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Thermodynamics is a well-established discipline of physics for properties of matter in thermal equilibrium with the surroundings. Applying to crystals, however, the laws encounter undefined properties of crystal lattice, which therefore need to be determined for a clear and well-defined description of crystalline states. Thermodynamics of Crystalline States explores the roles played by order variables and dynamic lattices in crystals in a wholly new way.The book begins by clarifying basic concepts for stable crystals. Next, binary phase transitions are discussed to study collective motion of order variables, as described mostly as classical phenomena. New to this edition is the examination of magnetic crystals, where magnetic symmetry is essential for magnetic phase transitions. The multi-electron system is also discussed theoretically, as a quantum-mechanical example, for superconductivity in metallic crystals. Throughout the book, the role played by the lattice is emphasized and studied in-depth.Thermodynamics of Crystalline States is an introductory treatise and textbook on mesoscopic phenomena in solid states, constituting a basic subject in condensed matter physics. While this book serves as a guide for advanced students in physics and material science, it can also be useful as a reference for all professionals in related fields. Minoru Fujimoto is author of Physics of Classical Electromagnetism (Springer, 2007) and The Physics of Structural Phase Transitions (Springer, 2005).

Originated from studies on steam engines, thermodynamics is formulated traditi- ally for homogeneous materials. Applying to condensed matters however, laws of thermodynamics have to be evaluated with respect to the structural detail. Foll- ing after Kirkwood's chemical thermodynamics, the author's attempt is to discuss lattice dynamics in crystalline states in light of the traditional laws. It is noted that lattice symmetry remains as implicit in crystalline states if assumed as homo- neous, whereas deformed crystals with disrupted symmetry are not necessarily stable and inhomogeneous, exhibiting mesoscopic properties. In this context, the lattice dynamics in uniform crystalline states should accordingly be revised. Although mostly presumptive in the literature, such attempts should be formulated with fundamental principles for modern thermodynamics. I have selected structural changes and superconducting transitions for this book to discuss as basic pheno- na in crystals in thermal environment. Born and Huang have laid ground for thermodynamics of crystalline states in their book Dynamical Theory of Crystal Lattices. They assumed, however, that order– disorder phenomena were independent from the lattice dynamics, and hence excluded from their book. On the other hand, new evidence indicates that the problem must be treated otherwise; the lattice does play a vital role in ordering processes. Accordingly, I was motivated to write about physics of crystal lattice in the light of Born–Huang's principles, which constitutes my primary objective in this book.