate distances between the simulated bridge function and two widely used approximate closures in the integral equation theory of liquids, viz. the hybrid mean spherical approximation and the Duh-Henderson closures. The overall qualitative agreement remains the same with small variation in temperature that brings the system closer to either the liquid-vapor or liquid-solid coexistence curve. We also report a comparison of the direct and indirect correlation functions obtained from our simulation studies as well as from the integral equation theory of liquids. Our results emphasize the need for developing new closures applicable to binary fluid mixtures over a wide range of thermodynamic parameters.
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Affiliation(s)
- Tapas R Kunor
- Department of Chemistry, Indian Institute of Technology, Kharagpur 721302, India.
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Patrykiejew A, Sokołowski S, Pizio O. On the separation of nonadditive symmetric mixtures in nanoscopic slitlike pores: A simple model for racemic fluids. J Phys Chem B 2005; 109:14227-34. [PMID: 16852786 DOI: 10.1021/jp048170b] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023]
Abstract
A grand canonical ensemble Monte Carlo simulation method is used to study the adsorption of nonadditive symmetric mixtures of Lennard-Jones spherical particles in nanoscopic slitlike pores. The walls of the pore are assumed to be formed by the parallel (100) planes of the model face centered cubic crystal of adjustable corrugation potential. It is demonstrated that depending on the nonadditivity effects in the mixture and the pore width the condensed phases formed inside the pore may have different structures. In particular, it is shown that the mixture may separate into layers containing only one component each and the stacking may depend on the pore width and properties of the mixture.
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Affiliation(s)
- A Patrykiejew
- Faculty of Chemistry, MCS University, 20031 Lublin, Poland.
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Bucior K. Capillary condensation of a model binary mixture in slit-like pores with differently adsorbing walls. Colloids Surf A Physicochem Eng Asp 2004. [DOI: 10.1016/j.colsurfa.2004.05.008] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Malijevsky A, Pizio O, Patrykiejew A, Sokolowski S. Phase behavior of symmetric binary mixtures with partially miscible components in spherical pores. Density functional approach. J Mol Liq 2004. [DOI: 10.1016/j.molliq.2003.12.002] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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12
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Silbermann JR, Woywod D, Schoen M. Wetting of a selective solid surface by an asymmetric binary mixture. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2004; 69:031606. [PMID: 15089303 DOI: 10.1103/physreve.69.031606] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/23/2003] [Indexed: 05/24/2023]
Abstract
We consider a lattice-gas model of an asymmetric binary mixture in which the attraction between a pair of molecules of species A exceeds that between a pair of molecules of species B. The interaction between two molecules of species A and B is chosen to promote the formation of demixed A-rich liquid bulk phases. Molecules interact with a selective solid wall, preferentially adsorbing molecules of species B. Positions of molecules are restricted to sites on a simple-cubic lattice. We invoke a mean-field representation of the Hamiltonian governing all intermolecular interactions and assume only nearest-neighbor attractions. Minimizing the grand-potential functional of the lattice gas numerically, phase diagrams for films wetting the solid substrate are obtained. One of our key findings concerns B-rich mixed or demixed films forming in the vicinity of the solid surface and coexisting with demixed A-rich films. The formation of B-rich films can be understood as a result of the competition between the asymmetry of the (bulk) mixture and the selectivity of the solid surface. The concentration of component B in B-rich mixed films shows a peculiar temperature dependence. It first increases with temperature T until an "inversion" temperature T(inv) is reached, and then declines for T>or=T(inv) until the critical point between (demixed) A- and B-rich films is reached.
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Affiliation(s)
- Jörg R Silbermann
- Stranski-Laboratorium für Physikalische und Theoretische Chemie, Sekr. TC 7, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Berlin, Strasse des 17. Juni 124, D-10623 Berlin, Germany.
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Patrykiejew A, Salamacha L, Sokołowski S, Pizio O. Wetting behavior of associating binary mixtures at attractive walls: a lattice Monte Carlo study. ACTA ACUST UNITED AC 2003; 67:061603. [PMID: 16241235 DOI: 10.1103/physreve.67.061603] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/02/2003] [Indexed: 11/07/2022]
Abstract
The lattice gas model is used to study the effects of molecular association on the wettability of surfaces with attractive walls by binary symmetric associating mixtures. The model assumes that the adsorbate particles occupy a regular cubic lattice of sites and that the interactions between adsorbate particles involve only the first nearest neighbors. The energies of interaction between the pairs of like particles are the same, while the only interaction between a pair of unlike particles is due to association. Only the formation of dimers is allowed and the energy of association is finite. The particles are subject to the surface, van der Waals-like potential, assumed to be the same for both components. The model is studied with the help of the Monte Carlo simulation method in the grand canonical ensemble. Only the ground state properties are treated analytically. It is demonstrated that, in general, molecular association hinders wetting. In particular, in the systems with nonzero wetting temperature, the increase of the association energy leads to the increase of the wetting temperature and for sufficiently high energy of association the mixture does not wet the surface at all. When the system is expected to exhibit complete wetting at the ground state, the film formed by strongly associating mixtures wets the surface only at sufficiently low temperatures, below the dewetting temperature. It is demonstrated that the dewetting temperature increases with the strength of the surface potential as well as with the increase of the association energy.
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Affiliation(s)
- A Patrykiejew
- Faculty of Chemistry, MCS University, Lublin, Poland
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14
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Bucior K. Capillary condensation of a model binary mixture in slit-like pores. Colloids Surf A Physicochem Eng Asp 2003. [DOI: 10.1016/s0927-7757(03)00025-6] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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15
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BUCIOR KATARZYNA, PATRYKIEJEW ANDRZEJ, PIZIO OREST, SOKOŁOWSKI STEFAN. Wetting behaviour of a model symmetric binary mixture with partially miscible components from a density functional approach. Mol Phys 2003. [DOI: 10.1080/0026897031000092283] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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16
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Martinez A, Pizio O, Sokołowski S. Phase behavior of symmetric binary mixture with partially miscible components in slitlike pores: Density functional approach. J Chem Phys 2003. [DOI: 10.1063/1.1556850] [Citation(s) in RCA: 6] [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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17
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Bucior K, Patrykiejew A, Pizio O, Sokołowski S. Capillary condensation of a binary mixture in slit-like pores. J Colloid Interface Sci 2003; 259:209-22. [PMID: 16256499 DOI: 10.1016/s0021-9797(02)00203-5] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/26/2002] [Accepted: 12/16/2002] [Indexed: 10/27/2022]
Abstract
We investigate the capillary condensation of two model fluid mixtures in slit-like pores, which exhibit different demixing properties in the bulk phase. The interactions between adsorbate particles are modeled by using Lennard-Jones (12,6) potentials and the adsorbing potentials are of the Lennard-Jones (9,3) type. The calculations are performed for different pore widths and at different concentrations of the bulk gas, by means of density functional theory. We evaluate the capillary phase diagrams and discuss their dependence on the parameters of the model. Our calculations indicate that a binary mixture confined to a slit-like pore may exhibit rich phase behavior.
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Affiliation(s)
- Katarzyna Bucior
- Department for the Modeling of Physico-Chemical Processes, Maria Curie-Skłodowska University, 20031 Lublin, Poland.
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