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.