Herbert
Spohn
1986-03
1-33
false
research_article
http://link.springer.com/10.1007/BF01464280
en
We consider an infinitely extended system of Brownian particles interacting by a pair force-gradV. Their initial distribution is stationary and given by the Gibbs measure associated with the potentialV with fugacityz. We assume thatV is symmetric, finite range, three times continuously differentiable, superstable, and positive and that the fugacity is small in the sense that 0≦z≦0.28/eεdq(1-e−V(q)). In addition a certain essential self-adjointness property is assumed. We prove then that the time-dependent fluctuations in the density on a spatial scale of order ɛ−1 and on a time scale of order ɛ−2 converge as ɛ→0 to a Gaussian field with covariance χεdqg(q)(e(ρ/2χ)Δ|t|f)(q) withp the density and χ the compressibility.
2019-04-11T13:30
articles
Equilibrium fluctuations for interacting Brownian particles
1986-03-01
https://scigraph.springernature.com/explorer/license/
Geomatic Engineering
0010-3616
1432-0916
Communications in Mathematical Physics
Springer Nature - SN SciGraph project
103
050dbe87befd6f93b55dcb88c3fc0492564c2c401b002d1cb8456cf018414dbe
readcube_id
1
Engineering
Ludwig Maximilian University of Munich
Theoretische Physik, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-8000, München 2, Federal Republic of Germany
dimensions_id
pub.1001060784
doi
10.1007/bf01464280