Diffusion in Curved Spacetimes

Details Diffusion in Curved Spacetimes Diffusion in Curved Spacetimes

2011-04-17

arxiv.org/abs/1104.3303v4

New J. Phys. 14 (2012) 023019

Physics

Condensed Matter

Statistical Mechanics

14 pages, substantially revised version

Scientific paper

10.1088/1367-2630/14/2/023019

Using simple kinematical arguments, we derive the Fokker-Planck equation for diffusion processes in curved spacetimes. In the case of Brownian motion, it coincides with Eckart's relativistic heat equation (albeit in a simpler form), and therefore provides a microscopic justification for his phenomenological heat-flux ansatz. Furthermore, we obtain the small-time asymptotic expansion of the mean square displacement of Brownian motion in static spacetimes. Beyond general relativity itself, this result has potential applications in analogue gravitational systems.

Affiliated with

Also associated with

No associations

Rating

Diffusion in Curved Spacetimes 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 Diffusion in Curved Spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion in Curved Spacetimes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-394280