1982
DOI: 10.1088/0022-3719/15/6/017
|View full text |Cite
|
Sign up to set email alerts
|

Electron diffusion in bond-disordered media

Abstract: A theory of electron motion over randomly situated centres is developed. The electron binding energy in the centres is assumed to be constant. By means of the concepts developed in percolation theory all the centres can be separated into two groups. The first group makes a diffusion cluster responsible for the macroscopic transport. The second group of centres, i.e. isolated centres plays the role of the sources owing to their electron exchange with the first type of centre. A modified diffusion equation is de… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
4
0

Year Published

1985
1985
2015
2015

Publication Types

Select...
7
1

Relationship

0
8

Authors

Journals

citations
Cited by 19 publications
(4 citation statements)
references
References 20 publications
0
4
0
Order By: Relevance
“…cides in form with the equation obtained in [34] within the percolation model. The integration of Eq.…”
Section: Multiple Trapping On a Comb Structurementioning
confidence: 99%
See 1 more Smart Citation
“…cides in form with the equation obtained in [34] within the percolation model. The integration of Eq.…”
Section: Multiple Trapping On a Comb Structurementioning
confidence: 99%
“…For the continuous time random walk model on the comb structure, solving the equation (32) and substituting the solution (33) into the Laplace transform of the formula for the tran sient current expressed in terms of the total concentra tion, (34) we obtain the transform (35) In the case of the combination of waiting time distri butions in the long time asymptotic expression, we have Figure 2 shows transient current curves I(t) for the case of the transport over the comb structure through multiple trapping in localized states with the exponen tial and Gaussian densities (E = 10 6 V/cm, L = 1 μm). These dependences were calculated by inverting func tion (30).…”
Section: Kinetics Of the Current In A Time Of Flight Experimentsmentioning
confidence: 99%
“…The study of motion in rugged energy landscapes is relevant in a number of contexts [ 1,2]. Examples include models for dc [3][4][5] and ac conduction in disordered solids [6][7][8][9], protein dynamics [10][11][12], viscous flow of liquids close to the glass transition [ 13,14], diffusion in random flows [ 15], or rate processes controlled by the anomalous diffusion of reactants [16][17][18][19][20]. Usually, the complexity of a system is represented by some sort of randomness of the energy landscape.…”
Section: Introductionmentioning
confidence: 99%
“…Examples include models for dc [3][4][5] and ac conduction in disordered solids [6][7][8][9], protein dynamics [10][11][12], viscous flow of liquids close to the glass transition [ 13,14], diffusion in random flows [ 15], or rate processes controlled by the anomalous diffusion of reactants [16][17][18][19][20]. Usually, the complexity of a system is represented by some sort of randomness of the energy landscape.…”
Section: Introductionmentioning
confidence: 99%