Simulation of a Two-Dimensional Dipolar System on a APE100/Quadrics Simd Architecture

1997 ◽  
Vol 08 (03) ◽  
pp. 459-472 ◽  
Author(s):  
Alessandro Bruno ◽  
Fabrizio Pisacane ◽  
Vittorio Rosato
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Applied Field ◽  
Thermodynamic Quantities ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
Lattice Monte Carlo ◽  
Long Range Interactions ◽  
Simd Architecture ◽  
Dipolar System

The temperature behavior of a system of dipoles with long-range interactions has been simulated via a two-dimensional lattice Monte Carlo on a massively SIMD platform (Quadrics/APE100). Thermodynamic quantities have been evaluated in order to locate and to characterize the phase transition in absence of applied field. Emphasis is given to the code implementation on the SIMD architecture and to the relevant features which have been used to improve code capabilities and performances.

FIELD INDUCED PHASE TRANSITION FOR SUSPENSION OF MONOSIZED SPHERES

2002 ◽  
Vol 16 (17n18) ◽  
pp. 2357-2363 ◽  
Author(s):  
S. MEN ◽  
A. MEUNIER ◽  
C. MÉTAYER ◽  
G. BOSSIS
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Horizontal Plane ◽  
Constant Pressure ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Ewald Summation ◽  
Dipolar System ◽  
Rotating Field

We have developed a new Ewald summation for a three-dimensional dipolar system with two-dimensional periodicity in a uniaxial field and a rotating field in a horizontal plane. Under a constant pressure and temperature, Monte Carlo simulation has been carried out; phase transitions are found and chainlike structure for a uniaxial field and monolayer or multilayer for rotating field are obtained, which are well consistent with experiments.

Monte Carlo Modelling of Two Dimensional Multiferroics

2015 ◽  
Vol 233-234 ◽  
pp. 379-382 ◽  
Author(s):  
S.J. Lamekhov ◽  
Igor V. Bychkov ◽  
Dmitry A. Kuzmin ◽  
Vladimir G. Shavrov
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Magnetoelectric Effect ◽  
Magnetoelectric Coupling ◽  
Two Dimensional ◽  
External Fields ◽  
Dimensional Lattice

Properties of two dimensional multiferroic with magnetic and electric order was studied on two-dimensional lattice with size 20x20. As a result of modeling was found temperature dependencies of polarization, magnetization and dielectric, magnetic and magnetoelectric susceptibilities for different values of magnetoelectric coefficients. Modeling shows influence of external fields on phase transitions through magnetoelectric effect. Magnetoelectric coupling leads to shift in temperature of phase transition.

Concentration Phase Transition in a Two-Dimensional Ferromagnet

2020 ◽  
Vol 312 ◽  
pp. 244-250
Author(s):  
Alexander Konstantinovich Chepak ◽  
Leonid Lazarevich Afremov ◽  
Alexander Yuryevich Mironenko
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Thermal Effect ◽  
Spin State ◽  
Critical Concentration ◽  
Two Dimensional ◽  
Percolation Transition ◽  
Magnetic Cluster ◽  
The Monte Carlo Method

The concentration phase transition (CPT) in a two-dimensional ferromagnet was simulated by the Monte Carlo method. The description of the CPT was carried out using various order parameters (OP): magnetic, cluster, and percolation. For comparison with the problem of the geometric (percolation) phase transition, the thermal effect on the spin state was excluded, and thus, CPT was reduced to percolation transition. For each OP, the values ​​of the critical concentration and critical indices of the CPT are calculated.

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