Local equivalence of reversible and general Markov kinetics
作者： Alexander N. Gorban
DOI: 10.1016/J.PHYSA.2012.11.028
关键词:
摘要: a b s t r c We consider continuous-time Markov kinetics with finite number of states and positive equilibrium P ∗ . This class systems is significantly wider than the detailed
harvard.edu
arxiv.org
elsevier.com
le.ac.uk 
sci-hub.se 参考文章(39)
Boris M. Kaganovich, V Keiko Alexander, Igor A. Shirkalin, A Shamansky Vitaly, Sergey P. Filippov, Alexander N. Gorban, Thermodynamic Equilibria and Extrema: Analysis of Attainability regions and Partial Equilibrium Springer. ,(2006)
Peter J. Huber, Introduction to Metropolis, Rosenbluth, Rosenbluth, Teller, and Teller (1953) Equations of State Calculations by Fast Computing Machines. J. Chem. Phys .,21, 1087–1092. and Geman and Geman (1984) Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images. IEEE Trans. Pattern Anal. Machine Intelligence ,6, 721–741. Springer, New York, NY. pp. 123- 139 ,(1997) , 10.1007/978-1-4612-0667-5_6
Sophia L Kalpazidou, Cycle representations of Markov processes ,(1995)
Ingo Müller, Wolfgang H. Müller, Thermodynamics of irreversible processes Springer Berlin Heidelberg. pp. 233- 272 ,(2007) , 10.1007/978-3-540-74648-5_13
David S. Dean, Alexandre Lefèvre, Possible test of the thermodynamic approach to granular media. Physical Review Letters. ,vol. 90, pp. 198301- ,(2003) , 10.1103/PHYSREVLETT.90.198301
Konstantin S. Turitsyn, Michael Chertkov, Marija Vucelja, Irreversible Monte Carlo algorithms for efficient sampling Physica D: Nonlinear Phenomena. ,vol. 240, pp. 410- 414 ,(2011) , 10.1016/J.PHYSD.2010.10.003
P Grassberger, A de la Torre, Reggeon field theory (Schlögl's first model) on a lattice: Monte Carlo calculations of critical behaviour Annals of Physics. ,vol. 122, pp. 373- 396 ,(1979) , 10.1016/0003-4916(79)90207-0
Krzysztof Kowalski, Universal formats for nonlinear dynamical systems Chemical Physics Letters. ,vol. 209, pp. 167- 170 ,(1993) , 10.1016/0009-2614(93)87218-R
C. T. Rettner, E. K. Schweizer, C. B. Mullins, Desorption and trapping of argon at a 2H–W(100) surface and a test of the applicability of detailed balance to a nonequilibrium system The Journal of Chemical Physics. ,vol. 90, pp. 3800- 3813 ,(1989) , 10.1063/1.455838
Ralf Markus Eiswirth, Katharina Krischer, Gerhard Ertl, Nonlinear dynamics in the CO-oxidation on Pt single crystal surfaces Applied Physics A. ,vol. 51, pp. 79- 90 ,(1990) , 10.1007/BF00324269