Twenty Five Years After KLS: A Celebration of Non-equilibrium Statistical Mechanics

Zia, R. K. P.

doi:10.1007/s10955-009-9884-0

Cited by 36 publications

(43 citation statements)

References 108 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this model Ising spins move under the influence of an 'electric field' E that drives spin types (or particles and holes in lattice-gas language) in opposing directions. The half-full DLG displays a continuous order-disorder phase transition, with non-Ising exponents, at a critical temperature that increases with E and saturates as E → ∞ at about 1.4 times the Ising critical temperature [14,15,17].…”

Section: A Possible Lattice-based Reference System For Lane Formamentioning

confidence: 99%

“…The half-full DLG displays a continuous phase transition characterized by system-spanning fluctuations and a discontinuity in the rate of change of particle current with temperature [14,34]. By analogy, we expect the The off-lattice model displays (a) a change of slope of particle current with Pe (the dashed black line shows a linear fit to the current values for Péclet numbers 50-85 in order to highlight the change in slope) and (b) system-spanning current fluctuations, similar to the behavior of the driven lattice gas at its critical point.…”

Section: A Possible Lattice-based Reference System For Lane Formamentioning

confidence: 99%

See 1 more Smart Citation

Microscopic origin and macroscopic implications of lane formation in mixtures of oppositely driven particles

2016

View full text Add to dashboard Cite

Colloidal particles of two types, driven in opposite directions, can segregate into lanes [Vissers et al. Soft Matter 7, 2352]. This phenomenon can be reproduced by two-dimensional Brownian dynamics simulations of model particles [Dzubiella et al. Phys. Rev. E 65, 021402 (2002)]. Here we use computer simulation to assess the generality of lane formation with respect to variation of particle type and dynamical protocol. We find that laning results from rectification of diffusion on the scale of a particle diameter: oppositely-driven particles must, in the time taken to encounter each other in the direction of the drive, diffuse in the perpendicular direction by about one particle diameter. This geometric constraint implies that the diffusion constant of a particle, in the presence of those of the opposite type, grows approximately linearly with Péclet number, a prediction confirmed by our numerics over a range of model parameters. Such environment-dependent diffusion is statistically similar to an effective interparticle attraction; consistent with this observation, we find that oppositely-driven non-attractive colloids display features characteristic of the simplest model system possessing both interparticle attractions and persistent motion, the driven Ising lattice gas [Katz, Leibowitz, Spohn, J. Stat. Phys. 34, 497 (1984)]. These features include long-ranged correlations in the disordered regime, and a critical regime characterized by a change in slope of the particle current with Péclet number and by fluctuations that grow with system size. By analogy, we suggest that lane formation in the driven colloid system is in the macroscopic limit a phase transition, but that macroscopic phase separation would not occur in finite time upon starting from disordered initial conditions.

show abstract

Section: A Possible Lattice-based Reference System For Lane Formamentioning

confidence: 99%

Section: A Possible Lattice-based Reference System For Lane Formamentioning

confidence: 99%

Microscopic origin and macroscopic implications of lane formation in mixtures of oppositely driven particles

2016

View full text Add to dashboard Cite

show abstract

“…This work examines entropy production in a statistical-mechanical model that is simple enough so that calculations are transparent, include all system states, and require no approximations beyond numerical calculations. The system studied in this work is the driven lattice gas(DLG) [1][2][3] In the DLG model an external field drives particles across a lattice. There are pairwise attractions between particles.…”

Section: Introductionmentioning

confidence: 99%

Entropy Production from the Master Equation for Driven Lattice Gases

Kumar¹,

Ford²,

Zielke³

et al. 2012

View full text Add to dashboard Cite

Entropy production was calculated for the driven lattice gas on small two-dimensional square, hexagonal and triangular lattices. Steady-state and time-dependent properties were calculated with the master equation, using the complete transition matrix for all configurations. Entropy production from dissipated work or from probability current was the same for transition rates that preserved local detailed balance. Entropy production was calculated along several relaxation paths. Steady states, on all three lattices, were not states of either maximum or minimum entropy production.

show abstract

“…One of the most investigated ones in that context is a driven lattice gas (DLG) involving hard-core particle diffusion under an external bulk field which biases the particle flow along one of the lattice axes. Introduced by Katz, Lebowitz and Spohn [1] in part with the aim of studying the physics of fast ionic conductors [2], it has triggered a great deal of research for almost three decades [3,4]. In the high field limit this system describes an asymmetric simple exclusion process (ASEP) [5,6] which already in one-dimension (1D) under suitable boundary conditions has encountered applications as diverse as protein synthesis [7], inhomogeneous interface growth [8], and vehicular traffic [9].…”

Section: Introductionmentioning

confidence: 99%

Simulations of driven and reconstituting lattice gases

Grynberg

2011

Phys. Rev. E

View full text Add to dashboard Cite

We discuss stationary aspects of a set of driven lattice gases in which hard-core particles with spatial extent, covering more than one lattice site, diffuse and reconstruct in one dimension under nearest-neighbor interactions. As in the uncoupled case [ M. Barma et al., J. Phys. Condens. Matter 19, 065112 (2007) ], the dynamics of the phase space breaks up into an exponentially large number of mutually disconnected sectors labeled by a non-local construct, the irreducible string. Depending on whether the particle couplings are taken attractive or repulsive, simulations in most of the studied sectors show that both steady state currents and pair correlations behave quite differently at low temperature regimes. For repulsive interactions an order-by-disorder transition is suggested.

show abstract

Twenty Five Years After KLS: A Celebration of Non-equilibrium Statistical Mechanics

Cited by 36 publications

References 108 publications

Microscopic origin and macroscopic implications of lane formation in mixtures of oppositely driven particles

Microscopic origin and macroscopic implications of lane formation in mixtures of oppositely driven particles

Entropy Production from the Master Equation for Driven Lattice Gases

Simulations of driven and reconstituting lattice gases

Contact Info

Product

Resources

About