Relaxation rate of a stochastic spreading process in a closed ring

Daniel Hurowitz, Doron Cohen

Research output: Contribution to journalArticlepeer-review


The relaxation process of a diffusive ring becomes underdamped if the bias (so-called affinity) exceeds a critical threshold value, also known as the delocalization transition. This is related to the spectral properties of the pertinent stochastic kernel. We find the dependence of the relaxation rate on the affinity and on the length of the ring. Additionally we study the implications of introducing a weak link into the circuit and illuminate some subtleties that arise while taking the continuum limit of the discrete model.

Original languageAmerican English
Article number062143
JournalPhysical Review E
Issue number6
StatePublished - 29 Jun 2016

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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