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Cover: 9783319364810 | Stochastic Dynamics and Irreversibility | Mário J. de Oliveira (u. a.)
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Stochastic Dynamics and Irreversibility
Taschenbuch von Mário J. de Oliveira (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Tânia Tomé and Mário J. de Oliveira, Universidade de Sao Paulo, Brazil
Zusammenfassung

Equips readers with a detailed mathematical and theoretical framework suitable for in depth study of stochastic dynamics

Carefully balanced, with detail and clarity, to enable fast progress

Outreach to equilibrium and non-equilibrium thermodynamics

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Physics
Inhalt: xii
394 S.
44 s/w Illustr.
394 p. 44 illus.
ISBN-13: 9783319364810
ISBN-10: 3319364812
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: de Oliveira, Mário J.
Tomé, Tânia
Auflage: Softcover reprint of the original 1st ed. 2015
Hersteller: Springer International Publishing
Springer International Publishing AG
Graduate Texts in Physics
Maße: 235 x 155 x 23 mm
Von/Mit: Mário J. de Oliveira (u. a.)
Erscheinungsdatum: 23.08.2016
Gewicht: 0,616 kg
Artikel-ID: 103434491
Über den Autor
Tânia Tomé and Mário J. de Oliveira, Universidade de Sao Paulo, Brazil
Zusammenfassung

Equips readers with a detailed mathematical and theoretical framework suitable for in depth study of stochastic dynamics

Carefully balanced, with detail and clarity, to enable fast progress

Outreach to equilibrium and non-equilibrium thermodynamics

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2016
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Physics
Inhalt: xii
394 S.
44 s/w Illustr.
394 p. 44 illus.
ISBN-13: 9783319364810
ISBN-10: 3319364812
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: de Oliveira, Mário J.
Tomé, Tânia
Auflage: Softcover reprint of the original 1st ed. 2015
Hersteller: Springer International Publishing
Springer International Publishing AG
Graduate Texts in Physics
Maße: 235 x 155 x 23 mm
Von/Mit: Mário J. de Oliveira (u. a.)
Erscheinungsdatum: 23.08.2016
Gewicht: 0,616 kg
Artikel-ID: 103434491
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