One-dimensional numerical integration: gaussian quadrature; use of subroutines from Numerical Recipes e. VI Unit - April , - Metropolis Monte Carlo method for generating arbitrary nonuniform probability distributions and for importance sampling. The Metropolis method in the canonical ensemble. The Boltzmann distribution as a result of the Metropolis method. Simulation with the Metropolis method.
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The Ising phase transition: Critical Temperature. Magnetic susceptibility and specific heat. Further details about the Ising model. Critical exponents, finite size analysis basics. IX Unit - May , - Lattice gas; example of vacancy diffusion on a solid or similar examples. Fractals: diffusion and aggregation.
Model for surface growth. Basic concepts of Molecular dynamics simulations. Logistic maps. Lyapunov exponents. Roundoff errors and unpredictability.
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Chaos and classical billiards. Gould, J. Paris I 3 54 P. Delacour Ed. World Scientific, , pp 57 J. Weichert, and P. Migowski, T. Wanschura, and P.
Beyer, T. Degner, J. Hausmann, M. Hoffmann, and P. Usbeck and P. Herrmann, D. Wolf, E.
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Aperiodicity and Disorder - Do They Play a Role? - Open Research Online
Migowski, and P. Wolf, M. Schreckenberg, A. Bachem Eds pp World Scientific, 66 J. Benda, P. Rujan , and J. Elsner and H-U.
Statistical Physics Group
Schnitzler, pp. Urbscaht, P. Rujan, M. Bongard, J. Rujan and T. Hausmann and P. Rev Lett. B 77 73 M-P. Schambach and P.
ISBN 13: 9783540421603
A 32 75 J. One and Two Dimensions, J. Proceedings of the Perception 29 suppl : Benda, R. Bock, P. Rujan, and J. Layer, J.
Computational Statistical Physics: From Billards to Monte Carlo
Schwenninger, H-J. Peiderer, and P. Carrabina, D. Castells, M. Monton, P. Rujan, F.
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