TY - JOUR
T1 - The quasideterministic approach in the dynamical characterization of rotating unstable systems
AU - Jiménez-Aquino, J. I.
AU - Romero-Bastida, M.
N1 - Funding Information:
The authors wish to thank the comments and suggestions of Professor E. Piña about some of the properties of the antisymmetric matrices, which have been published in Ref. [8] . Financial support from Consejo Nacional de Ciencia y Tecnologı́a (CONACYT) México is also acknowledged.
PY - 2001/3/15
Y1 - 2001/3/15
N2 - In this work, we report a new theoretical scheme to deal with the dynamical characterization of rotating unstable systems driven by both internal noise and constant external force. We use the quasideterministic (QD) approach and the passage time (PT) distribution to characterize the dynamical relaxation of systems of two and three variables and show that, in this new scheme, the validity regime of QD approach is satisfied only if the intensity of external force is smaller than or of the same order as the internal noise. For the systems of three variables, a special mathematical approach is given for a better understanding of underlying physics. Numerical simulation results are given to support our proposal.
AB - In this work, we report a new theoretical scheme to deal with the dynamical characterization of rotating unstable systems driven by both internal noise and constant external force. We use the quasideterministic (QD) approach and the passage time (PT) distribution to characterize the dynamical relaxation of systems of two and three variables and show that, in this new scheme, the validity regime of QD approach is satisfied only if the intensity of external force is smaller than or of the same order as the internal noise. For the systems of three variables, a special mathematical approach is given for a better understanding of underlying physics. Numerical simulation results are given to support our proposal.
KW - Passage times
KW - Quasideterministic approach
KW - Stochastic process
UR - http://www.scopus.com/inward/record.url?scp=0343462457&partnerID=8YFLogxK
U2 - 10.1016/S0378-4371(00)00550-1
DO - 10.1016/S0378-4371(00)00550-1
M3 - Artículo
SN - 0378-4371
VL - 292
SP - 153
EP - 166
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -