Asymptotic properties of Markovian master equations

[1]  C. Broeck,et al.  Chapman-Enskog development of the multivariate master equation , 1980 .

[2]  G. Nicolis,et al.  Systematic analysis of the multivariate master equation for a reaction-diffusion system , 1980 .

[3]  C. Broeck,et al.  Stochastic hydrodynamic theory for one-component systems , 1980 .

[4]  C. Broeck,et al.  Fluctuating kinetic equation for a two-component Boltzmann gas , 1979 .

[5]  C. Gardiner.  A stochastic basis for isothermal equilibrium and nonequilibrium chemical thermodynamics , 1979 .

[6]  P. Tombesi,et al.  The decay of an unstable equilibrium state near a “critical point” , 1979 .

[7]  K. Binder,et al.  Nonlinear relaxation at first-order phase transitions: A Ginzburg-Landau theory including fluctuations , 1979 .

[8]  Mohammad-Ali Malek-Mansour,et al.  A new approximation scheme for the study of fluctuations in nonuniform nonequilibrium systems , 1979 .

[9]  Grégoire Nicolis,et al.  EFFECT OF FLUCTUATIONS ON BIFURCATION PHENOMENA , 1979 .

[10]  W. Ebeling.  Non-equilibrium transitions and stationary probability distributions of stochastic processes , 1978 .

[11]  W. Ebeling,et al.  Deterministic and stochastic theory of sustained oscillations in autocatalytic reaction systems , 1978 .

[12]  C. Gardiner,et al.  The poisson representation. II Two-time correlation functions , 1978 .

[13]  P. Ortoleva,et al.  Generalized nonlinear master equations for local fluctuations: Dimensionality expansions and augmented mean field theory , 1978 .

[14]  C. Gardiner,et al.  The poisson representation. I. A new technique for chemical master equations , 1977 .

[15]  Léon Brenig,et al.  Non-linear Fokker-Planck equation as an asymptotic representation of the master equation , 1977 .

[16]  G. Dewel.  The dynamical longitudinal correlation function of the Heisenberg model at low temperature II. The hydrodynamic regime , 1977 .

[17]  Werner Horsthemke,et al.  On the diffusion operator of the multivariate master equation , 1977 .

[18]  G. Nicolis,et al.  Stochastic analysis of a nonequilibrium phase transition: Some exact results , 1977 .

[19]  G. Dewel,et al.  Renormalization group approach to chemical instabilities , 1977 .

[20]  W. Horsthemke,et al.  A stochastic approach to the kinetic theory of gases , 1977 .

[21]  N. Kampen,et al.  A soluble model for diffusion in a bistable potential , 1977 .

[22]  George H. Weiss,et al.  Stochastic theory of nonlinear rate processes with multiple stationary states , 1977 .

[23]  W. Horsthemke,et al.  Mean-field theory of critical behaviour and first order transition: A comparison between the Master Equation and the nonlinear Fokker-Planck equation , 1977 .

[24]  K. Matsuo.  Relaxation mode analysis of nonlinear birth and death processes , 1977 .

[25]  C. Gardiner.  A comment on chemical Langevin equations , 1976 .

[26]  S. Grossmann.  Langevin forces in chemically reacting multicomponent fluids , 1976 .

[27]  K. McNeil,et al.  Correlations in stochastic theories of chemical reactions , 1976 .

[28]  H. Haken.  Statistical physics of bifurcation, spatial structures, and fluctuations of chemical reactions , 1975 .

[29]  H. Mori.  Stochastic Processes of Macroscopic Variables , 1975 .

[30]  N. G. Kampen.  Fluctuations in Boltzmann's equation , 1974 .

[31]  Takao Ohta,et al.  Irreversible Circulation and Orbital Revolution Hard Mode Instability in Far-from-Equilibrium Situation , 1974 .

[32]  Abraham Nitzan,et al.  Fluctuations and transitions at chemical instabilities: The analogy to phase transitions , 1974 .

[33]  Y. Kuramoto.  Renormalization Group Theory of Dynamic Critical Phenomena , 1974 .

[34]  R. Kubo,et al.  Fluctuation and relaxation of macrovariables , 1973 .

[35]  F. Schlögl.  Chemical reaction models for non-equilibrium phase transitions , 1972 .

[36]  R. Glauber.  Time‐Dependent Statistics of the Ising Model , 1963 .

[37]  N. Kampen,et al.  a Power Series Expansion of the Master Equation , 1961 .

[38]  W. Feller.  An Introduction to Probability Theory and Its Applications , 1959 .

[39]  I. Prigogine.  Le domaine de validit? de la thermodynamique des ph?nom?nes irr?versibles , 1949 .

[40]  G. Dewel,et al.  Fluctuations near nonequilibrium phase transitions to nonuniform states , 1980 .

[41]  R. Mazo,et al.  Some comments on nonequilibrium phase transitions in chemical systems , 1978 .

[42]  Masuo Suzuki.  Scaling theory of transient phenomena near the instability point , 1977 .

[43]  M. Kac,et al.  Fluctuations and the Boltzmann equation. I , 1976 .

[44]  Grégoire Nicolis,et al.  Long range correlations and the onset of chemical instabilities , 1976 .

[45]  T. Kurtz.  Limit theorems and diffusion approximations for density dependent Markov chains , 1976 .

[46]  K. M. V. Vliet.  Markov Approach to Density Fluctuations Due to Transport and Scattering. I. Mathematical Formalism , 1971 .