Einstein relation and linear response in one-dimensional Mott variable-range hopping

DOI10.1214/18-AIHP925zbMath1467.60087arXiv1708.09610MaRDI QIDQ2337832

Michele Salvi, Alessandra Faggionato, Nina Gantert

Publication date: 20 November 2019

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.09610

zbMATH Keywords

steady statesEinstein relationrandom walk in random environmentrandom conductance modellinear responseMott variable-range hoppingenvironment seen from the particle

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Regularity of biased 1D random walks in random environment, Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems, Scaling limit of sub-ballistic 1D random walk among biased conductances: \textit{a story of wells and walls}

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