Monte-Carlo Simulation of a Classical Quadrupole Solid

The Monte-Carlo method is applied to a sample consisting of 256 linear point-quadrupoles, whose centers are fixed on a face-centered cubic lattice with the usual boundary conditions; the quadrupole interaction is characterized by an energy . The electrostatic energy is evaluated by means of Ewald-Kornfeld’s method. Results are given for energy, specific heat and order parameters and compared with previous papers on the subject. A first-order phase transition is found at T=(1±1)Γ/kB.

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A first-order phase transition in the face-centered-cubic Ising antiferromagnet

Physical Review B ◽

10.1103/physrevb.32.393 ◽

1985 ◽

Vol 32 (1) ◽

pp. 393-399 ◽

Cited By ~ 23

Author(s):

Daniel F. Styer

Keyword(s):

Phase Transition ◽

Order Phase Transition ◽

Face Centered Cubic ◽

First Order ◽

First Order Phase Transition ◽

Ising Antiferromagnet ◽

The Face ◽

Face Centered ◽

First Order Phase

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Notizen: Monte-Carlo Simulation of a Two-dimensional Dipolar Lattice

Zeitschrift für Naturforschung A ◽

10.1515/zna-1977-1119 ◽

1977 ◽

Vol 32 (11) ◽

pp. 1320-1322 ◽

Cited By ~ 1

Author(s):

S. Romano

Keyword(s):

Monte Carlo ◽

Mean Field Theory ◽

Mean Field ◽

Square Lattice ◽

Electrostatic Energy ◽

Two Dimensional ◽

First Order ◽

First Order Phase Transition ◽

The Mean ◽

First Order Phase

Abstract Monte-Carlo calculations were carried out on a system consisting of 256 point-dipoles, whose centres are fixed in a two-dimensional square lattice with the usual boundary condition; the Epstein-Ewald-Kornfeld algorithm was used in evaluating the electrostatic energy. No evidence of a first-order phase transition was found, and the results suggest there might be a second-order one. Additional calculations were carrierd out using the mean-field theory, which was found to overestimate the transition temperature by about a factor two.

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Elastic moduli of body-centered cubic lattice near rigidity percolation threshold: Finite-size effects and evidence for first-order phase transition

Physical Review E ◽

10.1103/physreve.103.042314 ◽

2021 ◽

Vol 103 (4) ◽

Author(s):

Sepehr Arbabi ◽

Muhammad Sahimi

Keyword(s):

Elastic Moduli ◽

Finite Size ◽

Body Centered Cubic ◽

Finite Size Effects ◽

Cubic Lattice ◽

First Order ◽

First Order Phase Transition ◽

Rigidity Percolation ◽

First Order Phase ◽

Body Centered Cubic Lattice

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Исследование влияния слабых магнитных полей на термодинамические свойства модели Поттса с числом состояний спина q=4 на гексагональной решетке

Физика твердого тела ◽

10.21883/ftt.2022.02.51935.226 ◽

2022 ◽

Vol 64 (2) ◽

pp. 237

Author(s):

М.К. Рамазанов ◽

А.К. Муртазаев ◽

М.А. Магомедов ◽

М.К. Мазагаева ◽

М.Р. Джамалудинов

Keyword(s):

Hexagonal Lattice ◽

Replica Exchange ◽

Study Phase ◽

Spin States ◽

First Order ◽

Weak Magnetic Fields ◽

First Order Phase Transition ◽

The Monte Carlo Method ◽

First Order Phase ◽

The Magnetic Field

The replica exchange algorithm of the Monte Carlo method was used to study phase transitions and thermodynamic properties of the two-dimensional Potts model with the number of spin states q = 4 on a hexagonal lattice in weak magnetic fields. The studies were carried out for the interval of the magnetic field value 0.0 ≤ Н ≤ 3.0 with a step of 1.0. It is found that a first-order phase transition is observed in the considered range of field values.

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