ROLLING BALL IN BREATHING PLANE-TREE ALLEY PARADIGM

Abstract

Sinai’s famous geometric explanation of equilibrium thermodynamics is extended towards non-equilibrium thermodynamics and cryodynamics. Specifically, “breathing smooth Sinai trees” are introduced. And so are “breathing Sinai funnels.” The example demonstrates that deterministic chaos lies at the root of two fundamental physical disciplines: statistical thermodynamics and statistical cryodynamics. Quantum mechanics, computer simulation, energy technology and cosmology profit from the new consistency.