LEADER 03834nam 22006135 450 001 9911039316103321 005 20251101120357.0 010 $a9789819517589$b(electronic bk.) 010 $z9789819517572 024 7 $a10.1007/978-981-95-1758-9 035 $a(MiAaPQ)EBC32384872 035 $a(Au-PeEL)EBL32384872 035 $a(CKB)41997173800041 035 $a(DE-He213)978-981-95-1758-9 035 $a(EXLCZ)9941997173800041 100 $a20251101d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPhysics of Entropy $eImpact of Frustration to Thermodynamics of Matter /$fby Seiji Miyashita 205 $a1st ed. 2025. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025. 215 $a1 online resource (356 pages) 225 1 $aSpringer Series in Solid-State Sciences,$x2197-4179 ;$v212 311 08$aPrint version: Miyashita, Seiji Physics of Entropy Singapore : Springer,c2025 9789819517572 327 $a1. Introduction -- Part I: What entropy is -- 2. De?nition of Entropy -- 3. Examples of phenomena caused by entropy -- Part II: Frustration and Entropy -- 4. Ground state degeneracy in frustrated systems with discrete variables -- 5. Ordering in frustrated systems of continuous variables -- 6. Quantum e?ects -- Part III Entropy in non-equilibrium system -- 7. Entropy in non-equilibrium system -- Index. 330 $aThis book presents a thorough discussion of the role of entropy in thermodynamic systems, with particular emphasis on its influence on the stability of matter. Challenging conventional energy-centric paradigms, the book explores how entropy leads to stable phases in systems, especially systems characterized by frustration. Through detailed explanations of key concepts of entropy, and concrete examples, such as entropic forces, adiabatic demagnetization, and entropy-driven phase transitions, the book elucidates the multifaceted nature of entropy. Special attention is given to the phenomenon of "order by disorder" in frustrated systems, where entropy plays a crucial role in determining thermodynamic stability. Both discrete and continuous spin systems are analyzed to illustrate the mechanisms by which entropy governs ordering processes. The treatment also extends to quantum fluctuations and their contribution to phase transitions, offering a comprehensive perspective across classical and quantum regimes. Extension of entropy to non-equilibrium states and also to non-extensive states is also explained. Intended for researchers and graduate and advanced undergraduate students in physics and related disciplines, this volume offers a detailed explanation of the concept of entropy, giving theoretical insights with illustrative case studies. It serves as a valuable resource for those who would like to more deeply understand entropy and its foundational role in the thermodynamics of complex systems. 410 0$aSpringer Series in Solid-State Sciences,$x2197-4179 ;$v212 606 $aCondensed matter 606 $aMagnetism 606 $aThermodynamics 606 $aStatistical physics 606 $aCondensed Matter Physics 606 $aMagnetism 606 $aThermodynamics 606 $aStatistical Physics 615 0$aCondensed matter. 615 0$aMagnetism. 615 0$aThermodynamics. 615 0$aStatistical physics. 615 14$aCondensed Matter Physics. 615 24$aMagnetism. 615 24$aThermodynamics. 615 24$aStatistical Physics. 676 $a530.41 700 $aMiyashita$b Seiji$01265773 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9911039316103321 996 $aPhysics of Entropy$94454482 997 $aUNINA