Time Reversal and Irreversibility

Time-reversal invariance and irreversibility in time-asymmetric quantum mechanics

The aim of this paper is to analyze the concepts of time-reversal invariance and irreversibility in the so-called ’time-asymmetric quantum mechanics’. We begin with pointing out the difference between these two concepts. On this basis, we show that irreversibility is not as tightly linked to the semigroup evolution laws of the theory -which lead to its non time-reversal invarianceas usually sug...

Time Reversal Invariance and Irreversibility 1. The standard approach to time reversal invariance for dynamical systems

1. The standard approach to time reversal invariance for dynamical systems State space . A process P is a parameterized curve s(t) in . So a process that describes the evolution from ti to tf is given by P : t 7! s(t); ti t tf . The “reversal”operation is an involution R : s 7! Rs (Rs = s). Then the time reversed process is P : t 7! T s(t) := (Rs)( t); tf t ti. A theory is said to be time rever...

Broken versus Non-Broken Time Reversal Symmetry: Irreversibility and Response

We review some approaches to macroscopic irreversibility from reversible microscopic dynamics, introducing the contribution of time dependent perturbations within the framework of recent developments in non-equilibrium statistical physics. We show that situations commonly assumed to violate the time reversal symmetry (presence of magnetic fields, rotating reference frames, and some time depende...

Irreversibility time scale.

Entropy creation rate is introduced for a system interacting with thermostats (i.e., for a system subject to internal conservative forces interacting with "external" thermostats via conservative forces) and a fluctuation theorem for it is proved. As an application, a time scale is introduced, to be interpreted as the time over which irreversibility becomes manifest in a process leading from an ...

Time - Reversal And