Electronic Resource
Springer
Journal of statistical physics
41 (1985), S. 249-261
ISSN:
1572-9613
Keywords:
Stochastic dynamics
;
chaos
;
Lyapunov exponents
;
Monte Carlo
;
critical phenomena
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract It is shown that stochastic equations can have stable solutions. In particular, there exists stochastic dynamics for which the motion is both ergodic and stable, so that all trajectories merge with time. We discuss this in the context of Monte Carlo-type dynamics, and study the convergence of nearby trajectories as the number of degrees of freedom goes to infinity and as a critical point is approached. A connection with critical slowdown is suggested.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01020611
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