PMID- 31574680
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20191002
LR  - 20191007
IS  - 2470-0053 (Electronic)
IS  - 2470-0045 (Linking)
VI  - 100
IP  - 2-1
DP  - 2019 Aug
TI  - Dynamical phase behavior of the single- and multi-lane asymmetric simple 
      exclusion process via matrix product states.
PG  - 022101
LID - 10.1103/PhysRevE.100.022101 [doi]
AB  - The open asymmetric simple exclusion process (ASEP) has emerged as a paradigmatic 
      model of nonequilibrium behavior, in part due to its complex dynamical behavior 
      and wide physical applicability as a model of driven diffusion. We compare the 
      dynamical phase behavior of the one-dimensional (1D) ASEP and the multi-lane 
      ASEP, a previously unstudied extension of the 1D model that may be thought of as 
      a finite-width strip of the fully two-dimensional (2D) system. Our 
      characterization employs large deviation theory (LDT), matrix product states 
      (MPS), and the density matrix renormalization group (DMRG) algorithm, to compute 
      the current cumulant generating function and its derivatives, which serve as 
      dynamical order parameters. We use this measure to show that when particles 
      cannot exit or enter the lattice vertically, the phase behavior of the multi-lane 
      ASEP mimics that of its 1D counterpart, exhibiting the macroscopic and 
      microscopic signatures of the maximal current, shock, and 
      high-density-low-density coexistence phases. Conversely, when particles are 
      allowed to freely enter and exit the lattice, no such transition is observed. 
      This contrast emphasizes the complex interplay between latitudinal and 
      longitudinal hopping rates and the effect of current biasing. Our results support 
      the potential of tensor networks as a framework to understand classical 
      nonequilibrium statistical mechanics.
FAU - Helms, Phillip
AU  - Helms P
AD  - Division of Chemistry and Chemical Engineering, California Institute of 
      Technology, Pasadena, California 91125, USA.
FAU - Ray, Ushnish
AU  - Ray U
AD  - Division of Chemistry and Chemical Engineering, California Institute of 
      Technology, Pasadena, California 91125, USA.
FAU - Chan, Garnet Kin-Lic
AU  - Chan GK
AD  - Division of Chemistry and Chemical Engineering, California Institute of 
      Technology, Pasadena, California 91125, USA.
LA  - eng
PT  - Journal Article
PL  - United States
TA  - Phys Rev E
JT  - Physical review. E
JID - 101676019
SB  - IM
EDAT- 2019/10/03 06:00
MHDA- 2019/10/03 06:01
CRDT- 2019/10/03 06:00
PHST- 2019/04/17 00:00 [received]
PHST- 2019/10/03 06:00 [entrez]
PHST- 2019/10/03 06:00 [pubmed]
PHST- 2019/10/03 06:01 [medline]
AID - 10.1103/PhysRevE.100.022101 [doi]
PST - ppublish
SO  - Phys Rev E. 2019 Aug;100(2-1):022101. doi: 10.1103/PhysRevE.100.022101.