Localization in one-dimensional disordered systems with electric field: An analytical approach

1987 ◽  
Vol 36 (6) ◽  
pp. 3002-3006 ◽  
Author(s):  
Dar̆o Castello ◽  
Alfredo Caro ◽  
Arturo López
Keyword(s):  
Electric Field ◽  
Disordered Systems ◽  
Analytical Approach ◽  
One Dimensional

Fractal wavefunctions in one-dimensional disordered systems with an electric field

1989 ◽  
Vol 1 (5) ◽  
pp. 901-905 ◽  
Author(s):  
G Mato ◽  
A Caro
Keyword(s):  
Electric Field ◽  
Disordered Systems ◽  
One Dimensional

Electric-field-dependent resistance moments in one-dimensional disordered systems

1989 ◽  
Vol 39 (13) ◽  
pp. 9636-9639 ◽  
Author(s):  
J. Heinrichs
Keyword(s):  
Electric Field ◽  
Disordered Systems ◽  
One Dimensional ◽  
Field Dependent

MULTIAFFINE SCALING IN ONE-DIMENSIONAL DISORDERED SYSTEMS

1995 ◽  
Vol 09 (03n04) ◽  
pp. 217-227
Author(s):  
SUSIL K. MANNA ◽  
CHAITALI BASU ◽  
ABHIJIT MOOKERJEE
Keyword(s):  
Electric Field ◽  
External Electric Field ◽  
Disordered Systems ◽  
One Dimensional ◽  
Internal Structures ◽  
Large Fluctuations ◽  
Different Types ◽  
Unified Description

The multiaffine analysis is used to study the internal structures of the transmittance in three different cases: a homogeneous random chain in the mesoscopic regime, an inhomogeneous random chain and a random chain in the presence of an external electric field. We find large fluctuations of transmittance in all three different types of systems and these obey anisotropic multiaffine scaling. This method provides a unified description of transmittance fluctuations in very different systems.

Electric-field-dependent average resistance and the resistance fluctuation in one-dimensional disordered systems

1987 ◽  
Vol 35 (4) ◽  
pp. 2029-2032 ◽  
Author(s):  
G. V. Vijayagovindan ◽  
A. M. Jayannavar ◽  
N. Kumar
Keyword(s):  
Electric Field ◽  
Disordered Systems ◽  
One Dimensional ◽  
Average Resistance ◽  
Field Dependent

scholarly journals Localization in One-Dimensional Disordered Systems in the Presence of an Electric Field

1983 ◽  
Vol 50 (10) ◽  
pp. 764-767 ◽  
Author(s):  
C. M. Soukoulis ◽  
Jorge V. José ◽  
E. N. Economou ◽  
Ping Sheng
Keyword(s):  
Electric Field ◽  
Disordered Systems ◽  
One Dimensional

Multi-fractal wavefunctions in one-dimensional disordered systems

1987 ◽  
Vol 20 (28) ◽  
pp. L717-L721 ◽  
Author(s):  
G Mato ◽  
A Caro
Keyword(s):  
Disordered Systems ◽  
One Dimensional

scholarly journals Resonances in one-dimensional disordered systems: localization of energy and resonant transmission

2004 ◽  
Vol 21 (1) ◽  
pp. 113 ◽  
Author(s):  
K. Yu. Bliokh ◽  
Yu. P. Bliokh ◽  
V. D. Freilikher
Keyword(s):  
Disordered Systems ◽  
One Dimensional ◽  
Resonant Transmission

Electric-Field-Dependent Charge-Carrier Trapping in a One-Dimensional Organic Solid

1983 ◽  
Vol 51 (9) ◽  
pp. 813-816 ◽  
Author(s):  
U. Seiferheld ◽  
H. Bässler ◽  
B. Movaghar
Keyword(s):  
Charge Carrier ◽  
Electric Field ◽  
One Dimensional ◽  
Carrier Trapping ◽  
Organic Solid ◽  
Field Dependent ◽  
Charge Carrier Trapping

Curvature-dependent energies: a geometric and analytical approach

2017 ◽  
Vol 147 (3) ◽  
pp. 449-503 ◽  
Author(s):  
Emilio Acerbi ◽  
Domenico Mucci
Keyword(s):  
Bounded Variation ◽  
Analytical Approach ◽  
Total Curvature ◽  
Representation Formula ◽  
Energy Functional ◽  
Continuous Functions ◽  
Explicit Representation ◽  
Functions Of Bounded Variation ◽  
One Dimensional ◽  
Relaxed Energy

We consider the total curvature of graphs of curves in high-codimension Euclidean space. We introduce the corresponding relaxed energy functional and prove an explicit representation formula. In the case of continuous Cartesian curves, i.e. of graphs cu of continuous functions u on an interval, we show that the relaxed energy is finite if and only if the curve cu has bounded variation and finite total curvature. In this case, moreover, the total curvature does not depend on the Cantor part of the derivative of u. We treat the wider class of graphs of one-dimensional functions of bounded variation, and we prove that the relaxed energy is given by the sum of the length and total curvature of the new curve obtained by closing the holes in cu generated by jumps of u with vertical segments.

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