Entropy, non-ergodicity and non-Gaussian behaviour in ballistic transport

Details Entropy, non-ergodicity and non-Gaussian behaviour in ballistic transport Entropy, non-ergodicity and non-Gaussian behaviour in ballistic transport

2007-01-30

arxiv.org/abs/cond-mat/0701753v1

Europhys. Lett., 77 (2007) 37004

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 2 figures

Scientific paper

10.1209/0295-5075/77/37004

Ballistic transportation introduces new challenges in the thermodynamic properties of a gas of particles. For example, violation of mixing, ergodicity and of the fluctuation-dissipation theorem may occur, since all these processes are connected. In this work, we obtain results for all ranges of diffusion, i.e., both for subdiffusion and superdiffusion, where the bath is such that it gives origin to a colored noise. In this way we obtain the skewness and the non-Gaussian factor for the probability distribution function of the dynamical variable. We put particular emphasis on ballistic diffusion, and we demonstrate that in this case, although the second law of thermodynamics is preserved, the entropy does not reach a maximum and a non-Gaussian behavior occurs. This implies the non-applicability of the central limit theorem.

Affiliated with

Also associated with

No associations

Rating

Entropy, non-ergodicity and non-Gaussian behaviour in ballistic transport 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 Entropy, non-ergodicity and non-Gaussian behaviour in ballistic transport, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Entropy, non-ergodicity and non-Gaussian behaviour in ballistic transport will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470205