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Dynamical continuous time random walk
The European Physical Journal B, 2015 We consider a continuous time random walk model in which each jump is considered to be dynamical process. Dissipative launch velocity and hopping time in each jump is the key factor in this model. Within the model, normal diffusion and anomalous diffusion is realized theoretically and numerically in the force free potential. Besides, external potential
Liu, Jian, Yang, B., Chen, X., Bao, J.
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Discrete versus continuous-time random walks
Journal of Statistical Physics, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maes, Dominique +1 more
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Continuous time random walks on networks
Physical Review EWe study continuous time random walks on a network. We find that the steady state of the random walk on a given node is independent of the nature of the distribution of waiting times ψ(τ) and depends only on the local neighborhood of the node. The relaxation toward the steady state is, however, dependent on ψ(τ).
Sarvesh K. Upadhyay, R. K. Singh
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Long-time tails in continuous-time random walks
Physical Review A, 1990We analyze the long-time behavior of ${\mathit{P}}_{0}$(t), the probability that a random walker is found at the origin at time t after its start. For continuous-time random walks with algebraic waiting-time distributions \ensuremath{\psi}(t)\ensuremath{\sim}${\mathit{t}}^{\mathrm{\ensuremath{-}}1\mathrm{\ensuremath{-}}\ensuremath{\gamma}}$ we find in ...
, Schnörer, , Blumen
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2021
The classical diffusion equation is widely used to describe transport phenomena observed in nature, where u denotes the concentration of a substance, \(\kappa \) is the diffusion coefficient, and (1.1) describes how the concentration evolves over time.
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The classical diffusion equation is widely used to describe transport phenomena observed in nature, where u denotes the concentration of a substance, \(\kappa \) is the diffusion coefficient, and (1.1) describes how the concentration evolves over time.
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Multienergetic continuous time random walk
Zeitschrift f�r Physik B Condensed Matter, 1984We have extended the CTRW theory of Montroll and Weiss including the effect of extra variables, like the energy. This MCTRW scheme can be written in a simple matrix notation, that simplifies its solution. As an example of their usefulness we have studied a two-energy-group neutron diffusion problem.
Manuel O. C�ceres, Horacio S. Wio
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1995
Abstract In Chapter 4, we obtained the governing equations of continuous-time random processes by taking a suitable joint limit Δ -→0 and τ -→0 of a lattice random walk, where Δ is the lattice spacing and τ the constant time between successive steps.
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Abstract In Chapter 4, we obtained the governing equations of continuous-time random processes by taking a suitable joint limit Δ -→0 and τ -→0 of a lattice random walk, where Δ is the lattice spacing and τ the constant time between successive steps.
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Continuous-time random walks on random media
Journal of Physics A: Mathematical and General, 1993A continuous-time random-walk method is introduced for applications to transport processes in random media. The method is efficient and is easily parallelizable. It can be used to calculate the diffusivity of homogeneous mixtures of many components, with applications to effective permeability and conductivity measurements.
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A dumbbell's random walk in continuous time
Journal of Physics A: Mathematical and General, 1994We study the continuous-time dynamics of a rigid dumbbell or, equivalently, of two random walkers coupled through a holonomic constraint. Random walkers under holonomic constraints provide a generic model for many physical systems, e.g. for polymers.
Alemany, P. A. +3 more
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On Linnik's continuous-time random walks
Journal of Physics A: Mathematical and General, 2000Summary: In many fields of applied physics, the phenomenology of the space-time phenomena to be understood (in general for prediction purposes) may be described in the following most simple way: events with random common positive amplitude occur randomly in time according to a continuous time random walk (CTRW) model; the prerequisite is therefore a ...
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