An inequality for the deterministic motion of macrovariables

作者: R. G�rtz

DOI: 10.1007/BF01322162

关键词:

摘要: A set of conditions is formulated under which the deterministic motion evolves into direction non decreasing values suitably chosen probability distributions in limit large systems. In contrast to former treatment this derivation not restricted processes homogeneous time nor Markoffian processes. Some examples are presented.

参考文章(20)
F. Schl�gl, Zur statistischen Begründung der Onsagerschen Symmetrierelationen European Physical Journal. ,vol. 193, pp. 163- 173 ,(1966) , 10.1007/BF01326327
F. Schl�gl, Chemical reaction models for non-equilibrium phase transitions European Physical Journal. ,vol. 253, pp. 147- 161 ,(1972) , 10.1007/BF01379769
I. Prigogine, R. Lefever, Symmetry Breaking Instabilities in Dissipative Systems. II Journal of Chemical Physics. ,vol. 48, pp. 1695- 1700 ,(1968) , 10.1063/1.1668896
S. Kullback, R. A. Leibler, On Information and Sufficiency Annals of Mathematical Statistics. ,vol. 22, pp. 79- 86 ,(1951) , 10.1214/AOMS/1177729694
R. Görtz, A connection between deterministic motion and the steady-state probability distribution Physica A-statistical Mechanics and Its Applications. ,vol. 90, pp. 360- 363 ,(1978) , 10.1016/0378-4371(78)90122-X
R. Landauer, Fluctuations in Bistable Tunnel Diode Circuits Journal of Applied Physics. ,vol. 33, pp. 2209- 2216 ,(1962) , 10.1063/1.1728929
Claus Escher, On chemical reaction systems with exactly evaluable limit cycle oscillations Journal of Chemical Physics. ,vol. 70, pp. 4435- 4436 ,(1979) , 10.1063/1.437989
Kazuhiro Matsuo, Relaxation mode analysis of nonlinear birth and death processes Journal of Statistical Physics. ,vol. 16, pp. 169- 195 ,(1977) , 10.1007/BF01418750
Ryogo Kubo, Kazuhiro Matsuo, Kazuo Kitahara, Fluctuation and relaxation of macrovariables Journal of Statistical Physics. ,vol. 9, pp. 51- 96 ,(1973) , 10.1007/BF01016797