Diffusion of interacting particles in discrete geometries: Equilibrium and dynamical properties

Becker, Thijs; Nelissen, K.; Cleuren, Bart; Partoens, B.; Broeck, C. Van den

doi:10.1103/physreve.90.052139

Cited by 11 publications

(25 citation statements)

References 64 publications

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“…Recently, we have studied the diffusive behavior of a lattice model of interacting particles [41][42][43]. The original motivation was the study of diffusion in nanoporous materials [44].…”

Section: The Modelmentioning

confidence: 99%

“…The rates at which a reservoir cavity at chemical potential μ adds ( + k n ) or removes ( − k n ) one particle from a cavity containing n particles are This model is a GEP [35] with a stochastic thermodynamical interpretation for the equilibrium statistics and dynamics. When defined like this it is an adequate model for the understanding of the equilibrium and diffusive behavior of particles in nanoporous materials [41][42][43]. For = n 1 max the model reduces to the SSEP.…”

Section: The Modelmentioning

confidence: 99%

“…The free energy can be written as = + + F n n cn f n ( ) ln ! ( ), with c a constant [41,42]. The first term accounts for the indistinguishability of the particles.…”

Section: The Modelmentioning

confidence: 99%

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Current fluctuations in boundary driven diffusive systems in different dimensions: a numerical study

2015

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We use kinetic Monte Carlo simulations to investigate current fluctuations in boundary driven generalized exclusion processes, in different dimensions. Simulation results are in full agreement with predictions based on the additivity principle and the macroscopic fluctuation theory. The current statistics are independent of the shape of the contacts with the reservoirs, provided they are macroscopic in size. In general, the current distribution depends on the spatial dimension. For the special cases of the symmetric simple exclusion process and the zero-range process, the current statistics are the same for all spatial dimensions.

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“…Recently, we have studied the diffusive behavior of a lattice model of interacting particles [41][42][43]. The original motivation was the study of diffusion in nanoporous materials [44].…”

Section: The Modelmentioning

confidence: 99%

Section: The Modelmentioning

confidence: 99%

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Current fluctuations in boundary driven diffusive systems in different dimensions: a numerical study

2015

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“…Even though the ρ-dependence is qualitatively reproduced, the numerically obtained value of the diffusion coefficient is lower. From extensive numerical simulations [2,4,6] we suspect that correlations always lower the diffusion. We refer to [4] for a detailed discussion of the influence of correlations upon the diffusion.…”

mentioning

confidence: 99%

“…Refs. [2,4] for a description of the simulation methods. In two and three dimensions the algorithm of Schulze [5] is used.…”

mentioning

confidence: 99%

Comment on “Generalized exclusion processes: Transport coefficients”

et al. 2016

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In a recent paper Arita et al. [Phys. Rev. E 90, 052108 (2014)] consider the transport properties of a class of generalized exclusion processes. Analytical expressions for the transport-diffusion coefficient are derived by ignoring correlations. It is claimed that these expressions become exact in the hydrodynamic limit. In this Comment, we point out that (i) the influence of correlations upon the diffusion does not vanish in the hydrodynamic limit, and (ii) the expressions for the self-and transport diffusion derived by Arita et al. are special cases of results derived in [Phys. Rev. Lett. 111, 110601 (2013)].

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Short-range and long-range correlations in driven dense colloidal mixtures in narrow pores

2022

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Diffusion of interacting particles in discrete geometries: Equilibrium and dynamical properties

Cited by 11 publications

References 64 publications

Current fluctuations in boundary driven diffusive systems in different dimensions: a numerical study

Current fluctuations in boundary driven diffusive systems in different dimensions: a numerical study

Comment on “Generalized exclusion processes: Transport coefficients”

Short-range and long-range correlations in driven dense colloidal mixtures in narrow pores

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