1.

Record Nr.

UNINA9910639877403321

Autore

Evangelista L. R.

Titolo

An Introduction to Anomalous Diffusion and Relaxation / / by Luiz Roberto Evangelista, Ervin Kaminski Lenzi

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023

ISBN

3-031-18150-6

Edizione

[1st ed. 2023.]

Descrizione fisica

1 online resource (411 pages)

Collana

PoliTO Springer Series, , 2509-7024

Disciplina

530.41

530.415

Soggetti

Mathematical physics

Stochastic processes

Condensed matter

Statistical mechanics

Mathematical Physics

Stochastic Processes

Condensed Matter

Statistical Mechanics

Mathematical Methods in Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Preface -- Integral Transforms and Special Functions -- Concepts in Diffusion and Stochastic Processes -- Random Walks -- Elements of Fractional Calculus -- Fractional Anomalous Diffusion -- Adsorption Phenomena and Anomalous Behavior -- Reaction-Diffusion Problems -- Relaxation under Geometric Constraints I: Classical Processes -- Relaxation under Geometric Constraints II: Quantum Processes -- Index.

Sommario/riassunto

This book provides a contemporary treatment of the problems related to anomalous diffusion and anomalous relaxation. It collects and promotes unprecedented applications dealing with diffusion problems and surface effects, adsorption-desorption phenomena, memory effects, reaction-diffusion equations, and relaxation in constrained structures of classical and quantum processes. The topics covered by



the book are of current interest and comprehensive range, including concepts in diffusion and stochastic physics, random walks, and elements of fractional calculus. They are accompanied by a detailed exposition of the mathematical techniques intended to serve the reader as a tool to handle modern boundary value problems. This self-contained text can be used as a reference source for graduates and researchers working in applied mathematics, physics of complex systems and fluids, condensed matter physics, statistical physics, chemistry, chemical and electrical engineering, biology, and many others.