Bitemporal Dynamics Sinai Divergence, An Energetic Analog to Boltzmann's Entropy?
Abstract
Sinai chaos is characterized by exponential divergence between neighboring trajectories of a point billiard. If the repulsive potential of the finitediameter fixed particle in the middle of the table is made smooth, the Sinai divergence persists with finite measure. So it does if the smooth potential is made attractive. So it still does if the potential is in addition made timedependent (periodic). Then a systematic decrease in energy of the moving particle can be predicted to occur in both time directions for a long time. If so, classical entropy acquires an analog in real space.
 Publication:

arXiv eprints
 Pub Date:
 November 2008
 DOI:
 10.48550/arXiv.0811.0124
 arXiv:
 arXiv:0811.0124
 Bibcode:
 2008arXiv0811.0124R
 Keywords:

 Physics  Classical Physics
 EPrint:
 2 pages