Sep 1, 2014
Two numerical Sinai-type Theorems
Posted by Otto E. Rössler in category: particle physics
T1: A numerical instability applies to time-inverted trajectories in deterministic statistical thermodynamics.
T2: A numerical instability applies to non-time inverted trajectories in deterministic statistical cryodynamics.
Cryodynamics in contrast to thermodynamics is based on inter-particle attraction rather than inter-particle repulsion. T2 implies that in numerical simulations of attraction-based gases, markedly deviating trajectories are necessarily generated. Since this fact went unrecognized, a whole new time’s arrow got overlooked numerically.