Tropical limit in statistical physics

Statistical Physics in Meteorology

Various aspects of modern statistical physics and meteorology can be tied together. The historical importance of the University of Wroclaw in the field of meteorology is first pointed out. Next, some basic difference about time and space scales between meteorology and climatology is outlined. The nature and role of clouds both from a geometric and thermal point of view are recalled. Recent stud...

Homotopy in statistical physics

In condensed matter physics and related areas, topological defects play important roles in phase transitions and critical phenomena. Homotopy theory facilitates the classification of such topological defects. After a pedagogic introduction to the mathematical methods involved in topology and homotopy theory, the role of the latter in a number of mainly low-dimensional statistical-mechanical sys...

Pseudochaos in Statistical Physics

A new generic dynamical phenomenon of pseudochaos and its relevance to the statistical physics both modern as well as traditional one are considered and explained in some detail. The pseudochaos is defined as a statistical behavior of the dynamical system with discrete energy and/or frequency spectrum. In turn, the statistical behavior is understood as time–reversible but nonrecurrent relaxatio...

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...