Monte carlo simulation of a disordered long-ranged plane rotator system in one dimension

1988 ◽  
Vol 10 (12) ◽  
pp. 1459-1472 ◽  
Author(s):  
S. Romano
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
One Dimension ◽  
Plane Rotator

PHASE DIAGRAM OF DOUBLE EXCHANGE MODEL WITH ANTIFERROMAGNETIC COUPLING FOR LOCALIZED t2g SPINS IN ONE DIMENSION REVISITED

2005 ◽  
Vol 19 (24) ◽  
pp. 3731-3743 ◽  
Author(s):  
Q. L. ZHANG
Keyword(s):  
Phase Diagram ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Large Scale ◽  
Double Exchange ◽  
Exchange Model ◽  
One Dimension ◽  
Antiferromagnetic Coupling ◽  
Single Orbit ◽  
Superexchange Coupling

The phase diagram of the single-orbit double exchange model for manganites with ferromagnetic Hund coupling between mobile eg electrons and spins of localized t2g electrons as well as antiferromagnetic superexchange coupling between t2g electrons is investigated with a large scale Monte Carlo simulation in one dimension. The phase boundary is determined based on the internal energy, the electron density and the structure factor. In particular, low-temperature properties at quarter filling are studied in detail.

scholarly journals Monte Carlo Simulation and Static and Dynamic Critical Behavior of the Plane Rotator Model

1978 ◽  
Vol 60 (6) ◽  
pp. 1669-1685 ◽  
Author(s):  
S. Miyashita ◽  
H. Nishimori ◽  
A. Kuroda ◽  
M. Suzuki
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Behavior ◽  
Rotator Model ◽  
Plane Rotator

MONTE CARLO SIMULATION OF RANDOM BOSON HUBBARD MODEL

1996 ◽  
Vol 07 (03) ◽  
pp. 449-456 ◽  
Author(s):  
NAOMICHI HATANO
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Hubbard Model ◽  
Monte Carlo Algorithm ◽  
One Dimension ◽  
Matrix Elements ◽  
The Matrix ◽  
Analytic Expression ◽  
Scaling Argument ◽  
Boson Hubbard Model

A Monte Carlo algorithm for the random Boson Hubbard model is reported. The analytic expression of the matrix elements is presented, and the ergodicity of the Monte Carlo flips is discussed. The results in one dimension supports a previously proposed perturbational scaling argument.

scholarly journals Angular Correlation Using Rogers-Szegő-Chaos

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 171
Author(s):  
Christine Schmid ◽  
Kyle J. DeMars
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Probability Density Function ◽  
Polynomial Chaos ◽  
Uncertainty Propagation ◽  
One Dimension ◽  
Real Numbers ◽  
The Family ◽  
Heading Angle ◽  
Probability Density Function Pdf

Polynomial chaos expresses a probability density function (pdf) as a linear combination of basis polynomials. If the density and basis polynomials are over the same field, any set of basis polynomials can describe the pdf; however, the most logical choice of polynomials is the family that is orthogonal with respect to the pdf. This problem is well-studied over the field of real numbers and has been shown to be valid for the complex unit circle in one dimension. The current framework for circular polynomial chaos is extended to multiple angular dimensions with the inclusion of correlation terms. Uncertainty propagation of heading angle and angular velocity is investigated using polynomial chaos and compared against Monte Carlo simulation.

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