Charged Particle in a Time-dependent Electric Field: A White Noise Functional Approach

2008 ◽  
Author(s):  
E. B. Gravador ◽  
J. B. Bornales ◽  
M. J. Liwanag ◽  
Christopher C. Bernido ◽  
M. Victoria Carpio-Bernido
Keyword(s):  
Charged Particle ◽  
Electric Field ◽  
White Noise ◽  
Functional Approach ◽  
Time Dependent ◽  
White Noise Functional

scholarly journals Stochastic boundary value problems: a white noise functional approach

1993 ◽  
Vol 95 (3) ◽  
pp. 391-419 ◽  
Author(s):  
Helge Holden ◽  
Tom Lindstr�m ◽  
Bernt �ksendal ◽  
Jan Ub�e ◽  
Tu-Sheng Zhang
Keyword(s):  
White Noise ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Functional Approach ◽  
White Noise Functional ◽  
Stochastic Boundary

Entanglement probabilities of polymers: a white noise functional approach

2003 ◽  
Vol 36 (15) ◽  
pp. 4247-4257 ◽  
Author(s):  
Christopher C Bernido ◽  
M Victoria Carpio-Bernido
Keyword(s):  
White Noise ◽  
Functional Approach ◽  
White Noise Functional

The fractional coupled KdV equations: Exact solutions and white noise functional approach

2013 ◽  
Vol 22 (8) ◽  
pp. 080501 ◽  
Author(s):  
Hossam A. Ghany ◽  
A. S. Okb El Bab ◽  
A. M. Zabel ◽  
Abd-Allah Hyder
Keyword(s):  
Exact Solutions ◽  
White Noise ◽  
Functional Approach ◽  
Kdv Equations ◽  
Coupled Kdv Equations ◽  
White Noise Functional

Delay coordinates: a sensitive indicator of nonlinear dynamics in single charged particle motion in magnetic reversals

1995 ◽  
Vol 13 (8) ◽  
pp. 836-842 ◽  
Author(s):  
S. C. Chapman ◽  
N. W. Watkins
Keyword(s):  
Charged Particle ◽  
Electric Field ◽  
Particle Motion ◽  
Relevant Information ◽  
Time Dependent ◽  
Static Case ◽  
Stochastic Motion ◽  
Large Numbers ◽  
Charged Particle Motion ◽  
Delay Coordinates

Abstract. The delay coordinate technique is examined as an indicator of the regime of particle dynamics for the system of single charged particle motion in magnetic reversals. Examples of numerically integrated trajectories in both static (zero electric field) and time dependent (corresponding nonzero induction electric field) simple models for magnetic reversals are considered. In the static case, the dynamics can in principle be directly classified by constructing Poincaré surfaces of section; here we demonstrate that whilst the Poincaré surface contains the relevant information to classify the dynamics, the corresponding delay coordinate plot can provide a far more sensitive indication of the onset of nonregular behaviour. In the case of nonperiodic time dependence considered here Poincaré plots cannot in general be constructed directly. Nevertheless, delay coordinate plots can still reveal details of the phase space portrait of the system, and here are shown to indicate whether segments of stochastic motion exist in a given trajectory. It is anticipated that the delay coordinate plot technique as realized here will be a valuable tool in characterizing the behaviour in large numbers of trajectories that are evolved in time-dependent systems, thereby giving us insight into the evolution of the distribution function as a whole, either in prescribed fields or in self-consistent numerical simulations.

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