2014/12/31 by Bijoy Daga, P. K. Mohanty · 6 citations
Materials Science · Mathematics · Physics and Astronomy · #Chemical physics #Combinatorics #Dimension (graph theory) #Material Dynamics and Properties #Materials science #Mathematical physics #Mathematics #One-dimensional space #Phase (matter) #Phase transition #Physics #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #Void (composites) #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2015/04/p04004
published in Journal of Statistical Mechanics Theory and Experiment 2015(4), P04004 (Institute of Physics) · 16 pages, 7 eps figures( major revision)
openalex publication_date 2015/04/21 · arxiv created 2015/05/19 · arxiv updated 2015/06/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.