Results 51 to 60 of about 17,177,934 (283)
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
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Continuous-time random walks and traveling fronts [PDF]
Physical Review E, 2002 We present a geometric approach to the problem of propagating fronts into an unstable state, valid for an arbitrary continuous-time random walk with a Fisher-Kolmogorov-Petrovski-Piskunov growth/reaction rate. We derive an integral Hamilton-Jacobi type equation for the action functional determining the position of reaction front and its speed.
Fedotov, Sergei; id_orcid 0000-0003-2722-4330 +1 more
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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
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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
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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
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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
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Directed continuous-time random walk with memory [PDF]
The European Physical Journal B, 2019 We propose a new Directed Continuous-Time Random Walk (CTRW) model with memory. As CTRW trajectory consists of spatial jumps preceded by waiting times, in Directed CTRW, we consider the case with only positive spatial jumps. Moreover, we consider the memory in the model as each spatial jump depends on the previous one.
Gubiec, Tomasz, Klamut, Jarosław
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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
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Angular asymptotics for multi-dimensional non-homogeneous random walks with asymptotically zero drift [PDF]
, 2010 We study the rst exit time from an arbitrary cone with apex at the origin by a non-homogeneous random walk (Markov chain) on Zd (d 2) with mean drift that is asymptotically zero.
MacPhee, I.M. +2 more
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Structural and temporal heterogeneities on networks
Applied Network Science, 2019 A heterogeneous continuous time random walk is an analytical formalism for studying and modeling diffusion processes in heterogeneous structures on microscopic and macroscopic scales.
Liubov Tupikina, Denis S. Grebenkov
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