Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-03-12
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
A finite array of $N$ globally coupled Stratonovich models exhibits a continuous nonequilibrium phase transition. In the limit of strong coupling there is a clear separation of time scales of center of mass and relative coordinates. The latter relax very fast to zero and the array behaves as a single entity described by the center of mass coordinate. We compute analytically the stationary probability and the moments of the center of mass coordinate. The scaling behaviour of the moments near the critical value of the control parameter $a_c(N)$ is determined. We identify a crossover from linear to square root scaling with increasing distance from $a_c$. The crossover point approaches $a_c$ in the limit $N \to \infty$ which reproduces previous results for infinite arrays. The results are obtained in both the Fokker-Planck and the Langevin approach and are corroborated by numerical simulations. For a general class of models we show that the transition manifold in the parameter space depends on $N$ and is determined by the scaling behaviour near a fixed point of the stochastic flow.
Altrock Philipp M.
Behn Ulrich
Senf Fabian
No associations
LandOfFree
Nonequilibrium phase transitions in finite arrays of globally coupled Stratonovich models: Strong coupling limit 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 Nonequilibrium phase transitions in finite arrays of globally coupled Stratonovich models: Strong coupling limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonequilibrium phase transitions in finite arrays of globally coupled Stratonovich models: Strong coupling limit will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-36663