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Updated: Oct 21, 2025
11:51
Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
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Inertial Lévy flights in bounded domains.
Karol Capała1, Bartłomiej Dybiec1
1Institute of Theoretical Physics, and Mark Kac Center for Complex Systems Research, Jagiellonian University, ul. St. Łojasiewicza 11, 30-348 Kraków, Poland.
Chaos (Woodbury, N.Y.)
|September 2, 2021
Summary
This study analyzes how inertial particles escape bounded domains using Lévy noise. The mean first passage time properties resemble those of integrated Wiener processes.
Area of Science:
- Statistical Physics
- Stochastic Processes Theory
Background:
- Escape from a domain is a fundamental problem in physics.
- Inertial particles in bounded domains with absorbing boundaries are studied.
Purpose of the Study:
- To explore the escape properties of inertial particles driven by Lévy noise from a bounded domain.
- To analyze the mean first passage time, escape velocity, and energy.
Main Methods:
- Analysis of escape kinetics for an integrated Ornstein-Uhlenbeck process driven by Lévy noise.
- Examination of mean first passage time, escape velocity, and energy.
Main Results:
- Escape kinetics are characterized by finite mean first passage time due to absorbing boundaries.
- Mean first passage time properties are closely related to integrated Lévy motions and integrated Wiener processes.
Conclusions:
- The study provides insights into escape dynamics influenced by Lévy noise.
- Findings relate to fundamental problems in statistical physics and stochastic processes.
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