ON ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF LIOUVILLE-VON NEUMANN EQUATION

被引：25

作者：

LANZ, L

LUGIATO, LA

机构：

[1] Istituto di Fisica dell'Università, Milano

[2] Istituto Nazionale di Fisica Nucleare, Sezione di Milano

[3] Istituto di Fisica dell'Università, Milano

来源：

PHYSICA | 1969年 / 44卷 / 04期

关键词：

D O I：

10.1016/0031-8914(69)90147-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The solution of the generalized master equation for a macroscopic insulated system is studied in the limit t → + ∞. Using the theory of holomorphic operators in finite-dimensional linear spaces, the spectral properties of the kernel of the G.M.E. are analyzed. It is shown that, under proper conditions, the asymptotic expectation values of the macro-observables are given by the microcanonical (or more generally poly-microcanonical) ensemble. © 1969.

引用

页码：532 / &

共 16 条

[1] VELOCITY INVERSION IN STATISTICAL MECHANICS [J].

BALESCU, R .

PHYSICA, 1967, 36 (03) :433-&

[2]

BALESCU R, 1968, PHYSICA, V38, P99

[3]

BAUS M, 1967, B CL SCI AC ROY BELG, V53, P1291

[4] PROPRIETES DE LOPERATEUR DE COLLISION PSEUDO-MARKOVIEN [J].

GEORGE, C .

PHYSICA, 1964, 30 (08) :1513-&

[5]

JANNER A, 1962, HELV PHYS ACTA, V25, P47

[6]

Kato T., 1966, PERTURBATION THEORY, V132, P396

[7]

LANZ L, TO APPEAR

[8] ZUR BEGRUNDUNG DER THERMODYNAMIK AUF GRUND DER QUANTEMECHANIK - TEIL I. MASTEREQUATION [J].

LUDWIG, G .

ZEITSCHRIFT FUR PHYSIK, 1963, 173 (02) :232-&

[9]

MUSKELISHWILI NI, 1953, SINGULAR INTEGRAL EQ

[10] IRREVERSIBLE PROCESSES IN GASES .2. THE EQUATIONS OF EVOLUTION [J].

PRIGOGINE, I ;

BALESCU, R .

PHYSICA, 1959, 25 (04) :302-323

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