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Stochastic Dynamics and Irreversibility

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 equati...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Tomé, Tânia (Autor), de Oliveira, Mário J. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Graduate Texts in Physics,
Temas:
Acceso en línea:Texto Completo

MARC

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300 |a XII, 394 p. 44 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Graduate Texts in Physics,  |x 1868-4521 
505 0 |a 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. 
520 |a 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 phenomema 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. 
650 0 |a Mathematical physics. 
650 0 |a Chemometrics. 
650 0 |a Nonlinear Optics. 
650 0 |a Thermodynamics. 
650 0 |a Statistics . 
650 1 4 |a Mathematical Methods in Physics. 
650 2 4 |a Mathematical Applications in Chemistry. 
650 2 4 |a Nonlinear Optics. 
650 2 4 |a Thermodynamics. 
650 2 4 |a Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 
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830 0 |a Graduate Texts in Physics,  |x 1868-4521 
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950 |a Physics and Astronomy (SpringerNature-11651) 
950 |a Physics and Astronomy (R0) (SpringerNature-43715)