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Slow relaxation and aging kinetics for the driven lattice gas

Journal Article · · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
 [1];  [2]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Virginia Tech, Department of Physics
  2. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
+ Show Author Affiliations
We numerically investigate the long-time behavior of the density-density autocorrelation function in driven lattice gases with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo simulations. In the one-dimensional asymmetric exclusion process on a ring with half the lattice sites occupied, we find that correlations induce extremely slow relaxation to the asymptotic power law decay. We compare the crossover functions obtained from our simulations with various analytic results in the literature and analyze the characteristic oscillations that occur in finite systems away from half-filling. As expected, in three dimensions correlations are weak and consequently the mean-field description is adequate. We also investigate the relaxation toward the nonequilibrium steady state in the two-time density-density autocorrelations, starting from strongly correlated initial conditions. Furthermore, we obtain simple aging scaling behavior in one, two, and three dimensions, with the expected power laws.
Research Organization:
Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
Grant/Contract Number:
SC0002308
OSTI ID:
1855155
Journal Information:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Issue: 5 Vol. 83; ISSN 1539-3755
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (4)

Critical dynamics of the jamming transition in one-dimensional nonequilibrium lattice-gas models journal April 2016
Logarithmic Superdiffusion in Two Dimensional Driven Lattice Gases journal March 2018
On relaxations and aging of various glasses journal February 2012
Transverse temperature interfaces in the Katz-Lebowitz-Spohn driven lattice gas journal December 2019

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS