Results 41 to 50 of about 347,242 (278)
Limiting stochastic processes of shift-periodic dynamical systems [PDF]
Royal Society Open Science, 2019 A shift-periodic map is a one-dimensional map from the real line to itself which is periodic up to a linear translation and allowed to have singularities.
Julia Stadlmann, Radek Erban
doaj +1 more source
Cluster continuous time random walks [PDF]
Studia Mathematica, 2011 In a continuous time random walk (CTRW), a random waiting time pre- cedes each random jump. The CTRW model is useful in physics, to model diusing par- ticles. Its scaling limit is a time-changed process, whose densities solve an anomalous diusion equation.
Agnieszka Jurlewicz +2 more
openaire +1 more source
Acta Scientiarum: Technology, 2012 We investigate how it is possible to obtain different diffusive regimes from the Continuous Time Random Walk (CTRW) approach performing suitable changes for the waiting time and jumping distributions in order to get two or more regimes for the same ...
Haroldo Valetin Ribeiro +4 more
doaj +1 more source
Physical Review X, 2020 A lattice random walk is a mathematical representation of movement through random steps on a lattice at discrete times. It is commonly referred to as Pólya’s walk when the steps occur in either of the nearest-neighbor sites.
Luca Giuggioli
doaj +1 more source
Reaction rate in an evanescent random walkers system [PDF]
Papers in Physics, 2015 Diffusion mediated reaction models are particularly ubiquitous in the description of physical, chemical or biological processes. The random walk schema is a useful tool for formulating these models.
Miguel A. Ré, Natalia C. Bustos
doaj +1 more source
Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions
Entropy, 2021 We address the problem of telegraphic transport in several dimensions. We review the derivation of two and three dimensional telegrapher’s equations—as well as their fractional generalizations—from microscopic random walk models for transport (normal and
Jaume Masoliver
doaj +1 more source
The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores
Geofluids, 2018 Anomalous dispersion of solute in porous media can be explained by the power-law distribution of waiting time of solute particles. In this paper, we simulate the diffusion of nonreactive tracer in dead-end pores to explore the waiting time distributions.
Yusong Hou, Jianguo Jiang, J. Wu
doaj +1 more source
Symmetric exclusion as a random environment: hydrodynamic limits [PDF]
, 2014 We consider a one-dimensional continuous time random walk with transition rates depending on an underlying autonomous simple symmetric exclusion process starting out of equilibrium.
Avena, Luca +3 more
core +3 more sources
Correlated continuous time random walks [PDF]
Statistics & Probability Letters, 2009 Continuous time random walks impose a random waiting time before each particle jump. Scaling limits of heavy tailed continuous time random walks are governed by fractional evolution equations. Space-fractional derivatives describe heavy tailed jumps, and the time-fractional version codes heavy tailed waiting times.
Mark M. Meerschaert +2 more
openaire +2 more sources
Generalized Diffusion Equation Associated with a Power-Law Correlated Continuous Time Random Walk
Advances in Mathematical Physics, 2019 In this work, a generalization of continuous time random walk is considered, where the waiting times among the subsequent jumps are power-law correlated with kernel function M(t)=tρ(ρ>-1).
Long Shi
doaj +1 more source