9 research outputs found
Dynamic principle for ensemble control tools.
Dynamical equations describing physical systems in contact with a thermal bath are commonly extended by mathematical tools called "thermostats." These tools are designed for sampling ensembles in statistical mechanics. Here we propose a dynamic principle underlying a range of thermostats which is derived using fundamental laws of statistical physics and ensures invariance of the canonical measure. The principle covers both stochastic and deterministic thermostat schemes. Our method has a clear advantage over a range of proposed and widely used thermostat schemes that are based on formal mathematical reasoning. Following the derivation of the proposed principle, we show its generality and illustrate its applications including design of temperature control tools that differ from the Nosé-Hoover-Langevin scheme
Global spatiotemporal order and induced stochastic resonance due to a locally applied signal
We study the phenomenon of spatiotemporal stochastic resonance (STSR) in a
chain of diffusively coupled bistable oscillators. In particular, we examine
the situation in which the \textit{global} STSR response is controlled by a
\textit{locally applied signal} and reveal a wave front propagation. In order
to deepen the understanding of the system dynamics, we introduce, on the time
scale of STSR, the study of the effective statistical renormalization of a
generic lattice system. Using this technique we provide a new criterion for
STSR, and predict and observe numerically a bifurcation-like behaviour that
reflects the difference between the most probable value of the local
quasi-equilibrium density and its mean value. Our results, tested with a chain
of nonlinear oscillators, appear to possess some universal qualities and may
stimulate a deeper search for more generic phenomenaComment: 10 pages, 4 figures (REVTeX4