Percolation, sliding, localization and relaxation in topologically closed circuits

Daniel Hurowitz, Doron Cohen

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Considering a random walk in a random environment in a topologically closed circuit, we explore the implications of the percolation and sliding transitions for its relaxation modes. A complementary question regarding the "delocalization" of eigenstates of non-hermitian Hamiltonians has been addressed by Hatano, Nelson, and followers. But we show that for a conservative stochastic process the implied spectral properties are dramatically different. In particular we determine the threshold for under-damped relaxation, and observe "complexity saturation" as the bias is increased.

Original languageEnglish
Article number22735
JournalScientific Reports
Volume6
DOIs
StatePublished - 10 Mar 2016

ASJC Scopus subject areas

  • General

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