Bounds for Fisher information and its production under flow

Details Bounds for Fisher information and its production under flow Bounds for Fisher information and its production under flow

2012-04-05

arxiv.org/abs/1204.1157v1

J. Math. Phys. Vol.53, 043301 (2012)

Physics

Condensed Matter

Statistical Mechanics

12 pages, no figure

Scientific paper

10.1063/1.3700757

We prove that two well-known measures of information are interrelated in interesting and useful ways when applied to nonequilibrium circumstances. A nontrivial form of the lower bound for the Fisher information measure is derived in presence of a flux vector, which satisfies the continuity equation. We also establish a novel upper bound on the time derivative (production) in terms of the arrow of time and derive a lower bound by the logarithmic Sobolev inequality. These serve as the revealing dynamics of the information content and its limitations pertaining to nonequilibrium processes.

Affiliated with

Also associated with

No associations

Rating

Bounds for Fisher information and its production under flow 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 Bounds for Fisher information and its production under flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounds for Fisher information and its production under flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-212528