General H-theorem and Entropies that Violate the Second Law
暂无分享,去创建一个
[1] G. Crooks. On Measures of Entropy and Information , 2015 .
[2] Ezra Miller,et al. A Geometric Approach to the Global Attractor Conjecture , 2013, SIAM J. Appl. Dyn. Syst..
[3] Alexander N. Gorban. Maxallent: Maximizers of all entropies and uncertainty of uncertainty , 2013, Comput. Math. Appl..
[4] Alexander N Gorban,et al. Thermodynamics in the limit of irreversible reactions , 2012, Physica A: Statistical Mechanics and its Applications.
[5] Alexander N Gorban,et al. Local equivalence of reversible and general Markov kinetics , 2013 .
[6] Alexander N. Gorban,et al. Thermodynamic Tree: The Space of Admissible Paths , 2012, SIAM J. Appl. Dyn. Syst..
[7] Fedor Nazarov,et al. Persistence and Permanence of Mass-Action and Power-Law Dynamical Systems , 2010, SIAM J. Appl. Math..
[8] Miroslav Grmela,et al. Fluctuations in extended mass-action-law dynamics , 2012 .
[9] V. Giovangigli,et al. Supercritical fluid thermodynamics from equations of state , 2012 .
[10] Imre Csiszár,et al. Generalized minimizers of convex integral functionals, Bregman distance, Pythagorean identities , 2012, Kybernetika.
[11] Friedrich Hasenöhrl,et al. Neuer Beweis zweier Sätze über das Wärmegleichgewicht unter mehratomigen Gasmolekülen , 2012 .
[12] Z. Tuza,et al. Finding weakly reversible realizations of chemical reaction networks using optimization , 2011, 1103.4741.
[13] Alexander N Gorban,et al. Extended detailed balance for systems with irreversible reactions , 2011, 1101.5280.
[14] G. Szederkényi,et al. Finding complex balanced and detailed balanced realizations of chemical reaction networks , 2010, 1010.4477.
[15] Muhammad Shahzad,et al. The Michaelis-Menten-Stueckelberg Theorem , 2010, Entropy.
[16] Alexander N Gorban. Kinetic path summation, multi-sheeted extension of master equation, and evaluation of ergodicity coefficient , 2010, 1006.4128.
[17] Robert H. Halstead,et al. Matrix Computations , 2011, Encyclopedia of Parallel Computing.
[18] V. Kolokoltsov. Nonlinear Markov Processes and Kinetic Equations , 2010 .
[19] Andrzej Cichocki,et al. Families of Alpha- Beta- and Gamma- Divergences: Flexible and Robust Measures of Similarities , 2010, Entropy.
[20] Katalin M. Hangos. Engineering Model Reduction and Entropy-based Lyapunov Functions in Chemical Reaction Kinetics , 2010, Entropy.
[21] Alexander N. Gorban,et al. Entropy: The Markov Ordering Approach , 2010, Entropy.
[22] Shun-ichi Amari,et al. Divergence, Optimization and Geometry , 2009, ICONIP.
[23] Sean P. Meyn. Control Techniques for Complex Networks: Workload , 2007 .
[24] Sang Joon Kim,et al. A Mathematical Theory of Communication , 2006 .
[25] gelehrter Gesellschaften. Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften in Wien , 2006, Naturwissenschaften.
[26] Alexander N. Gorban,et al. Thermodynamic Equilibria and Extrema: Analysis of Attainability regions and Partial Equilibrium , 2006 .
[27] Inderjit S. Dhillon,et al. Clustering with Bregman Divergences , 2005, J. Mach. Learn. Res..
[28] A. Gorban,et al. Invariant Manifolds for Physical and Chemical Kinetics , 2005 .
[29] JOEL E. COHEN,et al. Majorization , Monotonicity of Relative Entropy , and Stochastic Matrices , 2005 .
