Noise-induced front motion: signature of a global bifurcation.

We show that front motion can be induced by noise in a spatially extended excitable system with a global constraint. Our model system is a semiconductor superlattice exhibiting complex dynamics of electron accumulation and depletion fronts. The presence of noise induces a global change in the dynamics of the system forcing stationary fronts to move through the entire device. We demonstrate the effect of coherence resonance in our model; i.e., there is an optimal level of noise at which the regularity of front motion is enhanced. Physical insight is provided by relating the space-time dynamics of the fronts with a phase-space analysis.

[1]  J. Kurths,et al.  Coherence Resonance in a Noise-Driven Excitable System , 1997 .

[2]  J. M. Sancho,et al.  Noise in spatially extended systems , 1999 .

[3]  Y. Blanter,et al.  Shot noise in mesoscopic conductors , 1999, cond-mat/9910158.

[4]  W. van Saarloos,et al.  Morphological instability and dynamics of fronts in bacterial growth models with nonlinear diffusion. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  E. Schöll,et al.  Bifurcations in a System of Interacting Fronts , 2005 .

[6]  L. Bonilla,et al.  Non-linear dynamics of semiconductor superlattices , 2005 .

[7]  Yuo-Hsien Shiau,et al.  Boundary effect induced nonhysteretic transition caused by saddle-node bifurcation on a limit cycle in n-GaAs , 1996 .

[8]  Eckehard Schöll,et al.  Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors , 2001 .

[9]  Leroy L. Chang,et al.  New Transport Phenomenon in a Semiconductor "Superlattice" , 1974 .

[10]  A. Amann,et al.  Chaotic front dynamics in semiconductor superlattices , 2001, cond-mat/0112215.

[11]  Eckehard Schöll,et al.  Bifurcation analysis of stationary and oscillating domains in semiconductor superlattices with doping fluctuations , 1998 .

[12]  Galán,et al.  Self-oscillations of domains in doped GaAs-AlAs superlattices. , 1995, Physical review. B, Condensed matter.

[13]  E Schöll,et al.  Hybrid model for chaotic front dynamics: from semiconductors to water tanks. , 2003, Physical review letters.

[14]  A. Wacker Semiconductor superlattices: a model system for nonlinear transport , 2001, cond-mat/0107207.

[15]  A. Longtin AUTONOMOUS STOCHASTIC RESONANCE IN BURSTING NEURONS , 1997 .

[16]  Alexander S. Mikhailov,et al.  Foundations of Synergetics II , 1990 .

[17]  Ekkehard Schomburg,et al.  High-frequency self-sustained current oscillation in an Esaki-Tsu superlattice monitored via microwave emission , 1996 .

[18]  H. Haken,et al.  Stochastic resonance without external periodic force. , 1993, Physical review letters.

[19]  P. Holmes,et al.  Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields , 1983, Applied Mathematical Sciences.

[20]  E. Schöll,et al.  Tripole current oscillations in superlattices , 2002 .