2020/02/14 by Bipasha Pal, Arvind Kumar Gupta · 5 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cluster (spacecraft) #Energy (signal processing) #Field (mathematics) #Monte Carlo method #Phase (matter) #Phase diagram #Shock (circulatory) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/1751-8121/abcf0e
published in Journal of Physics A Mathematical and Theoretical 54(2), 025005 (Institute of Physics)
arxiv created 2020/02/14 · openalex created_date 2020/02/24 · openalex publication_date 2020/11/30 · arxiv updated 2021/02/03 · openalex updated_date 2026/08/05
Abstract We study the non-equilibrium steady states in a closed system consisting of interacting particles obeying exclusion principle with quenched hopping rate. Cluster mean field approach is utilized to theoretically analyze the system dynamics in terms of phase diagram, density profiles, current, etc, with respect to interaction energy E . It turns out that on increasing the interaction energy beyond a critical value, E c , shock region shows non-monotonic behavior and contracts until another critical value <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi>E</mml:mi> </mml:mrow> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="normal">c</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>1</mml:mn> </mml:mrow> </mml:msub> </mml:mrow> </mml:msub> </mml:math> is attained; a further increase leads to its expansion. Moreover, the phase diagram of an interacting system with specific set of parameters has a good agreement with its non-interacting analogue. For interaction energy below E c , a new shock phase displaying features different from non-interacting version is observed leading to two distinct shock phases. We have also performed Monte Carlo simulations extensively to validate our theoretical findings.