Kinetic equation for an oscillator in a random external field

1971 ◽  
Vol 7 (6) ◽  
pp. 54-55 ◽  
Author(s):  
G. M. Zaslavskii
1985 ◽  
Vol 41 (1-2) ◽  
pp. 299-313 ◽  
Author(s):  
S. R. Salinas ◽  
W. F. Wreszinski

1995 ◽  
Vol 28 (13) ◽  
pp. 3657-3666 ◽  
Author(s):  
V S Pande ◽  
A Yu Grosberg ◽  
T Tanaka

1977 ◽  
Vol 32 (8) ◽  
pp. 844-852
Author(s):  
V. Dallacasa

Abstract A dielectric instability of a collection of charged fermions interacting via Coulomb forces and subjected to a random external field is pointed out. It is shown that, as a result of localization produced by the random potential, an RPA Coulomb field can generate a dielectric instability, both static or frequency dependent, resulting in a static or oscillating crystalline arrangement of the fermions. In simple metals, such as the alkali metals, this mechanism is shown to provide an explanation of the existence of the crystal lattice and of acoustic phonons.


2015 ◽  
Vol 90 (3) ◽  
pp. 035103 ◽  
Author(s):  
Youneng Guo ◽  
Maofa Fang ◽  
Shiyang Zhang ◽  
Xiang Liu

2003 ◽  
Vol 17 (30) ◽  
pp. 5781-5794 ◽  
Author(s):  
AZER KERIMOV

We consider one-dimensional models of classical statistical physics and prove that at each fixed value of the temperature for all realizations of additional sufficiently strong random external field the limiting Gibbs state is unique.


1975 ◽  
Vol 13 (1) ◽  
pp. 53-61 ◽  
Author(s):  
R. Balescu ◽  
J. H. Misguich

In close analogy with part 1, the dynamics of stochastic correlations is used to reformulate the preceding treatment of turbulent equations. The result is an exact and closed equation for an average function, involving only asymptotic stochastic correlations, and no initial fluctuation. This stochastic kinetic equation is valid for all initial conditions, and the corresponding function is a significant particular projection on an independent subspace R(t).


1991 ◽  
Vol 158 (9) ◽  
pp. 458-461 ◽  
Author(s):  
S.A. Trigger ◽  
P.P.J.M. Schram

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