Microscopic dynamical exponents for random-random directed walk on a one-dimensional lattice with quenched disorder

1990 ◽  
Vol 61 (1-2) ◽  
pp. 403-413 ◽  
Author(s):  
Claude Aslangul ◽  
Marc Barthelemy ◽  
No�lle Pottier ◽  
Daniel Saint-James
Keyword(s):  
Quenched Disorder ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Dynamical Exponents

scholarly journals DIFFERENTIAL EQUATION APPROACH FOR ONE- AND TWO-DIMENSIONAL LATTICE GREEN'S FUNCTION

2007 ◽  
Vol 21 (02n03) ◽  
pp. 139-154 ◽  
Author(s):  
J. H. ASAD
Keyword(s):  
Differential Equation ◽  
Green’S Function ◽  
Recurrence Relation ◽  
Green's Function ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
The One ◽  
Lattice Green's Function ◽  
Lattice Green’S Function

A first-order differential equation of Green's function, at the origin G(0), for the one-dimensional lattice is derived by simple recurrence relation. Green's function at site (m) is then calculated in terms of G(0). A simple recurrence relation connecting the lattice Green's function at the site (m, n) and the first derivative of the lattice Green's function at the site (m ± 1, n) is presented for the two-dimensional lattice, a differential equation of second order in G(0, 0) is obtained. By making use of the latter recurrence relation, lattice Green's function at an arbitrary site is obtained in closed form. Finally, the phase shift and scattering cross-section are evaluated analytically and numerically for one- and two-impurities.

One-Dimensional Lattice Model of Superradiance

1984 ◽  
pp. 503-506
Author(s):  
V. Benza ◽  
E. Montaldi ◽  
M. Ciftan
Keyword(s):  
Lattice Model ◽  
Dimensional Lattice ◽  
One Dimensional

scholarly journals Continuum model of a one-dimensional lattice of metamaterials

2016 ◽  
Vol 227 (8) ◽  
pp. 2361-2376 ◽  
Author(s):  
Yahong Zhou ◽  
Peijun Wei ◽  
Qiheng Tang
Keyword(s):  
Continuum Model ◽  
Dimensional Lattice ◽  
One Dimensional
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