Title: Understanding random-walk dynamical phase coexistence through waiting times

Journal Article · · Physical Review Research
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We study the appearance of first-order dynamical phase transitions (DPTs) as “intermittent” coexisting phases in the fluctuations of random walks on graphs. We show that the diverging timescale leading to critical behavior is the waiting time to jump from one phase to another. This timescale is crucial for observing the system's relaxation to stationarity and demonstrate ergodicity of the system at criticality. We illustrate these results through three analytical examples which provide insights into random walks exploring random graphs. Published by the American Physical Society 2024

Sponsoring Organization:
USDOE
OSTI ID:
2282180
Journal Information:
Physical Review Research, Journal Name: Physical Review Research Journal Issue: 1 Vol. 6; ISSN PPRHAI; ISSN 2643-1564
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

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