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Page 1. ERGODIC PROPERTIES OF INFINITE SYSTEMS Sheldon Goldstein Institute for Advanced Study, Princeton University, New Jersey Joel L. Lebowitz t and Michael Aizenman Belfer Graduate School of Science, Yeshiva University, New York... more
Page 1. ERGODIC PROPERTIES OF INFINITE SYSTEMS Sheldon Goldstein Institute for Advanced Study, Princeton University, New Jersey Joel L. Lebowitz t and Michael Aizenman Belfer Graduate School of Science, Yeshiva University, New York Abstract ...
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Research Interests: Chemical Engineering, Physics, Kinetics, Statistical Physics, Chemical Physics, and 13 moreAtmospheric sciences, Computer Simulation, Mathematical Sciences, Physical sciences, Nucleation, Nearest Neighbor, Metastability, Phase transition, Boolean Satisfiability, Extrapolation, Aerosol Science, Metastable state, and K-nearest neighbors algorithm
Research Interests: Physics, Condensed Matter Physics, Monte Carlo Simulation, Frustration, Medicine, and 15 moreIsing Model, Phase transition, First-Order Logic, Physical, Phase Transformation, Second Order, First Order Logic, Microstructures, Low Temperature, Hexagonal lattice, Potts Model, Antiferromagnetism, Monte Carlo Method, Finite Size Scaling, and phase diagram
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Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field u when the system is segregated into two phases (at low temperatures) with a sharp interface between them. u satisfies... more
Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field u when the system is segregated into two phases (at low temperatures) with a sharp interface between them. u satisfies the incompressible Navier-Stokes equations ...
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Research Interests: Statistical Mechanics, Cellular Automata, Statistical Physics, Growth Kinetics, Critical phenomena, and 12 moreComputer Simulation, Mathematical Sciences, Physical sciences, Phase transition, Second Order, Detailed Balance, Lumping Kinetic Model, Discrete Time Systems, Mean Field Approximation, Cellular automaton, Discrete time, and Kinetic model
Research Interests: Stochastic Process, Thermodynamics, Lattice Theory, Statistical Physics, Anisotropy, and 15 moreMathematical Sciences, Power Law, Physical sciences, Fluctuations, CHEMICAL SCIENCES, Historic conservation law, Detailed Balance, Spatial Correlation, Charge Density, Electric Field, Perturbation Theory, Anisotropia, Correlation function, Stationary State, and Exponential Decay
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Using computer simulations, we investigate the time evolution of the (Boltzmann) entropy of a dense fluid not in local equilibrium. The macrovariables M describing the system are the (empirical) particle density f={f(x̲ ,v̲ )} and the... more
Using computer simulations, we investigate the time evolution of the (Boltzmann) entropy of a dense fluid not in local equilibrium. The macrovariables M describing the system are the (empirical) particle density f={f(x̲ ,v̲ )} and the total energy E. We find that S(f t ,E) is a ...