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20132026
most citedAnomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems

186 citations

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5 papers · 1 filter

cond-mat.stat-mech2026

Tuning ergodicity breaking: Anomalous diffusion under asymptotic power-law forcing

Raul V. B. Morás, M. Florencia Carusela, Luciano C. Lapas

In non-Markovian systems, distinct dynamical phases arise from the competition between internal memory and external forcing, encompassing thermalization, persistent ergodicity brea…

cond-mat.stat-mech2023★ 9 cited

The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond

Márcio Sampaio Gomes-Filho, Luciano Calheiros Lapas, Ewa Gudowska-Nowak +1

In this review, we scrutinize historical and modern results on the linear response of dynamical systems to external perturbations with a particular emphasis on the celebrated relat…

cond-mat.stat-mech2019★ 186 cited

Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems

Fernando A. Oliveira, Rogelma M. S. Ferreira, Luciano C. Lapas +1

In this article we review classical and recent results in anomalous diffusion and provide mechanisms useful for the study of the fundamentals of certain processes, mainly in conden…

cond-mat.stat-mech2015★ 7 cited

Domain size heterogeneity in the Ising model: geometrical and thermal transitions

André R. de la Rocha, Paulo Murilo C. de Oliveira, Jeferson J. Arenzon

A measure of cluster size heterogeneity (), introduced by Lee et al [Phys. Rev. E {\bf 84}, 020101 (2011)] in the context of explosive percolation, was recently applied to rando…

cond-mat.stat-mech2014★ 10 cited

Anomalous law of cooling

Luciano C. Lapas, Rogelma M. S. Ferreira, Fernando A. Oliveira +1

We analyze the temperature relaxation phenomena of systems in contact with a thermal reservoir that undergo a non-Markovian diffusion process. From a generalized Langevin equation,…