Equilibrium properties of classical systems with long-range forces. BBGKY equation, neutrality, screening, and sum rules

1980 ◽  
Vol 22 (2) ◽  
pp. 193-236 ◽  
Author(s):  
Ch. Gruber ◽  
Ch. Lugrin ◽  
Ph. A. Martin
Keyword(s):  
Long Range ◽  
Sum Rules ◽  
Classical Systems ◽  
Bbgky Equation

scholarly journals Time evolution of infinite classical systems with singular, long range, two body interactions

1976 ◽  
Vol 47 (1) ◽  
pp. 81-95 ◽  
Author(s):  
Errico Presutti ◽  
Mario Pulvirenti ◽  
Brunello Tirozzi
Keyword(s):  
Time Evolution ◽  
Long Range ◽  
Classical Systems

Entropy of Classical Systems with Long-Range Interactions

2005 ◽  
Vol 95 (19) ◽  
Author(s):  
T. M. Rocha Filho ◽  
A. Figueiredo ◽  
M A. Amato
Keyword(s):  
Long Range ◽  
Classical Systems ◽  
Long Range Interactions

scholarly journals Nonextensive statistical mechanics: a brief review of its present status

2002 ◽  
Vol 74 (3) ◽  
pp. 393-414 ◽  
Author(s):  
CONSTANTINO TSALLIS
Keyword(s):  
Statistical Mechanics ◽  
Long Range ◽  
Present Status ◽  
A Priori ◽  
Many Body ◽  
Nonextensive Statistical Mechanics ◽  
Physical Systems ◽  
Classical Systems ◽  
Low Dimensional ◽  
Entropic Index

We briefly review the present status of nonextensive statistical mechanics. We focus on (i) the central equations of the formalism, (ii) the most recent applications in physics and other sciences, (iii) the a priori determination (from microscopic dynamics) of the entropic index q for two important classes of physical systems, namely low-dimensional maps (both dissipative and conservative) and long-range interacting many-body hamiltonian classical systems.

A Perturbation Theory for the Population of Atomic Energy Levels in Non-Lte Plasmas

1988 ◽  
Vol 102 ◽  
pp. 343-347
Author(s):  
M. Klapisch
Keyword(s):  
Perturbation Theory ◽  
Small Parameter ◽  
Classification Scheme ◽  
Sum Rules ◽  
Energy Levels ◽  
Natural Classification ◽  
Quantum Numbers ◽  
Formal Expansion ◽  
Atomic Energy Levels ◽  
As Effects

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

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