Nonequilibrium Relaxation and Critical Aging for Driven Ising Lattice Gases

Daquila, George L.; Täuber, Uwe C.

doi:10.1103/physrevlett.108.110602

Cited by 20 publications

(34 citation statements)

References 43 publications

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“…The DLG displays long-ranged correlations in the disordered phase; we show numerically that the same is true of the off-lattice model. The DLG also displays a continuous order-disorder phase transition (in a non-Ising universality class) between a disordered phase and a phase characterized by lane-like structures [15][16][17][18]. This transition is characterized by a break in the slope of particle current with model parameters, and system-spanning fluctuations.…”

Section: Introductionmentioning

confidence: 98%

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

2016

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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.

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Section: Introductionmentioning

confidence: 98%

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

2016

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“…This fact often translates into the observation of novel critical exponents, but also into the possibility to measure the equilibrium and dynamical critical exponents, which characterize the stationary state from the observation of this nonequilibrium relaxation, with a substantial reduction of the numerical costs [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Universal Gaussian behavior of driven lattice gases at short times

et al. 2017

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The dynamic and static critical behaviors of driven and equilibrium lattice gas models are studied in two spatial dimensions. We show that in the short-time regime immediately following a critical quench, the dynamics of the transverse anisotropic order parameter, its autocorrelation, and Binder cumulant are consistent with the prediction of a Gaussian, i.e., noninteracting, effective theory, both for the nonequilibrium lattice gases and, to some extent, their equilibrium counterpart. Such a superuniversal behavior is observed only at short times after a critical quench, while the various models display their distinct behaviors in the stationary states, described by the corresponding, known universality classes.

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“…As for the equilibrium situation, a continuous non-equilibrium phase transition is also characterized by a set of critical indices. Absorbing phase transitions encountered in reaction-diffusion systems [1,2] and phase transitions found in driven diffusive systems [3,4] are well studied examples of continuous phase transitions taking place far from equilibrium. Even though the values of the critical exponents have been determined in many cases, a classification of non-equilibrium phase transitions into non-equilibrium universality classes is far from complete.…”

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confidence: 99%

Dynamic phase transition in the three-dimensional kinetic Ising model in an oscillating field

Park

Pleimling

2013

Phys. Rev. E

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Using numerical simulations we investigate the properties of the dynamic phase transition that is encountered in the three-dimensional Ising model subjected to a periodically oscillating magnetic field. The values of the critical exponents are determined through finite-size scaling. Our results show that the studied non-equilibrium phase transition belongs to the universality class of the equilibrium three-dimensional Ising model.

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Nonequilibrium Relaxation and Critical Aging for Driven Ising Lattice Gases

Cited by 20 publications

References 43 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

Universal Gaussian behavior of driven lattice gases at short times

Dynamic phase transition in the three-dimensional kinetic Ising model in an oscillating field

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