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

2School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom. These universal features of Arctic melt pond evolution are similar to phase transitions in statistical physics. 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. The crucial claim is that phase transitions are qualitative changes that cannot be reduced to fit the more fundamental explanatory principles of statistical mechanics. 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. Applied probability theory, mathematical statistical mechanics. Statistical physics has been applied in the last decades to several problems in mechanics, including fracture and plasticity. Duncan, Matthew Dennison, Andrew J. Received 18 September 2012; published 28 January 2013. One way to detect a quantum phase transition is simply to notice that ground state depends very sensitively on the parameters near such a point. A new mean field statistical mechanics model of two interacting groups of spins is introduced and the phase transition studied in terms of their relative size. We investigate Lee-Yang zeros of generating functions of dynamical observables and establish a general relation between phase transitions in ensembles of trajectories of stochastic many-body systems and the time evolution of high-order cumulants of such observables. This debate is especially relevant to the relation between statistical mechanics and thermodynamics, and the physics of phase transition. But we can also turn it around: “Physics is informational”. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics 52 pp. The workshop on Computation and Phase Transitions brings together researchers from Statistical Physics, Probability, Discrete Mathematics, and Theoretical Computer Science. But is it long range ordering, i.e. The interesting thing in statistical mechanics is always to analyse phase transitions. Interacting particle systems, nonequilibrium phase transitions, hydrodynamic limits.