title: Exponential decay of spatial correlation in driven diffusive system: A universal feature of macroscopic homogeneous state.
abstract: Driven diffusive systems have been a paradigm for modelling many physical, chemical, and biological transport processes. In the systems, spatial correlation plays an important role in the emergence of a variety of nonequilibrium phenomena and exhibits rich features such as pronounced oscillations. However, the lack of analytical results of spatial correlation precludes us from fully understanding the effect of spatial correlation on the dynamics of the system. Here we offer precise analytical predictions of the spatial correlation in a typical driven diffusive system, namely facilitated asymmetric exclusion process. We find theoretically that the correlation between two sites decays exponentially as their distance increases, which is in good agreement with numerical simulations. Furthermore, we find the exponential decay is a universal property of macroscopic homogeneous state in a broad class of 1D driven diffusive systems. Our findings deepen the understanding of many nonequilibrium phenomena resulting from spatial correlation in driven diffusive systems.
authors.affiliation: School of Mathematics and Computational Science, Anqing Teachers College, Anqing 246133, P. R. China.|School of Systems Science, Beijing Normal University, Beijing, 100875, P.R. China.
authors.forename: Qing-Yi
authors.initials: QY
authors.lastname: Hao
authors.affiliation: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P.R. China.|School of Engineering Science, University of Science and Technology of China, Hefei 230026, P. R. China.
authors.forename: Rui
authors.initials: R
authors.lastname: Jiang
authors.affiliation: School of Engineering Science, University of Science and Technology of China, Hefei 230026, P. R. China.
authors.forename: Mao-Bin
authors.initials: MB
authors.lastname: Hu
authors.affiliation: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P.R. China.
authors.forename: Bin
authors.initials: B
authors.lastname: Jia
authors.affiliation: School of Systems Science, Beijing Normal University, Beijing, 100875, P.R. China.|Business School, University of Shanghai for Science and Technology, Shanghai 200093, China.
authors.forename: Wen-Xu
authors.initials: WX
authors.lastname: Wang