caa a22 4500 467891273 CHVBK 20180406152750.0 cr unu---uuuuu 170328e20060901xx s 000 0 eng 10.1007/s10955-006-9181-0 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9181-0 Temporal Behavior of the Conditional and Gibbs' Entropies [Elektronische Daten] [Michael Mackey, Marta Tyran-Kamińska] We study the temporal approach to equilibrium of the Gibbs' and conditional entropies for stochastic systems in the presence of white noise. The conditional entropy will either remain constant or monotonically increase to its maximum of zero. However, the Gibbs' entropy may have a variety of patterns of approach to its final value ranging from a monotone increase or decrease to an oscillatory approach. We have illustrated all of these behaviors using examples in which both entropy dynamics can be determined analytically. Springer Science+Business Media, Inc., 2006 conditional entropy nationallicence Gibbs' entropy nationallicence asymptotic stability nationallicence Ornstein-Uhlenbeck process nationallicence noisy harmonic oscillator nationallicence Mackey Michael Departments of Physiology, Physics & Mathematics and Centre for Nonlinear Dynamics, McGill University, 3655 Promenade Sir William Osler, H3G 1Y6, Montreal, QC, Canada aut Tyran-Kamińska Marta Institute of Mathematics, Silesian University, ul. Bankowa 14, 40-007, Katowice, Poland aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/6(2006-09-01), 1443-1470 0022-4715 124:6<1443 2006 124 10955 https://doi.org/10.1007/s10955-006-9181-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9181-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mackey Michael Departments of Physiology, Physics & Mathematics and Centre for Nonlinear Dynamics, McGill University, 3655 Promenade Sir William Osler, H3G 1Y6, Montreal, QC, Canada aut NATIONALLICENCE 700 1- Tyran-Kamińska Marta Institute of Mathematics, Silesian University, ul. Bankowa 14, 40-007, Katowice, Poland aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/6(2006-09-01), 1443-1470 0022-4715 124:6<1443 2006 124 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer