Statistical Mechanics & Random Walks de Abram Skogseid

Statistical Mechanics & Random Walks: Principles, Processes & Applications

Abram Skogseid

Vicente Fasano

In this book, the authors gather and present topical research in the study of statistical mechanics and random walk principles and applications. Topics discussed in this compilation include the application of stochastic approaches to modelling suspension flow in porous media; subordinated Gaussian processes; random walk models in biophysical science; non-equilibrium dynamics and diffusion processes; global random walk algorithm for diffusion processes and application of random walks for the analysis of graphs, musical composition and language phylogeny.

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Cuprins

Application of Stochastic Approaches to Modelling Suspension Flow in Porous Media; Unusual Brownian Motion; Anomalous Diffusion of Particles in Edge Plasma Turbulence in Tokamaks & Random & Lévy Walk Distributions; Subordinated Gaussian Processes, the Log-Return Principles; Random Walk Models in Biophysical Sciences: Particle Transport in the Human Respiratory Tract; Nonlinear Generalization of Fluctuation-Dissipation Theorem for Levy Flights Diffusion & its Scaling; Scaling & Correlation of Time Recurrence in Fracture Systems; On an Integral Related to Two-Dimensional Random Walk; Non-Equilibrium Dynamics & Diffusion Processes; Hierarchies of Quantum Evolution Equations & Dynamics of Many Particle Correlations; Recent Results on Branching Random Walks; Global Random Walk Algorithm for Diffusion Processes; Asymptotics for Random Walks in the Quarter Plane with Queueing Applications; Random Walk in a Finite Directed Graph Subject to a Synchronizing Road Coloring; Solving Partial Differential Equations Via Random Walks: A Review; Applications of Random Walks for the Analysis of Graphs, Musical Compositions, & Language Phylogeny; The Stock Size & the Predicitability of Returns; A Random Walk Model Related to the Clustering of Membrane Receptors; The Random Flight & the Persistent Random Walk; Transport on Lattices with Random Traps: Diffusion, Relaxation & Fluctuations.