Noise and Topology in Driven Systems - an Application to Interface Dynamics

Details Noise and Topology in Driven Systems - an Application to Interface Dynamics Noise and Topology in Driven Systems - an Application to Interface Dynamics

2011-05-11

arxiv.org/abs/1105.2219v2

Nonlinearity, volume 25, page 1427 (2012)

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1088/0951-7715/25/5/1427

Motivated by a stochastic differential equation describing the dynamics of interfaces, we study the bifurcation behavior of a more general class of such equations. These equations are characterized by a 2-dimensional phase space (describing the position of the interface and an internal degree of freedom). The noise accounts for thermal fluctuations of such systems. The models considered show a saddle-node bifurcation and have furthermore homoclinic orbits, i.e., orbits leaving an unstable fixed point and returning to it. Such systems display intermittent behavior. The presence of noise combined with the topology of the phase space leads to unexpected behavior as a function of the bifurcation parameter, i.e., of the driving force of the system. We explain this behavior using saddle point methods and considering global topological aspects of the problem. This then explains the non-monotonous force-velocity dependence of certain driven interfaces.

Affiliated with

Also associated with

No associations

Rating

Noise and Topology in Driven Systems - an Application to Interface Dynamics 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 Noise and Topology in Driven Systems - an Application to Interface Dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noise and Topology in Driven Systems - an Application to Interface Dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-611772