Topological Torsion and Thermodynamic Irreversibility
The concept ot thermodynamic irreversibility can be put into correspondence with a Topological Torsion vector that has a divergence anomaly. The physical systems investigated are presumed to be describable by a 1-form of Action, and the evolutionary processes are represented by contravariant vector fields. The unique direction field generated by the topological torsion n-1 form can be shown to represent a process for which the 1-form of heat does not admit an integrating factor. Hence such processes are irreversible. Such torsion direction fields are uniquely defined on a symplectic manifold of dimension 2n+2 and have the property that they decay to singular points which form contact manifolds of dimension 2n+1. Examples in plasma and hydrodynamic situations are given.


Copyright © CSDC Inc. All rights reserved.
Last update 08/27/2001
to HomePage