LEADER 04679nam 22007815 450 001 9910300434203321 005 20200701121333.0 010 $a3-319-11770-X 024 7 $a10.1007/978-3-319-11770-6 035 $a(CKB)3710000000306140 035 $a(SSID)ssj0001386792 035 $a(PQKBManifestationID)11860998 035 $a(PQKBTitleCode)TC0001386792 035 $a(PQKBWorkID)11374266 035 $a(PQKB)11128480 035 $a(DE-He213)978-3-319-11770-6 035 $a(MiAaPQ)EBC6315259 035 $a(MiAaPQ)EBC5596065 035 $a(Au-PeEL)EBL5596065 035 $a(OCoLC)1076260144 035 $a(PPN)183098005 035 $a(EXLCZ)993710000000306140 100 $a20141126d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aStochastic Dynamics and Irreversibility /$fby Tânia Tomé, Mário J. de Oliveira 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XII, 394 p. 44 illus.) 225 1 $aGraduate Texts in Physics,$x1868-4513 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-11769-6 327 $aRandom 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. 330 $aThis textbook presents an exposition of stochastic dynamics and irreversibility. It comprises the principles of probability theory and the stochastic dynamics in continuous spaces, described by Langevin and Fokker-Planck equations, and in discrete spaces, described by Markov chains and master equations. Special concern is given to the study of irreversibility, both in systems that evolve to equilibrium and in nonequilibrium stationary states. Attention is also given to the study of models displaying phase transitions and critical phenomema both in thermodynamic equilibrium and out of equilibrium. These models include the linear Glauber model, the Glauber-Ising model, lattice models with absorbing states such as the contact process and those used in population dynamic and spreading of epidemic, probabilistic cellular automata, reaction-diffusion processes, random sequential adsorption and dynamic percolation. A stochastic approach to chemical reaction is also presented.The textbook is intended for students of physics and chemistry and for those interested in stochastic dynamics. It provides, by means of examples and problems, a comprehensive and detailed explanation of the theory and its applications. 410 0$aGraduate Texts in Physics,$x1868-4513 606 $aPhysics 606 $aChemometrics 606 $aStatistical physics 606 $aThermodynamics 606 $aStatistics 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aMath. Applications in Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C17004 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 606 $aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/S17020 615 0$aPhysics. 615 0$aChemometrics. 615 0$aStatistical physics. 615 0$aThermodynamics. 615 0$aStatistics. 615 14$aMathematical Methods in Physics. 615 24$aMath. Applications in Chemistry. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aThermodynamics. 615 24$aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 676 $a530 700 $aTomé$b Tânia$4aut$4http://id.loc.gov/vocabulary/relators/aut$0792537 702 $ade Oliveira$b Mário J$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300434203321 996 $aStochastic Dynamics and Irreversibility$92512325 997 $aUNINA