Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-05-20
Physics
Condensed Matter
Statistical Mechanics
4+2 pages, 1 figure. Vastly revised in form and content
Scientific paper
We generalize an orthonormality relation between decay eigenmodes of equilibrium systems to nonequilibrium markovian generators which commute with their time-reversal. Viewing such modes as tangent vectors to the manifold of statistical ensembles, we relate the result to the choice of a coordinate patch which makes the Fisher-Rao metric euclidean at the invariant state, realizing a sort of statistical equivalence principle. Finally, we classify nonequilibrium systems according to their spectrum, arguing that a degenerate Fisher matrix is a signature of the insurgence of a class of phase transitions between nonequilibrium regimes. We exhibit an order parameter with power-law critical decay and prove divergent correlations between suitable unbiased estimators.
No associations
LandOfFree
Equivalence principle and critical behaviour for nonequilibrium decay modes 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 Equivalence principle and critical behaviour for nonequilibrium decay modes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalence principle and critical behaviour for nonequilibrium decay modes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-650289