scholarly journals Monte Carlo simulation of joint density of states in one-dimensional Lebwohl–Lasher model using Wang–Landau algorithm

2008 ◽  
Vol 372 (19) ◽  
pp. 3369-3374 ◽  
Author(s):  
Kisor Mukhopadhyay ◽  
Nababrata Ghoshal ◽  
Soumen Kumar Roy
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Density Of States ◽  
Joint Density ◽  
One Dimensional

Density of States and Localization Lengths in One-dimensional Linear Chains

1997 ◽  
Vol 11 (18) ◽  
pp. 2195-2205
Author(s):  
Mário J. De Oliveira ◽  
Alberto Petri
Keyword(s):  
Integral Equation ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Markov Process ◽  
Density Of States ◽  
Linear Chain ◽  
Harmonic Oscillators ◽  
One Dimensional ◽  
Linear Chains

The integral equation for computing the density of states of a disordered linear chain of harmonic oscillators is interpreted as describing a stochastic Markov process, and its solution is determined by means of Monte Carlo simulation of the process. It is also shown that, in addition to the localization lengths of the eigenstates, the method allows the computation of the generalized Ljapunov exponents. Many different examples of application, ranging from systems with uncorrelated disorder to deterministic aperiodic chains, are reported.

Sign in / Sign up

Export Citation Format

Share Document