arXiv subjects

Rohn Chatterjee

Publications and source records attributed to Rohn Chatterjee.

2 recordsLinked to original sources

arXiv2026

Steady states in asymmetric exclusion processes with reactions: Fluctuations and non-mean field behaviour

We study an totally asymmetric simple exclusion process (TASEP) in an open geometry. We couple TASEP with simple reactions in the form of production (birth) and degradation (death) due to over crowding taking place in the bulk. We investigate the steady states, which are generically space-dependent. Phase coexistences are also possible for some choices of the model parameters. We study the system by mean-field theories (MFT) supplemented by extensive Monte-Carlo simulations (MCS). Intriguingly, unlike oridinary TASEP and other related models, configuration-dependent bulk reactions in a TASEP model can make nearest-neighbour correlations quantitatively important even in an open driven system where mean-field theory would ordinarily be expected to provide a useful description. We attribute this to the correlation effects ignored in MFT. We numerically quantify this correlation effect.

cond-mat.stat-mech↗

arXiv2024

Defect versus defect: stationary states of single file marching in periodic landscapes with road blocks

Totally asymmetric simple exclusion process (TASEP) sets the paradigm for one-dimensional driven single file motion. We study a periodic TASEP with two ``road blocks'' or defects of different kinds, one point and another extended, across which particle flows are inhibited. We show how the interplay between particle number conservation and competition between the defects lead to inhomogeneous steady states with localised domain walls (LDW). The LDW locations jump discontinuously, indicating a discontinuous transition between these LDW states, as the system passes from being controlled by one defect to the other. When the defects are ``competing'', instead of an LDW a pair of delocalised domain walls appear, none of which can penetrate the extended defect. A minimum current principle can be used to identify the dominant defect that controls the domain wall formations. Our results should be important in diverse systems, ranging from protein synthesis by ribosomes in biological cells to urban traffic networks.

cond-mat.stat-mech↗