Driven Widom-Rowlinson lattice gas

Physical Review. E
Ronald Dickman, R K P Zia

Abstract

In the Widom-Rowlinson lattice gas, two particle species (A, B) diffuse freely via particle-hole exchange, subject to both on-site exclusion and prohibition of A-B nearest-neighbor pairs. As an athermal system, the overall densities are the only control parameters. As the densities increase, an entropically driven phase transition occurs, leading to ordered states with A- and B-rich domains separated by hole-rich interfaces. Using Monte Carlo simulations, we analyze the effect of imposing a drive on this system, biasing particle moves along one direction. Our study parallels that for a driven Ising lattice gas, the Katz-Lebowitz-Spohn (KLS) model, which displays atypical collective behavior, e.g., structure factors with discontinuity singularities and ordered states with domains only parallel to the drive. Here, other interesting features emerge, including structure factors with kink singularities (best fitted to |q|), maxima at nonvanishing wave-vector values, oscillating correlation functions, and ordering into multiple striped domains perpendicular to the drive, with a preferred wavelength depending on density and drive intensity. Moreover, the (hole-rich) interfaces between the domains are statistically rough (whether drive...Continue Reading

References

Aug 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·K HwangR K Zia
Jan 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G SzabóT Antal
Jun 1, 1994·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·K E Bassler, R K Zia
Mar 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·G Szabó, A Szolnoki
Oct 10, 1988·Physical Review Letters·K LeungR K Zia
Nov 4, 1996·Physical Review Letters·K E Bassler, D A Browne
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Dickman
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Attila Szolnoki, György Szabó
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Punyabrata PradhanUdo Seifert
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ronald Dickman, Ricardo Motai
Jan 24, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ronald Dickman
Apr 15, 2016·Physical Review. E·T R KirkpatrickJ V Sengers

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Citations

May 22, 2019·Physical Review. E·Robert HolystMichał Banaszak
Dec 9, 2020·Entropy·Yirui ZhangRobert Hołyst

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