Behavior Of Dissipative Systems Research Articles

Analysis of various soliton pulsation spectro-temporal dynamics in anomalous dispersion fiber laser

In this paper, we studied the effects of the output ratio and small-signal gain on soliton pulsation by modeling the anomalous dispersion carbon nanotube mode-locked fiber laser. Under different parameters, in addition to the conventional soliton pulsation, we also observed the soliton pulsation with obvious Kelly sideband and the soliton pulsation with soliton splitting. And we found the explosive-like soliton pulsation, which exhibits the time shift caused by soliton explosion. Specially, we observed the novel creeping vibrating soliton molecules that has creeping behavior in time-domain but vibrating behavior in spectral evolution. These findings can shed new insights into the soliton complex nonlinear behavior in dissipative systems.

On the behavior of dissipative systems in contact with a heat bath: Application to Andrade creep

We develop a theory of statistical mechanics for dissipative systems governed by equations of evolution that assigns probabilities to individual trajectories of the system. The theory is made mathematically rigorous and leads to precise predictions regarding the behavior of dissipative systems at finite temperature. Such predictions include the effect of temperature on yield phenomena and rheological time exponents. The particular case of an ensemble of dislocations moving in a slip plane through a random array of obstacles is studied numerically in detail. The numerical results bear out the analytical predictions regarding the mean response of the system, which exhibits Andrade creep.

Trajectory Instabilities and Stochastic Behavior in Dissipative Systems with Multiple Steady States

Trajectory Instabilities and Stochastic Behavior in Dissipative Systems with Multiple Steady States