Why does Boltzmann's ergodic hypothesis work and when does it fail

Details Why does Boltzmann's ergodic hypothesis work and when does it fail Why does Boltzmann's ergodic hypothesis work and when does it fail

2005-10-19

arxiv.org/abs/cond-mat/0510509v1

Physics

Condensed Matter

Statistical Mechanics

Invited presentation at NEXT conference in Crete, Greece 12-20 August 2005

Scientific paper

According to a recently given ergodic condition for Hermitian many-body models the thermodynamic limit and irreversibility are necessary but by themselves not sufficient. The sufficient condition turns out to be the existence of a zero frequency mode. It is measured by an infinite product of the recurrants from the recurrence relations method, which solves the Heisenberg equation of motion in Hermitian models. This condition has been tested with a variety of assemblies of nearest-neighbor coupled harmonic oscillators. The results provide a physical insight into why the ergodic hypothesis is valid and when it fails.

Affiliated with

Also associated with

No associations

Rating

Why does Boltzmann's ergodic hypothesis work and when does it fail does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Why does Boltzmann's ergodic hypothesis work and when does it fail, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Why does Boltzmann's ergodic hypothesis work and when does it fail will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-242726