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Statistical Mechanics of Phase Transitions J. M. Yeomans
Publisher: Oxford University Press, USA

Topics from modern statistical mechanics are explored in 8.334: the hydrodynamic limit and classical field theories. Interacting particle systems, nonequilibrium phase transitions, hydrodynamic limits. Mathematical statistical mechanics. The liquid-solid phase transition, Radin and Aristoff reason, should therefore be marked by the “shear response” of a material jumping from zero to a positive value. Applied probability theory, mathematical statistical mechanics. ISRN Condensed Matter Physics The second class of work is the phase transitions which demand the Landau expansion of the free energy in the order parameter [3, 8, 11]. Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters 49 pp. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics 52 pp. Several chapters are then devoted to an introduction to simple lattice field theories and a variety of spin systems with discrete and continuous spins, where the ubiquitous Ising model serves as an ideal guide for introducing the fascinating area of phase transitions. Over the past few decades the powerful methods of statistical physics and Euclidean quantum field theory have moved closer together, with common tools based on the use of path integrals. Solvable Models in Algebraic Statistical Mechanics (Science Research Papers);D.A. The crucial claim is that phase transitions are qualitative changes that cannot be reduced to fit the more fundamental explanatory principles of statistical mechanics. Duncan, Matthew Dennison, Andrew J. The positions are funded by the ERC starting grant “Phase transitions and computational complexity”. Phase transitions and broken symmetries: universality, correlation functions, and scaling theory. The application deadline is June 12th, 2013. Build a model like this — you'll find this in any introductory statistical mechanics book — and you get a self-consistency condition for the bulk magnetization. Should have a working knowledge of statistical mechanics on the intermediate level.