Non-Markoffian diffusion in a one-dimensional disordered lattice

1982 ◽  
Vol 28 (1) ◽  
pp. 127-133 ◽  
Author(s):  
Robert Zwanzig
Keyword(s):  
One Dimensional ◽  
Disordered Lattice

Ground state of one-dimension repulsing particles on disordered lattice

2014 ◽  
Vol 25 (08) ◽  
pp. 1450028 ◽  
Author(s):  
L. A. Pastur ◽  
V. V. Slavin ◽  
A. A. Krivchikov
Keyword(s):  
Ground State ◽  
Domain Walls ◽  
Host Lattice ◽  
One Dimension ◽  
Weak Disorder ◽  
Interacting Particles ◽  
One Dimensional ◽  
Lattice Disorder ◽  
Disordered Lattice ◽  
The Mean

The ground state (GS) of interacting particles on a disordered one-dimensional (1D) host-lattice is studied by a new numerical method. It is shown that if the concentration of particles is small, then even a weak disorder of the host-lattice breaks the long-range order of Generalized Wigner Crystal (GWC), replacing it by the sequence of blocks (domains) of particles with random lengths. The mean domains length as a function of the host-lattice disorder parameter is also found. It is shown that the domain structure can be detected by a weak random field, whose form is similar to that of the ground state but has fluctuating domain walls positions. This is because the generalized magnetization corresponding to the field has a sufficiently sharp peak as a function of the amplitude of fluctuations for small amplitudes.

ac conductivity of a one-dimensional site-disordered lattice

1978 ◽  
Vol 17 (12) ◽  
pp. 4487-4494 ◽  
Author(s):  
R. C. Albers ◽  
J. E. Gubernatis
Keyword(s):  
Ac Conductivity ◽  
One Dimensional ◽  
Disordered Lattice

Localization theory in a one-dimensional disordered lattice

1975 ◽  
Vol 25 (1) ◽  
pp. 1-12 ◽  
Author(s):  
J. Chahoud ◽  
L. Ferrari ◽  
G. Russo
Keyword(s):  
One Dimensional ◽  
Disordered Lattice ◽  
Localization Theory

DIFFUSION IN ONE-DIMENSIONAL DISORDERED LATTICE

2012 ◽  
Vol 26 (01) ◽  
pp. 1150011 ◽  
Author(s):  
P. K. HUNG ◽  
T. V. MUNG ◽  
N. V. HONG
Keyword(s):  
Diffusion Coefficient ◽  
Correlation Factor ◽  
One Dimensional ◽  
Uniform Distributions ◽  
Disordered Lattice ◽  
Specific Effects ◽  
The Mean ◽  
Mc Simulation ◽  
Mean Time ◽  
Good Agreement

The diffusion in one-dimensional (1D) lattices with different types of energetic disorders has been investigated using both analytical method and Monte Carlo (MC) simulation. In single-particle case of two-level and uniform distributions the calculation shows a good agreement between analytical and simulation results for certain diffusion quantities. The expression for temperature dependence of diffusion coefficient DS is not Arrhenius one, but it tends to have Arrhenius type in the regime of low temperature. For many-particle case the simulation revealed two specific effects: first effect concerning the correlation factor FM decreases the diffusion coefficient DM as the coverage increases, second one relating to the mean time between two consecutive hops τ jump M conversely increase DM. For all 1D lattices the diffusion coefficient decreases with the coverage due to that first effect is stronger than second one. Furthermore, we have demonstrated that the ratio DM/DS weakly depends on temperature, although FM/FS and τ jump M/τ jump S strongly vary in the considered temperature interval.

THERMODYNAMICS OF LOW-DENSITY ELECTRON GAS ON HIGHLY DISORDERED ONE-DIMENSIONAL HOST LATTICE

2004 ◽  
Vol 18 (20n21) ◽  
pp. 2863-2876
Author(s):  
V. SLAVIN ◽  
A. SLUTSKIN
Keyword(s):  
Spin Glasses ◽  
Electron Gas ◽  
Three Dimensional ◽  
Thermodynamic Characteristics ◽  
Host Lattice ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Disordered Lattice ◽  
Dimensional Electron Gas ◽  
Computer Procedure

The low-temperature thermodynamics of a one-dimensional electron gas on a disordered lattice, which comes to existence when the inter-electron distances exceed noticeably the inter-site ones, has been studied. An efficient computer procedure, based on the presentation of the partition function as a product of random transfer-matrixes, has been developed for calculations of thermodynamic characteristics of the system under consideration. The lattice structures were varied from completely chaotic up to the strictly regular one. It has been established that for any degree of disorder the entropy and heat capacity of the system tend to zero linearly as the temperature is reduced. The conclusion about the gapless character of the elementary excitations spectrum has been made. An instability of one-dimensional electron gas on a disordered lattice has been revealed: under conditions of vanishingly small disordering of the lattice, the long-range order in the systems under consideration is broken by frustrations that are one-dimensional analogues of the frustrations in two- and three-dimensional spin glasses.

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