scholarly journals Quantum chaotic scattering in time-dependent external fields: random matrix approach

2005 ◽  
Vol 38 (49) ◽  
pp. 10587-10611 ◽  
Author(s):  
Maxim G Vavilov
Keyword(s):  
Random Matrix ◽  
Time Dependent ◽  
Matrix Approach ◽  
External Fields ◽  
Chaotic Scattering

scholarly journals Time delay correlations in chaotic scattering: random matrix approach

1995 ◽  
Vol 86 (4) ◽  
pp. 572-585 ◽  
Author(s):  
N. Lehmann ◽  
D.V. Savin ◽  
V.V. Sokolov ◽  
H.-J. Sommers
Keyword(s):  
Time Delay ◽  
Random Matrix ◽  
Matrix Approach ◽  
Chaotic Scattering

Kinetic equations for plasmas subjected to a strong time-dependent extenal field. Part 2. The weak-interaction approximation

1974 ◽  
Vol 11 (3) ◽  
pp. 377-387 ◽  
Author(s):  
R. Balescu ◽  
J. H. Misguich
Keyword(s):  
Kinetic Equation ◽  
General Theory ◽  
Weak Interaction ◽  
Weak Coupling ◽  
Kinetic Equations ◽  
Time Dependent ◽  
External Fields ◽  
Interaction Approximation

The general theory developed in part 1 is illustrated for a plasma described by the weak-coupling (Landau) approximation. The kinetic equation, valid for arbitrarily strong external fields, is written out explicitly.

A random matrix approach to RNA folding with interaction

Pramana ◽  
2009 ◽  
Vol 73 (3) ◽  
pp. 533-541 ◽  
Author(s):  
I. Garg ◽  
N. Deo
Keyword(s):  
Random Matrix ◽  
Rna Folding ◽  
Matrix Approach

CHAOTIC SCATTERING IN TIME-DEPENDENT HAMILTONIAN SYSTEMS

1991 ◽  
Vol 01 (03) ◽  
pp. 667-679 ◽  
Author(s):  
YING-CHENG LAI ◽  
CELSO GREBOGI
Keyword(s):  
Phase Space ◽  
Measure Zero ◽  
Invariant Set ◽  
Time Dependent ◽  
Invariant Sets ◽  
Physical Origin ◽  
Chaotic Scattering ◽  
Periodic Oscillations ◽  
Surface Of Section ◽  
Oscillating Potential

We consider the classical scattering of particles in a one-degree-of-freedom, time-dependent Hamiltonian system. We demonstrate that chaotic scattering can be induced by periodic oscillations in the position of the potential. We study the invariant sets on a surface of section for different amplitudes of the oscillating potential. It is found that for small amplitudes, the phase space consists of nonescaping KAM islands and an escaping set. The escaping set is made up of a nonhyperbolic set that gives rise to chaotic scattering and remains of KAM islands. For large amplitudes, the phase space contains a Lebesgue measure zero invariant set that gives rise to chaotic scattering. In this regime, we also discuss the physical origin of the Cantor set responsible for the chaotic scattering and calculate its fractal dimension.

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