English

Trap behaviors for Brownian motions

Probability 2026-04-02 v1 Analysis of PDEs
Authors: Raffaela Capitanelli , Mirko D'Ovidio
View on arXiv ↗ PDF ↗

Abstract

This paper investigates the relationship between the geometric properties of a domain and the diffusion dynamics of Brownian motion, with a specific focus on the phenomenon of "trapping" in terms of the behavior of stochastic processes.

Keywords

Brownian motion trapping domain geometry stochastic processes diffusion dynamics

Cite

@article{arxiv.2604.00474,
  title  = {Trap behaviors for Brownian motions},
  author = {Raffaela Capitanelli and Mirko D'Ovidio},
  journal= {arXiv preprint arXiv:2604.00474},
  year   = {2026}
}

Related papers

View all related →
Statistical Mechanics · Physics
Anomalous diffusion, non-Gaussianity, and nonergodicity for subordinated fractional Brownian motion with a drift
Yingjie Liang, Wei Wang, Ralf Metzler
2023-08-31
Soft Condensed Matter · Physics
Brownian motion near a liquid-like membrane
Thomas Bickel
2009-11-11
Statistical Mechanics · Physics
Steady State of an Active Brownian Particle in Two-Dimensional Harmonic Trap
Kanaya Malakar, Arghya Das, Anupam Kundu, K. Vijay Kumar +1
2020-03-04
Optics · Physics
Simultaneous active and diffusive behaviour of asymmetric microclusters in a photophoretic trap
Anita Pahi, Kirty Ranjan Sahoo, Biswajit Das, Shuvojit Paul +1
2025-04-01
Probability · Mathematics
Partially Reflected Brownian Motion: A Stochastic Approach to Transport Phenomena
Denis S. Grebenkov
2007-05-23
Probability · Mathematics
Trapping planar Brownian motion in a non circular trap
Jeffrey Schenker
2018-08-03
Statistical Mechanics · Physics
Trapped by the drift
Piotr Kubala, Michał Cieśla, Bartłomiej Dybiec
2021-10-26
Statistical Mechanics · Physics
Two-dimensional Brownian motion with dependent components: turning angle analysis
Michał Balcerek, Adrian Pacheco-Pozo, Agnieszka Wyłomanska, Krzysztof Burnecki +1
2025-03-10
Probability · Mathematics
Sticky Brownian motions on star graphs
Stefano Bonaccorsi, Mirko D'Ovidio
2023-11-14
Plasma Physics · Physics
Trapping, anomalous transport and quasi-coherent structures in magnetically confined plasmas
Madalina Vlad, Florin Spineanu
2015-05-13
Statistical Mechanics · Physics
Fractional Brownian motion in a finite interval: correlations effect depletion or accretion zones of particles near boundaries
T. Guggenberger, G. Pagnini, T. Vojta, R. Metzler
2019-03-22
Statistical Mechanics · Physics
Extreme fluctuations of active Brownian motion
Patrick Pietzonka, Kevin Kleinbeck, Udo Seifert
2016-05-04
Probability · Mathematics
Randomly trapped random walks
Gérard Ben Arous, Manuel Cabezas, Jiří Černý, Roman Royfman
2015-10-30
Quantum Physics · Physics
A Dynamical Theory of Markovian Diffusion
Mark Davidson
2007-05-23
Probability · Mathematics
Intermittency of geometric Brownian motion on $ \textbf{SL}(n) $
Sefika Kuzgun, Felix Otto, Christian Wagner
2026-03-20
Statistical Mechanics · Physics
Controlling diffusive transport in confined geometries
P. S. Burada, G. Schmid, Y. Li, P. Hanggi
2012-01-06
Disordered Systems and Neural Networks · Physics
Functionals of the Brownian motion, localization and metric graphs
Alain Comtet, Jean Desbois, Christophe Texier
2007-05-23
Statistical Mechanics · Physics
Anomalous diffusion in stochastic systems with nonhomogeneously distributed traps
Tomasz Srokowski
2015-06-11
Statistical Mechanics · Physics
Trapping Dynamics with Gated Traps: Stochastic Resonance-Like Phenomenon
Alejandro D. Sanchez, Jorge A. Revelli, Horacio S. Wio
2009-10-31
Statistical Mechanics · Physics
Stochastic thermodynamics of a probe in a fluctuating correlated field
Davide Venturelli, Sarah A. M. Loos, Benjamin Walter, Édgar Roldán +1
2024-05-02
Statistical Mechanics · Physics
Sweetest taboo processes
Alain Mazzolo
2018-08-15
Soft Condensed Matter · Physics
Brownian motion near an elastic cell membrane: A theoretical study
Abdallah Daddi-Moussa-Ider, Stephan Gekle
2022-10-28
Fluid Dynamics · Physics
Dynamics of a trapped Brownian particle in shear flows
Lukas Holzer, Jochen Bammert, Roland Rzehak, Walter Zimmermann
2010-04-22
Statistical Mechanics · Physics
Fractional Brownian motion and generalized Langevin equation motion in confined geometries
Jae-Hyung Jeon, Ralf Metzler
2016-09-08
Physics Education · Physics
Computational modeling of diffusive dynamics in a bouncer system with an irregular surface
Luiz Antonio Barreiro
2025-09-15