Molecular Brownian motion and invariance group of the Bogolyubov equation

Details Molecular Brownian motion and invariance group of the Bogolyubov equation Molecular Brownian motion and invariance group of the Bogolyubov equation

2008-10-29

arxiv.org/abs/0810.5383v2

Physics

Condensed Matter

Statistical Mechanics

19 pages, no figures, LaTeX amsart, approximate translation of manuscript submitted to TMF, five typos corrected

Scientific paper

Statistics of molecular random walks in a fluid is considered with the help of Bogolyubov equation for generating functional of distribution functions. An invariance group of this equation is found. It results in many exact relations between path probability distribution of a test particle and its correlations with the fluid. As the consequence, significant restrictions on possible shape of the path distribution do arise. In particular, the hypothetical Gaussian form of long-range asymptotic proves to be forbidden, even (and first of all) under the Boltzmann-Grad limit. An allowed diffusive asymptotic possesses power-law long tail (cut off by free flight length).

Affiliated with

Also associated with

No associations

Rating

Molecular Brownian motion and invariance group of the Bogolyubov equation 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 Molecular Brownian motion and invariance group of the Bogolyubov equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Molecular Brownian motion and invariance group of the Bogolyubov equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-278087