03834nam 22006135 450 991103931610332120251101120357.09789819517589(electronic bk.)978981951757210.1007/978-981-95-1758-9(MiAaPQ)EBC32384872(Au-PeEL)EBL32384872(CKB)41997173800041(DE-He213)978-981-95-1758-9(EXLCZ)994199717380004120251101d2025 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierPhysics of Entropy Impact of Frustration to Thermodynamics of Matter /by Seiji Miyashita1st ed. 2025.Singapore :Springer Nature Singapore :Imprint: Springer,2025.1 online resource (356 pages)Springer Series in Solid-State Sciences,2197-4179 ;212Print version: Miyashita, Seiji Physics of Entropy Singapore : Springer,c2025 9789819517572 1. Introduction -- Part I: What entropy is -- 2. Definition 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 effects -- Part III Entropy in non-equilibrium system -- 7. Entropy in non-equilibrium system -- Index.This 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.Springer Series in Solid-State Sciences,2197-4179 ;212Condensed matterMagnetismThermodynamicsStatistical physicsCondensed Matter PhysicsMagnetismThermodynamicsStatistical PhysicsCondensed matter.Magnetism.Thermodynamics.Statistical physics.Condensed Matter Physics.Magnetism.Thermodynamics.Statistical Physics.530.41Miyashita Seiji1265773MiAaPQMiAaPQMiAaPQ9911039316103321Physics of Entropy4454482UNINA