12. Statistical physics

Statistical Physics: 12/28/95 MULTIFRACTAL DIMENSIONS FOR BRANCHED GROWTH

A recently proposed theory for diffusion-limited aggregation (DLA), which models this system as a random branched growth process, is reviewed. Like DLA, this process is stochastic, and ensemble averaging is needed in order to define multifractal dimensions. In an earlier work [T.C. Halsey and M. Leibig, Phys. Rev. A 46, 7793 (1992)], annealed average dimensions were computed for this model. In ...

Statistical Physics

Statistical Physics

1 Basic principles. 3 1.1 Distribution in the phase space . . . . . . . . . . . . . . . . . 3 1.2 Microcanonical distribution . . . . . . . . . . . . . . . . . . . 4 1.3 Canonical distribution . . . . . . . . . . . . . . . . . . . . . . 6 1.4 Two simple examples . . . . . . . . . . . . . . . . . . . . . . . 8 1.4.1 Two-level system . . . . . . . . . . . . . . . . . . . . . 8 1.4.2 Harmonic osci...

Statistical Physics

Introduction to Statistical Physics outside Physics

We review the possibilities and difficulties for statistical physicists if they apply their methods to biology, economics, or sociology. WARNING: I report opinions, not simulations.