Phase separation transition of reconstituting k-mers in one dimension. (21st April 2015)

• Record Type: Journal Article
• Authors: Daga, Bijoy; Mohanty, P K
• Is Part Of: Journal of statistical mechanics. (2015:Apr.)
• Publication Date: 2015-04-21
• Subjects: 1 -- 4 -- 9; 1/120 -- 4/050 -- 9/300 -- 4/250; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/04/P04004
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We introduce a driven diffusive model involving poly-dispersed hard k -mers on a one dimensional periodic ring and investigate the possibility of phase separation transition in such systems. The dynamics consists of a size dependent directional drive and the reconstitution of k -mers. The reconstitution dynamics constrained to occur among consecutive immobile k -mers allows them to change their size while keeping the total number of k -mers and the volume occupied by them conserved. We show by mapping the model to a two species misanthrope process that its steady state has a factorized form. Along with a fluid phase, the interplay of drift and reconstitution can generate a macroscopic k -mer, or a slow-moving k -mer with a macroscopic void in front of it, or both. We demonstrate this phenomenon for some specific choice of drift and reconstitution rates and provide exact phase boundaries which separate the four phases.