dorsal/arxiv
View SchemaTransport Regimes in Random Walks in Random Environments
| Authors | Mihir Metkar, Neha Sah, Zoey Zhou |
|---|---|
| Categories | |
| ArXiv ID | 2601.06751vv1 |
| URL | https://arxiv.org/abs/2601.06751 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
Random walks in random environments (RWRE) model transport in quenched disorder, incorporating spatial heterogeneity, trapping, random drift, and random geometry. This paper summarizes discrete and continuous time formulations, identifies principal transport regimes through quantitative observables (velocity, diffusivity, mean-square displacement, first-passage, large deviations, aging), and reviews core methods in one dimension (potential/valley mechanisms) and in higher dimensions (environment-seen-from-the-particle, correctors/homogenization, regeneration and ballisticity criteria).
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"abstract": "Random walks in random environments (RWRE) model transport in quenched disorder, incorporating spatial heterogeneity, trapping, random drift, and random geometry. This paper summarizes discrete and continuous time formulations, identifies principal transport regimes through quantitative observables (velocity, diffusivity, mean-square displacement, first-passage, large deviations, aging), and reviews core methods in one dimension (potential/valley mechanisms) and in higher dimensions (environment-seen-from-the-particle, correctors/homogenization, regeneration and ballisticity criteria).",
"arxiv_id": "2601.06751",
"authors": [
"Mihir Metkar",
"Neha Sah",
"Zoey Zhou"
],
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"cond-mat.stat-mech"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Transport Regimes in Random Walks in Random Environments",
"url": "https://arxiv.org/abs/2601.06751",
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