ISSN:
1572-9613
Keywords:
Central limit theorem
;
Brownian motion
;
test particle
;
deterministic dynamics
;
stochastic processes
;
invariance principle
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We investigate the probability distribution of the scaled trajectory of a test particle moving in an equilibrium fluid according to the laws of classical mechanics, i.e., ifQ(t) is the displacement of the test particle we letQ A(t) =Q(At)/√A and consider the distribution of the trajectory QA(t) in the limit A→∞. The randomness of the motion is due entirely to the randomness of the initial state of the fluid, test particle, or both, and the process is generally non-Markovian. Nevertheless, it can be proven in some cases and we expect it to be true in many more that QA (t) looks like Brownian motion in the limit A→∞. Some results for simple model systems are presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01012325
Permalink
