Stochastic Dynamics and Irreversibility (eBook)

Tânia Tomé, Mário J. Oliveira (Autoren)

eBook Download: PDF

2014 | 2015
XII, 394 Seiten
Springer International Publishing (Verlag)
978-3-319-11770-6 (ISBN)

Infos

This textbook presents an exposition of stochastic dynamics and irreversibility. It comprises the principles of probability theory and the stochastic dynamics in continuous spaces, described by Langevin and Fokker-Planck equations, and in discrete spaces, described by Markov chains and master equations. Special concern is given to the study of irreversibility, both in systems that evolve to equilibrium and in nonequilibrium stationary states. Attention is also given to the study of models displaying phase transitions and critical phenomena both in thermodynamic equilibrium and out of equilibrium.These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such as the contact process and those used in population dynamic and spreading of epidemic, probabilistic cellular automata, reaction-diffusion processes, random sequential adsorption and dynamic percolation. A stochastic approach to chemical reaction is also presented.The textbook is intended for students of physics and chemistry and for those interested in stochastic dynamics.It provides, by means of examples and problems, a comprehensive and detailed explanation of the theory and its applications.

Autor

Tânia Tomé and Mário J. de Oliveira, Universidade de Sao Paulo, Brazil

Inhalt

Random Variables.- Sequence of Independent Variables.- Langevin equation.- Fokker-Planck Equation I.- Fokker-Planck Equation II.- Markov Chains.- Master Equation I.- Master Equation II.- Phase Transitions and Criticality.- Reactive Systems.- Glauber Model.- Systems with Inversion Symmetry.- Systems with Absorbing States.- Population Dynamics.- Probabilistic Cellular automata.- Reaction-Diffusion Processes.- Random Sequential Adsoprtion.- Percolation.

Produkt-Details

• Erscheint lt. Verlag: 26.11.2014
• Reihe/Serie: Graduate Texts in Physics
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
• Schlagworte: Dynamic Percolation • Glauber Model • Irreversible System Physics • Noise Induced Phenomena • Nonequilibrium Thermodynamics • Phase Transitions and Criticality • Probabilistic Cellular Automaton • random dynamical systems • Random Sequencial Adsorption • Reaction-Diffusion Processes • Systems with Inversion Symmetry • Textbook Master Equation • Textbook Phase Transitions
• ISBN-10: 3-319-11770-X / 331911770X
• ISBN-13: 978-3-319-11770-6 / 9783319117706