Timelike Boundary Sine-Gordon Theory and Two-Component Plasma
Abstract
It has long been known that there is a relation between boundary sine-Gordon theory and thermodynamics of charge neutral two-component Coulomb plasma on a unit circle. On the other hand, recently it was found that open string worldsheet description of brane decay can be related to a sequence of points of thermodynamic equilibrium of one-component plasma. Here we consider a different decay process which is specifically described by the timelike boundary sine-Gordon theory. We find time evolution to be mapped to a one-dimensional curve in the space of points of thermal equilibrium of a non-neutral two-component Coulomb plasma. We compute the free energy of the system and find that along the curve it is monotonously decreasing, defining a thermodynamic arrow of time.
Cite
@article{arxiv.0709.1318,
title = {Timelike Boundary Sine-Gordon Theory and Two-Component Plasma},
author = {Niko Jokela and Esko Keski-Vakkuri and Jaydeep Majumder},
journal= {arXiv preprint arXiv:0709.1318},
year = {2008}
}
Comments
11 pages, v2: reference added