Stochastic Dynamics and Irreversibility

Tânia Tomé, Mário J. de Oliveira (Autoren)

Buch | Softcover

XII, 394 Seiten

2016 | 1. Softcover reprint of the original 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-36481-0 (ISBN)

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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.

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

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.

Erscheinungsdatum	29.08.2016
Reihe/Serie	Graduate Texts in Physics
Zusatzinfo	XII, 394 p. 44 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Chemistry • Dynamic Percolation • Dynamics and statics • Glauber Model • Irreversible System Physics • Math. Applications in Chemistry • Mathematical methods in physics • Mathematical Physics • Maths for scientists • Noise Induced Phenomena • Nonequilibrium Thermodynamics • Nonlinear Dynamics • Nonlinear Science • Phase Transitions and Criticality • Physics and Astronomy • Probabilistic Cellular Automaton • probability and statistics • random dynamical systems • Random Sequencial Adsorption • Reaction-Diffusion Processes • Science: general issues • Statistics for Engineering, Physics, Computer Scie • Systems with Inversion Symmetry • Textbook Master Equation • Textbook Phase Transitions • thermodynamics • Thermodynamics and heat
ISBN-10	3-319-36481-2 / 3319364812
ISBN-13	978-3-319-36481-0 / 9783319364810
Zustand	Neuware