DYNAMICAL ASPECTS OF TSALLIS ENTROPY

被引：60

作者：

PLASTINO, AR ^{[1
]}

PLASTINO, A ^{[1
]}

机构：

[1] NATL UNIV LA PLATA,FAC CIENCIAS ASTRON & GEOFIS,RA-1900 LA PLATA,ARGENTINA

来源：

PHYSICA A | 1994年 / 202卷 / 3-4期

关键词：

D O I：

10.1016/0378-4371(94)90470-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The description of the temporal evolution of some physical systems is tackled from an information theory view-point in which Tsallis' entropy is extremalized with the constraints posed by the knowledge of the generalized expectation values of a selected set of observables. The concomitant Tsallis density operator is shown to be a particular solution of von Neumann's equation and Tsallis' entropy is seen to provide one with a constant of the motion. The pertinent ideas are illustrated with reference to the Larmor precession.

引用

页码：438 / 448

页数：11

共 30 条

[1]

Aczel J., 1974, ADV APPL PROBAB, V6, P131, DOI [10.2307/1426210, DOI 10.2307/1426210]

[2] CONNECTION BETWEEN MAXIMAL ENTROPY AND SCATTERING THEORETIC ANALYSES OF COLLISION PROCESSES [J].

ALHASSID, Y ;

LEVINE, RD .

PHYSICAL REVIEW A, 1978, 18 (01) :89-116

[3] ENTROPY AND CHEMICAL CHANGE .3. MAXIMAL ENTROPY (SUBJECT TO CONSTRAINTS) PROCEDURE AS A DYNAMICAL THEORY [J].

ALHASSID, Y ;

LEVINE, RD .

JOURNAL OF CHEMICAL PHYSICS, 1977, 67 (10) :4321-4339

[4] TEMPORAL EVOLUTION IN AN EFFECTIVE HILBERT SUBSPACE [J].

ALIAGA, J ;

NEGRI, M ;

OTERO, D ;

PLASTINO, A ;

PROTO, AN .

PHYSICAL REVIEW A, 1987, 36 (07) :3427-3440

[5] ISING CHAIN IN THE GENERALIZED BOLTZMANN-GIBBS STATISTICS [J].

ANDRADE, RFS .

PHYSICA A, 1991, 175 (02) :285-292

[6]

[Anonymous], 2008, GALACTIC DYNAMICS, DOI DOI 10.1515/9781400828722

[7]

BAIERLIN R, 1967, ATOMS INFORMATION TH

[8]

Balian R., 1991, MICROPHYSICS MACROPH, VI and II

[9] THE R-NORM INFORMATION MEASURE [J].

BOEKEE, DE ;

VANDERLUBBE, JCA .

INFORMATION AND CONTROL, 1980, 45 (02) :136-155

[10]

CURADO EME, 1991, J PHYS A-MATH GEN, V24, P3187

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