scholarly journals Two interacting particles in a random potential: mapping onto one parameter localization theories without interaction

1997 ◽  
Vol 102 (2) ◽  
pp. 261-275 ◽  
Author(s):  
Klaus Frahm ◽  
Axel Müller-Groeling ◽  
Jean-Louis Pichard
Keyword(s):  
Random Potential ◽  
Interacting Particles ◽  
Potential Mapping ◽  
Parameter Localization

scholarly journals Effect of noise for two interacting particles in a random potential

1996 ◽  
Vol 35 (7) ◽  
pp. 517-522 ◽  
Author(s):  
F Borgonovi ◽  
D. L Shepelyansky
Keyword(s):  
Random Potential ◽  
Interacting Particles

scholarly journals Comment on “No Enhancement of the Localization Length for Two Interacting Particles in a Random Potential”

1997 ◽  
Vol 78 (25) ◽  
pp. 4889-4889 ◽  
Author(s):  
Klaus Frahm ◽  
Axel Müller-Groeling ◽  
Jean-Louis Pichard ◽  
Dietmar Weinmann
Keyword(s):  
Random Potential ◽  
Localization Length ◽  
Interacting Particles

Evolution of Burgers' turbulence in the presence of external forces

1997 ◽  
Vol 331 ◽  
pp. 313-343 ◽  
Author(s):  
A. I. SAICHEV ◽  
W. A. WOYCZYNSKI
Keyword(s):  
Force Field ◽  
Random Potential ◽  
Solution Algorithm ◽  
Inviscid Limit ◽  
Necessary Condition ◽  
Interacting Particles ◽  
Least Action ◽  
Burgers Turbulence ◽  
Physical Level ◽  
External Forces

Statistical properties of multidimensional Burgers' turbulence evolving in the presence of a force field with random potential, which is delta-correlated in time and smooth in space, are studied in the inviscid limit and at the physical level of rigorousness. The solution algorithm reduces to finding multistream fields describing the motion of an auxiliary gas of interacting particles in a force field. Consequently, the statistical description of forced Burgers' turbulence is obtained by finding the largest possible value of the least action for the auxiliary gas. The exponential growth of the number of streams is found to be a necessary condition for the existence of stationary regimes.

scholarly journals Breit-Wigner Width for Two Interacting Particles in a One-Dimensional Random Potential

1997 ◽  
Vol 78 (5) ◽  
pp. 923-926 ◽  
Author(s):  
Ph. Jacquod ◽  
D. L. Shepelyansky ◽  
O. P. Sushkov
Keyword(s):  
Random Potential ◽  
Interacting Particles ◽  
One Dimensional

scholarly journals Two interacting particles in a random potential

JETP Letters ◽  
2011 ◽  
Vol 94 (5) ◽  
pp. 406-412 ◽  
Author(s):  
D. O. Krimer ◽  
R. Khomeriki ◽  
S. Flach
Keyword(s):  
Random Potential ◽  
Interacting Particles
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