04679nam 22007815 450 991030043420332120200701121333.03-319-11770-X10.1007/978-3-319-11770-6(CKB)3710000000306140(SSID)ssj0001386792(PQKBManifestationID)11860998(PQKBTitleCode)TC0001386792(PQKBWorkID)11374266(PQKB)11128480(DE-He213)978-3-319-11770-6(MiAaPQ)EBC6315259(MiAaPQ)EBC5596065(Au-PeEL)EBL5596065(OCoLC)1076260144(PPN)183098005(EXLCZ)99371000000030614020141126d2015 u| 0engurnn|008mamaatxtccrStochastic Dynamics and Irreversibility /by Tânia Tomé, Mário J. de Oliveira1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XII, 394 p. 44 illus.) Graduate Texts in Physics,1868-4513Bibliographic Level Mode of Issuance: Monograph3-319-11769-6 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.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.Graduate Texts in Physics,1868-4513PhysicsChemometricsStatistical physicsThermodynamicsStatisticsMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Math. Applications in Chemistryhttps://scigraph.springernature.com/ontologies/product-market-codes/C17004Applications of Nonlinear Dynamics and Chaos Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P33020Thermodynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21050Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/S17020Physics.Chemometrics.Statistical physics.Thermodynamics.Statistics.Mathematical Methods in Physics.Math. Applications in Chemistry.Applications of Nonlinear Dynamics and Chaos Theory.Thermodynamics.Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.530Tomé Tâniaauthttp://id.loc.gov/vocabulary/relators/aut792537de Oliveira Mário Jauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300434203321Stochastic Dynamics and Irreversibility2512325UNINA