LEADER 04539nam 22005775 450 001 9910360854103321 005 20250609111002.0 010 $a3-030-29260-6 024 7 $a10.1007/978-3-030-29260-7 035 $a(CKB)4100000009759148 035 $a(DE-He213)978-3-030-29260-7 035 $a(MiAaPQ)EBC5975793 035 $a(PPN)269147276 035 $a(MiAaPQ)EBC5975579 035 $a(EXLCZ)994100000009759148 100 $a20191107d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPhase Transition Dynamics /$fby Tian Ma, Shouhong Wang 205 $a2nd ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XXXI, 757 p. 196 illus., 10 illus. in color.) 311 08$a3-030-29259-2 320 $aIncludes bibliographical references and index. 327 $aIntroduction to Dynamic Transitions -- Dynamic Transition Theory -- Equilibrium Phase Transitions in Statistical Physics -- Fluid Dynamics -- Geophysical Fluid Dynamics and Climate Dynamics -- Dynamical Transitions in Chemistry and Biology -- Fundamental Principles of Statistical and Quantum Physics -- Quantum Mechanism of Condensates and High Tc Superconductivity -- Topological Phase Transitions. . 330 $aThis book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields. This second edition introduces a unified theory for topological phase transitions, provides a first-principle approach to statistical and quantum physics, and offers a microscopic mechanism of quantum condensates (Bose-Einstein condensation, superfluidity, and superconductivity). Reviews of first edition: ?The goals of this interesting book are to derive a general principle of dynamic transitions for dissipative systems and to establish a systematic dynamic transition theory for a wide range of problems in the nonlinear sciences. ? The intended audience for this book includes students and researchers working on nonlinear problems in physics, meteorology, oceanography, biology, chemistry, and the social sciences.? (Carlo Bianca, Mathematical Reviews, December, 2014) ?This is a clearly written book on numerous types of phase transitions taken in a broad sense when a dynamical dissipative system transforms from one physical state into another. ? The book is a very useful literature not only for the professionals in the field of dynamic systems and phase transitions but also for graduate students due to its interdisciplinary coverage and state-of-the-art level.? (Vladimir ?ade?, zbMATH, Vol. 1285, 2014). 606 $aDifferential equations, Partial 606 $aFluids 606 $aSystem theory 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M13090 615 0$aDifferential equations, Partial. 615 0$aFluids. 615 0$aSystem theory. 615 14$aPartial Differential Equations. 615 24$aFluid- and Aerodynamics. 615 24$aComplex Systems. 676 $a515.353 700 $aMa$b Tian$4aut$4http://id.loc.gov/vocabulary/relators/aut$0423839 702 $aWang$b Shouhong$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910360854103321 996 $aPhase Transition Dynamics$92500665 997 $aUNINA