English

The Portevin-Le Chatelier effect in the Continuous Time Random Walk framework

Materials Science 2009-11-11 v1 Statistical Mechanics
Authors: A. Sarkar , P. Barat
View on arXiv ↗ PDF ↗ DOI ↗

Abstract

We present a continuous time random walk model for the Portevin-Le Chatelier (PLC) effect. From our result it is shown that the dynamics of the PLC band can be explained in terms of the Levy Walk.

Keywords

random walk theory

Cite

@article{arxiv.cond-mat/0612238,
  title  = {The Portevin-Le Chatelier effect in the Continuous Time Random Walk framework},
  author = {A. Sarkar and P. Barat},
  journal= {arXiv preprint arXiv:cond-mat/0612238},
  year   = {2009}
}

Related papers

View all related →
Statistical Mechanics · Physics
Continuous Time Random Walks in periodic systems: fluid limit and fractional differential equations on the circle
Ivan Calvo, B. A. Carreras, R. Sanchez, B. Ph. van Milligen
2009-11-13
Statistical Mechanics · Physics
Continuous time multidimensional Markovian description of Levy walks
Ihor Lubashevsky, Rudolf Friedrich, Andreas Heuer
2015-05-13
Statistical Mechanics · Physics
L\'{e}vy-walk-like Langevin dynamics affected by a time-dependent force
Yao Chen, Weihua Deng
2021-02-03
Probability · Mathematics
Continuous-time random walk between L\'evy-spaced targets in the real line
Alessandra Bianchi, Marco Lenci, Françoise Pène
2020-01-08
Probability · Mathematics
Random walks in a one-dimensional L\'evy random environment
Alessandra Bianchi, Giampaolo Cristadoro, Marco Lenci, Marilena Ligabò
2016-04-12
Materials Science · Physics
A dynamical approach to the spatiotemporal aspects of the Portevin-Le Chatelier effect: Chaos,turbulence and band propagation
G. Ananthakrishna, M. S. Bharathi
2009-11-10
Statistical Mechanics · Physics
Continuous Markovian model for Levy random walks with superdiffusive and superballistic regimes
Ihor Lubashevsky, Andreas Heuer, Rudolf Friedrich, Ramil Usmanov
2015-05-19
Statistical Mechanics · Physics
Scaling properties of field-induced superdiffusion in Continous Time Random Walks
R. Burioni, G. Gradenigo, A. Sarracino, A. Vezzani +1
2015-06-23
Statistical Mechanics · Physics
Conservative random walks in confining potentials
Bartłomiej Dybiec, Karol Capała, Aleksei Chechkin, Ralf Metzler
2019-03-27
Statistical Mechanics · Physics
L\'{e}vy walk dynamics in mixed potentials from the perspective of random walk theory
Tian Zhou, Pengbo Xu, Weihua Deng
2021-04-07
Statistical Mechanics · Physics
A Directed Continuous Time Random Walk Model with Jump Length Depending on Waiting Time
Long Shi, Zuguo Yu, Zhi Mao, Aiguo Xiao
2014-03-20
Statistical Mechanics · Physics
Truncated Levy Random Walks and Generalized Cauchy Processes
Ihor Lubashevsky
2015-05-27
Materials Science · Physics
Critical Dynamics of Burst Instabilities in the Portevin-Le Chatelier Effect
Gianfranco D'Anna, Franco Nori
2009-11-07
Probability · Mathematics
The random walk on the random connection model
Ercan Sönmez, Arnaud Rousselle
2022-09-30
Statistical Mechanics · Physics
Transport properties of L\'evy walks: an analysis in terms of multistate processes
Giampaolo Cristadoro, Thomas Gilbert, Marco Lenci, David P. Sanders
2014-12-02
Statistical Mechanics · Physics
Dynamics of a randomly kicked particle
Santanu Das, Anupam Kundu
2021-10-27
Statistical Mechanics · Physics
Langevin dynamics for L\'evy walk with memory
Yao Chen, Xudong Wang, Weihua Deng
2019-01-23
Statistical Mechanics · Physics
Continuous limits of Heterogeneous Continuous Time Random Walk model
Liubov Tupikina
2020-06-23
Probability · Mathematics
Correlated continuous time random walks and fractional Pearson diffusions
Nikolai N. Leonenko, Ivan Papić, Alla Sikorskii, Nenad Šuvak
2017-08-24
Statistical Mechanics · Physics
L\'{e}vy-walk-like Langevin dynamics
Xudong Wang, Yao Chen, Weihua Deng
2019-01-28
Probability · Mathematics
Non-perturbative approach to random walk in markovian environment
Dmitry Dolgopyat, Carlangelo Liverani
2008-12-17
Statistical Mechanics · Physics
Continuous Time Random Walk in a velocity field: Role of domain growth, Galilei-invariant advection-diffusion, and kinetics of particle mixing
F. Le Vot, E. Abad, R. Metzler, S. B. Yuste
2020-08-26
Statistical Mechanics · Physics
L\'evy walks
V. Zaburdaev, S. Denisov, J. Klafter
2015-06-12
Probability · Mathematics
Limits of random walks with distributionally robust transition probabilities
Daniel Bartl, Stephan Eckstein, Michael Kupper
2021-04-28
Probability · Mathematics
Discrete- and continuous-time random walks in 1D L\'evy random medium
Marco Lenci
2022-08-19
R2 v1 2026-07-22T11:40:49.209Z