Relativistic Fluctuation Theorems: Theory and explicit examples

Details Relativistic Fluctuation Theorems: Theory and explicit examples Relativistic Fluctuation Theorems: Theory and explicit examples

2007-05-22

arxiv.org/abs/0705.3115v1

ComptesRendusPhysique8:696-713,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, 6 figures, Comptes rendus - Physique

Scientific paper

10.1016/j.crhy.2007.05.015

To reveal how nonequilibrium physics and relativity theory intertwine, this articles studies relativistic Brownian motion under cosmic expansion. Two fluctuation theorems for the entropy ds, which is locally produced in this extreme nonequilibrium situation, are presented and proven. The first, =1, is a generalization of the second law of thermodynamics, that remains valid at relativistic particle energies and under high cosmic expansion rates. From this relation follows, that the probability to observe a local reduction of entropy is exponentially small even if the universe was to recollapse. For the special case of the Einstein-de Sitter universe an additional relation, =1, is derived which holds simultaneously with the first relation and where dh is proportional to the Hubble constant. Furthermore, the fluctuation theorems are shown to provide a physical criterion to resolve the known discretization dilemma arising in special-relativistic Brownian motion. Explicit examples and a general method for the computation of non-Gaussian entropy fluctuations are provided.

Affiliated with

Also associated with

No associations

Rating

Relativistic Fluctuation Theorems: Theory and explicit examples 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 Relativistic Fluctuation Theorems: Theory and explicit examples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic Fluctuation Theorems: Theory and explicit examples will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-415875