Onset of Singularities in the Pattern of Fluctuational Paths of a Nonequilibrium System

Details Onset of Singularities in the Pattern of Fluctuational Paths of a Nonequilibrium System Onset of Singularities in the Pattern of Fluctuational Paths of a Nonequilibrium System

2011-10-13

arxiv.org/abs/1110.2820v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 6 figures

Scientific paper

Fluctuations in systems away from thermal equilibrium have features that have no analog in equilibrium systems. One of such features concerns large rare excursions far from the stable state in the space of dynamical variables. For equilibrium systems, the most probable fluctuational trajectory to a given state is related to the fluctuation-free trajectory back to the stable state by time reversal. This is no longer true for nonequilibrium systems, where the pattern of the most probable trajectories generally displays singularities. Here we study how the singularities emerge as the system is driven away from equilibrium, and whether a driving strength threshold is required for their onset. Using a resonantly modulated oscillator as a model, we identify two distinct scenarios, depending on the speed of the optimal path in thermal equilibrium. If the position away from the stable state along the optimal path grows exponentially in time, the singularities emerge without a threshold. We find the scaling of the location of the singularities as a function of the control parameter. If the growth away from the stable state is faster than exponential, characterized by the ability to reach infinity in finite time, there is a threshold for the onset of singularities, which we study for the model.

Affiliated with

Also associated with

No associations

Rating

Onset of Singularities in the Pattern of Fluctuational Paths of a Nonequilibrium System 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 Onset of Singularities in the Pattern of Fluctuational Paths of a Nonequilibrium System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Onset of Singularities in the Pattern of Fluctuational Paths of a Nonequilibrium System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-498487