Nonunitary transformations and hydrodynamic limit in the one-dimensional hard-point gas

✍ Scribed by Yves Elskens

• Publisher: Elsevier Science
• Year: 1987
• Tongue: English
• Weight: 985 KB
• Volume: 142
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(87)90014-8

✦ Synopsis

The ergodic-theoretical formalism of nonunitary "A" transformations is compared with the derivation of kinetic equations by the hydrodynamic scaling limit. The one-dimensional hard-point system is used as an illustration.

Both methods rest on the K-mixing property of the physical systems considered. We show that the specific form of the operator A is important only on the microscopic time scale: on the macroscopic scale, it acts like a projector (with broken time-reversal symmetry). We also discuss the connection between the Kolmogorov-Sinai (K-S) entropy of the model dynamical system, the relative entropy production rate in the nonunitary formalism and the macroscopic entropy production rate. * Charg6 de recherches F.N.R.S.