English

Condensation transition in a model with attractive particles and non-local hops

Statistical Mechanics 2015-05-14 v1

Abstract

We study a one dimensional nonequilibrium lattice model with competing features of particle attraction and non-local hops. The system is similar to a zero range process (ZRP) with attractive particles but the particles can make both local and non-local hops. The length of the non-local hop is dependent on the occupancy of the chosen site and its probability is given by the parameter pp. Our numerical results show that the system undergoes a phase transition from a condensate phase to a homogeneous density phase as pp is increased beyond a critical value pcp_c. A mean-field approximation does not predict a phase transition and describes only the condensate phase. We provide heuristic arguments for understanding the numerical results.

Keywords

Cite

@article{arxiv.0910.2165,
  title  = {Condensation transition in a model with attractive particles and non-local hops},
  author = {Apoorva Nagar},
  journal= {arXiv preprint arXiv:0910.2165},
  year   = {2015}
}

Comments

11 Pages, 6 Figures. Published in Journal of Statistical Mechanics: Theory and Experiment