A Kinetic View of Statistical Physics
Aimed at graduate students, this book explores some of the core phenomena in non-equilibrium statistical physics. It focuses on the development and application of theoretical methods to help students develop their problem-solving skills. The book begins with microscopic transport processes: diffusion, collision-driven phenomena, and exclusion. It then presents the kinetics of aggregation, fragmentation and adsorption, where the basic phenomenology and solution techniques are emphasized. The following chapters cover kinetic spin systems, both from a discrete and a continuum perspective, the role of disorder in non-equilibrium processes, hysteresis from the non-equilibrium perspective, the kinetics of chemical reactions, and the properties of complex networks. The book contains 200 exercises to test students' understanding of the subject. A link to a website hosted by the authors, containing supplementary material including solutions to some of the exercises, can be found at www.cambridge.org/9780521851039.
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adsorption aggregation annihilation ansatz approach asymptotic behavior average number Boltzmann Boltzmann equation boundary condition Cayley tree cluster coarsening coefficient collision compute configuration conservation Consider continuum correlation function decay degree distribution density dependence derivation detailed balance determine differential equation diffusion equation dimensional dimensional analysis dimer disorder domain walls droplet dynamics energy equilibrium evolution evolves example exponent exponential ferromagnetic finite flip fragmentation given gives Glauber graph hopping hydrodynamic hysteresis loop infinite initial condition integral interaction interface Ising–Glauber k-mer kernel kinetic Laplace transform lattice length linear long-time limit magnetization mass distribution master equation mean-field Mellin transform monomers neighboring node non-equilibrium obtain one-dimensional parameter particle phase probability distribution problem random walk result scaling Show solution solve spatial dimension spin stationary TDGL term total number variable velocity voter zero temperature