Hopping conductivity of a one-dimensional bond-percolation model in a constant field: Exact solution

1984 ◽  
Vol 29 (8) ◽  
pp. 4679-4690 ◽  
Author(s):  
M. Khantha ◽  
V. Balakrishnan
Keyword(s):  
Exact Solution ◽  
Percolation Model ◽  
Bond Percolation ◽  
Constant Field ◽  
One Dimensional ◽  
Hopping Conductivity

Comment on “Exact solution of a one-dimensional continuum percolation model”

1997 ◽  
Vol 56 (5) ◽  
pp. 6206-6207 ◽  
Author(s):  
Luis A. Pugnaloni ◽  
Ricardo D. Gianotti ◽  
Fernando Vericat
Keyword(s):  
Exact Solution ◽  
Percolation Model ◽  
Continuum Percolation ◽  
One Dimensional

scholarly journals On a Generalization of One-Dimensional Kinetics

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1264
Author(s):  
Vladimir V. Uchaikin ◽  
Renat T. Sibatov ◽  
Dmitry N. Bezbatko
Keyword(s):  
Exact Solution ◽  
Asymptotic Behavior ◽  
Constant Velocity ◽  
Telegraph Equation ◽  
Material Derivative ◽  
Symmetric Random Walk ◽  
One Dimensional ◽  
Special Cases ◽  
Fractional Telegraph Equation ◽  
Asymmetric Case

One-dimensional random walks with a constant velocity between scattering are considered. The exact solution is expressed in terms of multiple convolutions of path-distributions assumed to be different for positive and negative directions of the walk axis. Several special cases are considered when the convolutions are expressed in explicit form. As a particular case, the solution of A. S. Monin for a symmetric random walk with exponential path distribution and its generalization to the asymmetric case are obtained. Solution of fractional telegraph equation with the fractional material derivative is presented. Asymptotic behavior of its solution for an asymmetric case is provided.

On Approximate Large Deviations for 1D Diffusion

2003 ◽  
Vol 10 (2) ◽  
pp. 381-399
Author(s):  
A. Yu. Veretennikov
Keyword(s):  
Differential Equation ◽  
Exact Solution ◽  
Large Deviations ◽  
Stochastic Differential Equation ◽  
Approximation Scheme ◽  
Sufficient Conditions ◽  
Rate Function ◽  
Euler Approximation ◽  
One Dimensional

Abstract We establish sufficient conditions under which the rate function for the Euler approximation scheme for a solution of a one-dimensional stochastic differential equation on the torus is close to that for an exact solution of this equation.

scholarly journals Phase transitions in a two-component site-bond percolation model

2000 ◽  
Vol 62 (13) ◽  
pp. 8719-8724 ◽  
Author(s):  
H. M. Harreis ◽  
W. Bauer
Keyword(s):  
Phase Transitions ◽  
Percolation Model ◽  
Bond Percolation ◽  
Two Component

An exact solution for one-dimensional unsteady nonlinear groundwater flow

Meccanica ◽  
1991 ◽  
Vol 26 (2-3) ◽  
pp. 129-133
Author(s):  
Vittorio di Federico
Keyword(s):  
Exact Solution ◽  
Groundwater Flow ◽  
One Dimensional

scholarly journals Theory of One-Dimensional Hopping Conductivity

1994 ◽  
Vol 115 ◽  
pp. 303-315 ◽  
Author(s):  
Takuma Ishikawa ◽  
Tadao Ishii
Keyword(s):  
One Dimensional ◽  
Hopping Conductivity
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