Global Density Profle For Particle Non-Conserving One Dimensional Transport From Renormalization Group Flows.

Sutapa, Mukherji and Somendra, M. Bhattacharjee (2019) Global Density Profle For Particle Non-Conserving One Dimensional Transport From Renormalization Group Flows. Scientific Reports, 9. p. 5697.

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Abstract

The totally asymmetric simple exclusion process along with particle adsorption and evaporation kinetics is a model of boundary-induced nonequilibrium phase transition. In the continuum limit, the average particle density across the system is described by a singular diferential equation involving multiple scales which lead to the formation of boundary layers (BL) or shocks. A renormalization group analysis is developed here by using the location and the width of the BL as the renormalization parameters. It not only allows us to cure the large distance divergences in the perturbative solution for the BL but also generates, from the BL solution, an analytical form for the global density profle. The predicted scaling form is checked against numerical solutions for fnite systems.

Item Type:	Article
Uncontrolled Keywords:	nonequilibrium phase transition
Subjects:	500 Natural Sciences and Mathematics > 04 Chemistry and Allied Sciences > 08 Physical Chemistry
Divisions:	Protein Chemistry and Technology
Depositing User:	Food Sci. & Technol. Information Services
Date Deposited:	25 Nov 2020 11:03
Last Modified:	25 Nov 2020 11:03
URI:	http://ir.cftri.res.in/id/eprint/14645

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