[30] Alexander N Gorban,et al. Uniqueness of thermodynamic projector and kinetic basis of molecular individualism , 2003, cond-mat/0309638.
[31] Alexander N Gorban,et al. Legendre integrators, post-processing and quasiequilibrium , 2003, cond-mat/0308488.
[32] J. Lebowitz,et al. On the (Boltzmann) entropy of non-equilibrium systems , 2003, cond-mat/0304251.
[33] Pavel Gorban. Monotonically equivalent entropies and solution of additivity equation , 2003 .
[34] Iliya V. Karlin,et al. Method of invariant manifold for chemical kinetics , 2003 .
[35] 阿部 純義,et al. Nonextensive statistical mechanics and its applications , 2001 .
[36] On Directional Convexity , 2001 .
[37] I. Csiszár,et al. Information projections revisited , 2000, 2000 IEEE International Symposium on Information Theory (Cat. No.00CH37060).
[38] Miroslav Grmela,et al. Dynamics and thermodynamics of complex fluids. I. Development of a general formalism , 1997 .
[39] Uriel G. Rothblum,et al. Directional-Quasi-Convexity, Asymmetric Schur-Convexity and Optimality of Consecutive Partitions , 1996, Math. Oper. Res..
[40] W. Ebeling. Stochastic Processes in Physics and Chemistry , 1995 .
[41] S. Kalpazidou. Cycle representations of Markov processes , 1995 .
[42] Domingo Morales,et al. A summary on entropy statistics , 1995, Kybernetika.
[43] Joel L. Lebowitz,et al. Boltzmann's Entropy and Time's Arrow , 1993 .
[44] Joel E. Cohen,et al. Relative entropy under mappings by stochastic matrices , 1993 .
[45] Richard L. Tweedie,et al. Markov Chains and Stochastic Stability , 1993, Communications and Control Engineering Series.
[46] Richard G. Compton,et al. Kinetic models of catalytic reactions , 1991 .
[47] C. Tsallis. Possible generalization of Boltzmann-Gibbs statistics , 1988 .
[48] Christian Zylka. A note on the attainability of states by equalizing processes , 1985 .
[49] R. Callen,et al. Thermodynamics and an Introduction to Thermostatistics, 2nd Edition , 1985 .
[50] V. N. Orlov,et al. The macrodynamics of open systems and the variational principle of the local potential—I , 1984 .
[51] Timothy R. C. Read,et al. Multinomial goodness-of-fit tests , 1984 .
[52] N. Kampen,et al. Stochastic processes in physics and chemistry , 1981 .
[53] I. Olkin,et al. Inequalities: Theory of Majorization and Its Applications , 1980 .
[54] Alexander N. Gorban. Invariant sets for kinetic equations , 1979 .
[55] Ingram Olkin,et al. Inequalities: Theory of Majorization and Its Application , 1979 .
[56] C. Bamford,et al. Comprehensive Chemical Kinetics , 1976 .
[57] M. Feinberg,et al. Dynamics of open chemical systems and the algebraic structure of the underlying reaction network , 1974 .
[58] J. Burg. THE RELATIONSHIP BETWEEN MAXIMUM ENTROPY SPECTRA AND MAXIMUM LIKELIHOOD SPECTRA , 1972 .
[59] R. Jackson,et al. General mass action kinetics , 1972 .
[60] Martin Feinberg,et al. On chemical kinetics of a certain class , 1972 .
[61] Harvey J. Greenberg,et al. A Review of Quasi-Convex Functions , 1971, Oper. Res..
[62] L. Bregman. The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming , 1967 .
[63] J. Ponstein,et al. Seven kinds of convexity , 1967 .
[64] E. T. Jaynes. Gibbs vs Boltzmann Entropies , 1965 .
[65] T. Morimoto. Markov Processes and the H -Theorem , 1963 .
[66] H. Callen. Thermodynamics and an Introduction to Thermostatistics , 1988 .