Network theory of microscopic and macroscopic behavior of master equation systems

作者: J. Schnakenberg

DOI: 10.1103/REVMODPHYS.48.571

关键词:

摘要: … As pointed out above, we shall make use of some elementary concepts and facts of graph theory, particularly in Secs. III and VIII. Although we try to represent the mathematical …

参考文章(20)
F. Schlögl, On stability of steady states European Physical Journal A. ,vol. 243, pp. 303- 310 ,(1971) , 10.1007/BF01395916
F. Schl�gl, Chemical reaction models for non-equilibrium phase transitions European Physical Journal. ,vol. 253, pp. 147- 161 ,(1972) , 10.1007/BF01379769
S. Kullback, R. A. Leibler, On Information and Sufficiency Annals of Mathematical Statistics. ,vol. 22, pp. 79- 86 ,(1951) , 10.1214/AOMS/1177729694
R. Landauer, Fluctuations in Bistable Tunnel Diode Circuits Journal of Applied Physics. ,vol. 33, pp. 2209- 2216 ,(1962) , 10.1063/1.1728929
Terrell L. Hill, Igor W. Plesner, Studies in Irreversible Thermodynamics. II. A Simple Class of Lattice Models for Open Systems Journal of Chemical Physics. ,vol. 43, pp. 267- 285 ,(1965) , 10.1063/1.1696468
C. Hyver, Impossibility of existence of undamped oscillations in linear chemical systems Journal of Theoretical Biology. ,vol. 36, pp. 133- 138 ,(1972) , 10.1016/0022-5193(72)90182-8
Joel Keizer, On the solutions and the steady states of a master equation Journal of Statistical Physics. ,vol. 6, pp. 67- 72 ,(1972) , 10.1007/BF01023679
G.F. Oster, C.A. Desoer, Tellegen's theorem and thermodynamic inequalities Journal of Theoretical Biology. ,vol. 32, pp. 219- 241 ,(1971) , 10.1016/0022-5193(71)90162-7