This volume comprises about forty research papers and essays covering a wide range of subjects in the forefront of contemporary statistical physics. The contributors are renown scientists and leading authorities in several different fields. This book is dedicated to Peter Szepfalusy on the occasion of his sixtieth birthday. Emphasis is placed on his two main areas of research, namely phase transitions and chaotic dynamical systems, as they share common aspects like the applicability of the probabilistic approach or scaling behaviour and universality. Several papers deal with equilibrium phase transitions, critical dynamics, and pattern formation. Also represented are disordered systems, random field systems, growth processes, and neural network. Statistical properties of interacting electron gases, such as the Kondo lattice, the Wigner crystal, and the Hubbard model, are treated. In the field of chaos, Hamiltonian transport and resonances, strange attractors, multifractal characteristics of chaos, and the effect of weak perturbations are discussed. A separate section is devoted to selected mathematical aspects of dynamical systems like the foundation of statistical mechanics, including the problem of ergodicity, and rigorous results on quantum chaos.
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Produkt-Hinweis
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ISBN-13
978-981-02-0938-4 (9789810209384)
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Schweitzer Klassifikation
Anisotropic segregation in a gravitational field, K. Binder et al; replica symmetry breaking in the ising spin glass in finite dimensions, C. De Dominicis and I. Kondor; problems of high-Tc superconductors - the resistivity, C. Enz; correction to dynamic scaling for the lambda transition in liquid HE4 III; quasi-sealing at the natural boundary, R.A. Ferrell; evolution of patterns in rotating Benard convection, H. Haken; phase transitions in binary systems in the presence of amphiphilic molecules, T. Kawakatsu and K. Kawasaki; droplet dynamics of ising ferromagnets at the critical point, J. Kertesz and D. Stauffer; on the number of lattice points inside a random domain, D.V. Kosygin and Ya G. Sinai; oscillations and onset of chaos in a driven nonlinear oscillator with possible escape to infinity, E. del Rio et al; chaotic properties of the noncommutative 2-shift, W. Thirring; Sinai disorder - intermittency in random maps, C. Van den Broeck and T. Tel; dynamics of growing self-affine surfaces, T. Vicsek; and others.
