Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-12-19
J. Phys. Soc. Jpn. 75 (2006) 033001
Physics
Condensed Matter
Statistical Mechanics
10 pages, 1 figure; accepted in J. Phys. Soc. Jpn. with minor changes
Scientific paper
10.1143/JPSJ.75.033001
Finite $N$-unit Langevin models with additive and multiplicative noises have been studied with the use of the augmented moment method (AMM) previously proposed by the author [H. Hasegawa, Phys. Rev E {\bf 67}, 041903 (2003)]. Original $N$-dimensional stochastic equations are transformed to the three-dimensional deterministic equations for means and fluctuations of local and global variables. Calculated results of our AMM are in good agreement with those of direct simulations (DS). We have shown that although the effective strength of the additive noise of the $N$-unit system is scaled as $\beta(N)=\beta(1)/\sqrt{N}$, it is not the case for multiplicative noise [$\alpha(N) \neq \alpha(1)/\sqrt{N}$], where $\alpha(N)$ and $\beta(N)$ denote the strength of multiplicative and additive noises, respectively, for the size-$N$ system. It has been pointed out that the naive assumption of $\alpha(N) = \alpha(1)/\sqrt{N}$ leads to result which violates the central-limit theorem and which does not agree with those of DS and AMM.
No associations
LandOfFree
$N$-dependent Multiplicative-Noise Contributions in Finite $N$-unit Langevin Models: Augmented Moment Approach 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 $N$-dependent Multiplicative-Noise Contributions in Finite $N$-unit Langevin Models: Augmented Moment Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $N$-dependent Multiplicative-Noise Contributions in Finite $N$-unit Langevin Models: Augmented Moment Approach will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-281029