Consequences of Restricted Defect Diffusion on NMR and Dielectric Relaxation

1976 ◽  
Vol 31 (7) ◽  
pp. 693-696 ◽  
Author(s):  
R. Kimmich
Keyword(s):  
Diffusion Process ◽  
Dielectric Relaxation ◽  
Finite Length ◽  
Defect Diffusion ◽  
One Dimensional ◽  
Limited Diffusion ◽  
Reflecting Barriers ◽  
Nuclear Magnetic

Abstract Nuclear magnetic and dielectric relaxation formulas are given for a model of limited diffusion of defects. The limitation is introduced by the assumption of fixed reflecting barriers on both sides of the defect. The diffusion process is assumed to be one-dimensional and continuous. The effect of the finite length of the defects is included in the presented treatment.

Defect Diffusion Models in NMR and Dielectric Relaxation

1978 ◽  
Vol 33 (11) ◽  
pp. 1294-1306 ◽  
Author(s):  
Rainer Kimmich ◽  
Gerhard Voigt
Keyword(s):  
Diffusion Process ◽  
Dielectric Relaxation ◽  
Diffusion Models ◽  
Defect Concentration ◽  
Relaxation Behaviour ◽  
Defect Diffusion ◽  
Rotational Isomers ◽  
Mean Lifetime ◽  
The Mean

The effect of diffusing defects such as vacancies, displacements, torsions, and rotational isomers on the nmr and dielectric relaxation behaviour is treated under various aspects. The influences of the dimensionality of the diffusion process, of the mutual hindrance, of the defect concentration, of the defect length and of the mean lifetime are derived and discussed.

Solitons, defect diffusion, and dielectric relaxation of polymers

1980 ◽  
Vol 73 (8) ◽  
pp. 4022-4025 ◽  
Author(s):  
James L. Skinner ◽  
Peter G. Wolynes
Keyword(s):  
Dielectric Relaxation ◽  
Defect Diffusion

On the threshold strategies in optimal stopping problems for diffusion processes

2017 ◽  
Vol 54 (3) ◽  
pp. 963-969 ◽  
Author(s):  
Vadim Arkin ◽  
Alexander Slastnikov
Keyword(s):  
Diffusion Process ◽  
Optimal Stopping ◽  
Diffusion Processes ◽  
Sufficient Conditions ◽  
Payoff Function ◽  
Threshold Strategy ◽  
One Dimensional ◽  
Stopping Set ◽  
Optimal Stopping Problems ◽  
Necessary And Sufficient

Abstract We study a problem when the optimal stopping for a one-dimensional diffusion process is generated by a threshold strategy. Namely, we give necessary and sufficient conditions (on the diffusion process and the payoff function) under which a stopping set has a threshold structure.

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