A Correction to the Hydrodynamic Limit of Boundary Driven Weakly Asymmetric Exclusion Processes in a Quasi-Static Time Scale

被引：1
|
作者：
Chavez, E. [1 ]
Landim, C. [1 ,2 ]
机构：
[1] IMPA, Estr Dona Castorina 110, BR-22460 Rio De Janeiro 22460, Brazil
[2] Univ Rouen, CNRS UMR 6085, Ave Univ,BP 12,Technopole Madrillet, F-76801 St Etienne, France
来源：
JOURNAL OF STATISTICAL PHYSICS | 2016年 / 163卷 / 05期
关键词：
Hydrodynamic equation; Boundary driven interacting particle systems; First order correction; Quasi-static transformations; MACROSCOPIC FLUCTUATION THEORY; DIMENSION D-GREATER-THAN-OR-EQUAL-TO-3; NONEQUILIBRIUM STATES;
D O I：
10.1007/s10955-016-1514-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a one-dimensional, weakly asymmetric, boundary driven exclusion process on the interval [0, N] boolean AND Z in the quasi-static time scale N-2 epsilon(-1)(N), where 1 << epsilon(-1)(N) << N-1/4. We assume that the external field and the chemical potentials, which fix the density at the boundaries, evolve smoothly in the macroscopic time scale. We derive an equation which describes the evolution of the density up to the order epsilon(N).
引用
收藏
页码：1079 / 1107
页数：29
相关论文
共 39 条
  • [31] Note about "first order correction for the hydrodynamic limit of symmetric simple exclusion processes with speed change in dimension d ≥ 3"
    Janvresse, E
    ANNALS OF PROBABILITY, 2002, 30 (02): : 1000 - 1001
  • [32] Calibration of the length scale parameter for the stress-driven nonlocal elasticity model from quasi-static and dynamic experiments
    Darban, Hossein
    Luciano, Raimondo
    Basista, Michal
    MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2023, 30 (17) : 3518 - 3524
  • [33] Well-Paired-Seq: A Size-Exclusion and Locally Quasi-Static Hydrodynamic Microwell Chip for Single-Cell RNA-Seq
    Yin, Kun
    Zhao, Meijuan
    Lin, Li
    Chen, Yingwen
    Huang, Shanqing
    Zhu, Chun
    Liang, Xuan
    Lin, Fanghe
    Wei, Haopai
    Zeng, Huimin
    Zhu, Zhi
    Song, Jia
    Yang, Chaoyong
    SMALL METHODS, 2022, 6 (07)
  • [34] A quasi-static orthogonal method for solving spatial-time neutron kinetics equations in non-steady processes
    Li, Mingrui
    Chen, Wenzhen
    Hao, Jianli
    PROGRESS IN NUCLEAR ENERGY, 2020, 120
  • [35] Dynamical phase transitions in totally asymmetric simple exclusion processes with two types of particles under periodically driven boundary conditions
    Yesil, Ayse Ferhan
    Yalabik, M. Cemal
    PHYSICAL REVIEW E, 2016, 93 (01)
  • [36] COUPLING MULTIPHASE PORE-SCALE MODELS TO ACCOUNT FOR BOUNDARY CONDITIONS: APPLICATION TO 2D QUASI-STATIC PORE NETWORKS
    Petersen, Robert Thomas
    Balhoff, Matthew Thomas
    Bryant, Steven
    JOURNAL OF MULTISCALE MODELLING, 2011, 3 (03) : 109 - 131
  • [37] Correction to: Seismic response of a small-scale masonry groin vault: experimental investigation by performing quasi-static and shake table tests
    N. Bianchini
    N. Mendes
    C. Calderini
    P. X. Candeias
    M. Rossi
    P. B. Lourenço
    Bulletin of Earthquake Engineering, 2023, 21 : 663 - 663
  • [38] Correction to: Seismic response of a small-scale masonry groin vault: experimental investigation by performing quasi-static and shake table tests
    Bianchini, N.
    Mendes, N.
    Calderini, C.
    Candeias, P. X.
    Rossi, M.
    Lourenco, P. B.
    BULLETIN OF EARTHQUAKE ENGINEERING, 2023, 21 (01) : 663 - 663
  • [39] Real-time estimation and correction of quasi-static aberrations in ground-based high contrast imaging systems with high frame-rates
    Rodack, Alexander T.
    Males, Jared R.
    Guyon, Olivier
    Mazin, Benjamin A.
    Fitzgerald, Michael P.
    Mawet, Dimitri
    ADAPTIVE OPTICS SYSTEMS VI, 2018, 10703
1234