Open Conference Systems, StatPhys 27 Main Conference

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Out-of-equilibrium bidirectional transport processes with constrained entrances competing for limited resources
Atul Kumar Verma, Arvind Kumar Gupta

##manager.scheduler.building##: Edificio Santa Maria
##manager.scheduler.room##: Auditorio San Agustin
Date: 2019-07-08 11:45 AM – 03:30 PM
Last modified: 2019-06-15

Abstract


Many natural systems exhibit complex behavior under stationary state when either driven by some external field or self driven. Such driven diffusive systems reveal very rich nonequilibrium phenomena in physics, chemistry and biology. In order to analyze the collective properties of these driven stochastic transport problems, totally asymmetrically simple exclusion process (TASEP) model is found to be a paradigmatic model to study such problems in the last decade. TASEP is comprised of particles performing biased hopping with a uniform rate in a preferred direction along a 1D lattice. The particles obey certain preassigned rules under hard-core exclusion principle, due to which a lattice site cannot have more than one particle.

In this presentation, I will begin with some beautiful theoretical results in single and two channel exclusion process followed by results on systems coupled at boundaries only which is also called constrained entrances. Surprisingly coupling at boundary produces symmetry breaking phenomenon which is yet to understand completely. Additionally, to mimic some stochastic transport problems more realistically, we couple two channel system with a reservoir with finite resources. To examine the symmetry breaking phenomena along with collective system dynamics, we derive various phase diagrams and density profiles using mean-field theory for various parameters. The study reveals non-trivial effect of limited resources on the system dynamics. We found that finite resources initiate the symmetry breaking even with very less number of particles and produces a new asymmetric phase. Monte-Carlo simulations are carried out for verifying our theoretical findings, which are in good agreement with theoretical findings.