English

Microcanonical analysis of a nonequilibrium phase transition

Statistical Mechanics 2016-06-08 v3

Abstract

Microcanonical analysis is a powerful method for studying phase transitions of finite-size systems. This method has been used so far only for studying phase transitions of equilibrium systems, which can be described by microcanonical entropy. I show that it is possible to perform microcanonical analysis of a nonequilibrium phase transition, by generalizing the concept of microcanonical entropy. One-dimensional asymmetric diffusion process is studied as an example where such a generalized entropy can be explicitly found, and the microcanonical method is used to analyze a nonequilibrium phase transition of a finite-size system.

Keywords

Cite

@article{arxiv.1506.07654,
  title  = {Microcanonical analysis of a nonequilibrium phase transition},
  author = {Julian Lee},
  journal= {arXiv preprint arXiv:1506.07654},
  year   = {2016}
}

Comments

5 pages, 4 figures. More detailed discussion on phase diagram for finite size. A major revision