Diffusion in a Comb-Structured Media: Non-Local Terms and Stochastic Resetting

We examine the dynamics of a system influenced by a backbone structure, incorporating linear non-local terms that account for both irreversible and reversible processes, such as absorption and adsorption–desorption. Additionally, we introduce stochastic resetting to analyze its effects on the system’s behavior from both analytical and numerical perspectives. Our findings reveal a rich spectrum of dynamics, emphasizing connections to anomalous diffusion and providing new insights into transport phenomena in complex environments.

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Publication Details

Journal
Quantum Reports
Published
2025-04-14
DOI
https://doi.org/10.3390/quantum7020020
Primary Topic
Diffusion and Search Dynamics
Type
article
Field-Weighted Citation Impact
0.00

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article

Diffusion in a Comb-Structured Media: Non-Local Terms and Stochastic Resetting

L. R. da Silva, Rafael S. Zola, Haroldo V. Ribeiro, Ervin Kaminski Lenzi et al.
Quantum Reports
Diffusion and Search Dynamics
article

Diffusion in a Comb-Structured Media: Non-Local Terms and Stochastic Resetting

L. R. da Silva, Rafael S. Zola, Haroldo V. Ribeiro, Ervin Kaminski Lenzi, Derik W. Gryczak
article en

Abstract

We examine the dynamics of a system influenced by a backbone structure, incorporating linear non-local terms that account for both irreversible and reversible processes, such as absorption and adsorption–desorption. Additionally, we introduce stochastic resetting to analyze its effects on the system’s behavior from both analytical and numerical perspectives. Our findings reveal a rich spectrum of dynamics, emphasizing connections to anomalous diffusion and providing new insights into transport phenomena in complex environments.

Quantum ReportsVol. 7(2)
Universidade Estadual de Maringá (BR), Universidade Tecnológica Federal do Paraná (BR), Universidade Federal do Rio Grande do Norte (BR), Centro Brasileiro de Pesquisas Físicas (BR), Universidade Estadual de Ponta Grossa (BR)
Fundação de Amparo à Pesquisa do Estado de São Paulo, Conselho Nacional de Desenvolvimento Científico e Tecnológico
Openalex Percentile: Top 93%
Diffusion and Search Dynamics
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Diffusion in a Comb-Structured Media: Non-Local Terms and Stochastic Resetting — L. R. da Silva, Rafael S. Zola, et al. · Quantum Reports (2025) | TGRS Research Map | TGRS