TY - JOUR
T1 - Large fluctuations and singular behavior of nonequilibrium systems
AU - Pinna, D.
AU - Kent, A. D.
AU - Stein, D. L.
N1 - Funding Information:
National Science Foundation http://dx.doi.org/10.13039/100000001 NSF http://sws.geonames.org/6252001 http://sws.geonames.org/6254928/ DMR-1309202 This research was supported in part by U.S. NSF Grant No. DMR-1309202. D.L.S. thanks the John Simon Guggenheim Foundation for a fellowship that partially supported this research, and NYU Paris and the Institut Henri Poincaré for their hospitality while part of this research was carried out. We thank Mark Dykman and Guido D''Amico for many useful conversations and comments on the manuscript.
Funding Information:
National Science Foundation http://dx.doi.org/10.13039/100000001 NSF http://sws.geonames.org/6252001 http://sws.geonames.org/6254928/ DMR-1309202 This research was supported in part by U.S. NSF Grant No. DMR-1309202. D.L.S. thanks the John Simon Guggenheim Foundation for a fellowship that partially supported this research, and NYU Paris and the Institut Henri Poincar? for their hospitality while part of this research was carried out. We thank Mark Dykman and Guido D''Amico for many useful conversations and comments on the manuscript.
Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/1/11
Y1 - 2016/1/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84954467798&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84954467798&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.93.012114
DO - 10.1103/PhysRevE.93.012114
M3 - Article
AN - SCOPUS:84954467798
SN - 1063-651X
VL - 93
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 1
M1 - 012114
ER -