Large fluctuations and singular behavior of nonequilibrium systems

作者：Pinna, D^*; Kent, A D; Stein, D L

来源：Physical Review E, 2016, 93(1): 012114.

DOI：10.1103/PhysRevE.93.012114

• Caustic singularities
• Escape trajectories
• Experimental parameters
• Geometrical approaches
• Meta-stable state
• Nonequilibrium system
• Singular behavior
• Spin transfer torque

We present a general geometrical approach to the problem of escape from a metastable state in the presence of noise. The accompanying analysis leads to a simple condition, based on the norm of the drift field, for determining whether caustic singularities alter the escape trajectories when detailed balance is absent. We apply our methods to systems lacking detailed balance, including a nanomagnet with a biaxial magnetic anisotropy and subject to a spin-transfer torque. The approach described within allows determination of the regions of experimental parameter space that admit caustics.

• 出版日期2016-1-11
• 单位华东师范大学