Equilibrium Statistical Physics
Phases, Phase Transitions, and Topological Phases
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Beschreibung
This textbook gradually introduces students to the statistical mechanical study of the different phases of matter and to the phase transitions between them. It uses simple yet fully detailed models of both hard and soft matter systems to demonstrate core concepts, developing the subject matter in a thorough and accessible pedagogical manner throughout. Starting from an introduction to basic thermodynamics and statistical physics, the book progresses from ideal, non-interacting systems to real systems exhibiting classical interactions and phase transitions. It concludes with a selection of more advanced topics, such as the renormalisation group approach to critical phenomena, the density functional theory of interfaces, and kinematic aspects of the phase transformation process.
This updated second edition features a considerably expanded study of the topology of the phases, including applications to modern problems such as topological defects of nematic liquid crystals and the topological phase transition of a two-dimensional spin system. Along with a complete introductory overview of the theory of phase transitions, this textbook provides students with ample material for deeper study. References include suggestions for more detailed treatments and six appendices supply overviews of the mathematical tools employed in the text.
This unique textbook gradually introduces the student to the statistical mechanical study of the different phases of matter and to the phase transitions between them. Throughout, only simple models of both ordinary and soft matter are used but these are studied in full detail. The subject is developed in a pedagogical manner, starting from the basics, going from the simple ideal systems to the interacting systems, and ending with the more modern topics. This textbook provides the student with a complete overview, intentionally at an introductory level, of the theory of phase transitions. References include suggestions for more detailed treatments and four appendices supply overviews of the mathematical tools employed in the text.
Provides a unique pedagogical approach to statistical physics with a focus on phase transitions Cover modern topics such as a topological defects and topological phase transitions Includes all important derivations and mathematical tools in six appendices
Autor*in
Marc Baus
Themen in »Equilibrium Statistical Physics«
Statistical Mechanics of Phase Transitions Topological Defects Topological Phase Transitions 3D Nematic Liquid Crystals Planar Spin Systems 2D Spin Systems 2D Coulomb Plasmas n-Dimensional Gaussian Fluctuations Helmholtz Decomposition Kosterlitz-Thouless Transition Pair Correlation Function Nanomaterial