Koide and Kodama on relativistic brownian motion

[marcus]

http://arxiv.org/abs/0710.1904
Relativistic generalization of Brownian Motion
Authors: T. Koide, T. Kodama
11 pages
(Submitted on 10 Oct 2007)

"The relativistic generalization of the Brownian motion is discussed. We show that the transformation property of the noise term is determined by requiring for the equilibrium distribution function to be Lorentz invariant, such as the Jüttner distribution function. It is shown that this requirement generates an entanglement between the force term and the noise so that the noise itself should not be a covariant quantity."

This just came out.
Koide and Kodama are famous names around here, so I thought some folks might like to take note of a joint paper by the two.

 

[Evan Fox]

It looks like they are discussing how to incorporate relativistic principles into the Brownian motion. I'm interested in seeing how this paper develops and what implications it has for physics.

 

[Entropia]

Thank you for sharing this interesting paper on the relativistic generalization of Brownian motion by Koide and Kodama. It is always exciting to see renowned names collaborating on such topics.

The authors make a compelling argument for the transformation property of the noise term in order to maintain Lorentz invariance in the equilibrium distribution function. This is an important aspect to consider when studying relativistic systems, and it is fascinating to see the entanglement between the force term and the noise that arises from this requirement.

Overall, this paper provides valuable insights into the behavior of Brownian motion in the context of special relativity. I appreciate you bringing it to our attention and I look forward to reading more from these authors in the future.