Abstract
We discuss a non-equilibrium statistical system on a graph or network. Particles are injected, interact with each other, and traverse and leave the graph in a stochastic manner. We show that under the assumption of constancy of a subset of parameters, the system demonstrates the universality of the statistics of the particle currents. In systems connected to a heat bath, this universality leads to fluctuation relations that forbid distinguishing stochastic currents in a strongly driven regime from the currents in thermodynamic equilibrium. We apply this universality to enabling examples from mesoscopic electronics and biochemistry.
| Original language | English (US) |
|---|---|
| Article number | P09006 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2011 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2011 |
| Externally published | Yes |
Keywords
- current fluctuations
- stochastic particle dynamics (theory)
- symmetries of integrable models
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty