scholarly journals Фазовые переходы и термодинамические свойства модели Поттса с числом состояний спина q=4 на решетке кагоме

2020 ◽  
Vol 62 (8) ◽  
pp. 1278
Author(s):  
А.К. Муртазаев ◽  
Т.Р. Ризванова ◽  
М.К. Рамазанов ◽  
М.А. Магомедов
Keyword(s):  
Phase Transitions ◽  
Thermodynamic Properties ◽  
Fourth Order ◽  
Potts Model ◽  
Histogram Analysis ◽  
Spin States ◽  
First Order ◽  
Cumulant Method ◽  
First Order Transition ◽  
Fourth Order Cumulant

Phase transitions and thermodynamic properties of the 2D ferromagnetic Potts model with the number of spin states q = 4 on a kagome lattice are investigated by the Mote Carlo method based on the Wang-Landau algorithm. The orders of the phase transitions are investigated using the Binder fourth-order cumulant method and histogram analysis of data. It is established that a first-order transition is observed in the model being investigated.

scholarly journals Исследование фазовых переходов и термодинамических свойств модели Поттса с C-=SUB=-q-=/SUB=-=4 на гексагональной решетке с взаимодействиями вторых ближайших соседей

2020 ◽  
Vol 62 (3) ◽  
pp. 442
Author(s):  
М.К. Рамазанов ◽  
А.К. Муртазаев ◽  
М.А. Магомедов ◽  
М.К. Мазагаева
Keyword(s):  
Phase Transitions ◽  
Hexagonal Lattice ◽  
Magnetic Ordering ◽  
Nearest Neighbors ◽  
Magnetic Structures ◽  
First Order ◽  
The Monte Carlo Method ◽  
Cumulant Method ◽  
First Order Transition ◽  
Fourth Order Cumulant

Magnetic structures of the ground state, phase transitions and thermodynamic properties of the 2D ferromagnetic Potts model with the number of spin states q = 4 on a hexagonal lattice with next-nearest neighbors interactions are investigated by the Monte Carlo method based on the Wang-Landau algorithm. It is shown that taking into account the antiferromagnetic interactions of the next-nearest neighbors leads to the appearance of frustration and a violation of magnetic ordering. The orders of the phase transitions are investigated using the Binder fourth-order cumulant method and histogram analysis of data. It is established that a first-order transition is observed in the model being investigated.

scholarly journals Microcanonical Entropy of the Infinite-State Potts Model

2011 ◽  
Vol 2011 ◽  
pp. 1-5 ◽  
Author(s):  
Jonas Johansson ◽  
Mats-Erik Pistol
Keyword(s):  
Density Of States ◽  
Thermodynamic Limit ◽  
Potts Model ◽  
Direct Consequence ◽  
Configurational Energy ◽  
First Order ◽  
Entire Energy Range ◽  
Straight Line ◽  
First Order Transition ◽  
Infinite State

In this investigation we show that the entropy of the two-dimensional infinite-state Potts model is linear in configurational energy in the thermodynamic limit. This is a direct consequence of the local convexity of the microcanonical entropy, associated with a finite system undergoing a first-order transition. For a sufficiently large number of states , this convexity spans the entire energy range of the model. In the thermodynamic limit, the convexity becomes insignificant, and the microcanonical entropy (the logarithm of the density of states) tends to a straight line. In order to demonstrate the behaviour of the convexity, we use the Wang-Landau Monte-Carlo technique to numerically calculate the density of states for a few finite but high values of . Finally, we calculate the free energy and discuss the generality of our results.

scholarly journals Microcanonical thermodynamics of first order phase transitions studied in the potts model

2010 ◽  
Vol 508 (5) ◽  
pp. 446-452 ◽  
Author(s):  
D. H. E. Gross ◽  
A. Ecker ◽  
X. Z. Zhang
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
First Order ◽  
First Order Phase

Dielectric Spectroscopy of (bis)Thiourea Pyridinium Bromide

2004 ◽  
Vol 59 (11) ◽  
pp. 857-860 ◽  
Author(s):  
A. Marczak ◽  
P. Czarnecki ◽  
S. Mielcarek
Keyword(s):  
Phase Transitions ◽  
Dielectric Spectroscopy ◽  
Solid Phase ◽  
Ion Dynamics ◽  
Pyridinium Bromide ◽  
First Order ◽  
New Information ◽  
First Order Transition ◽  
Dsc Method ◽  
Disorder Type

Policrystalline (bis)thiourea pyridinium bromide has been studied with dielectric spectroscopy and DSC method. New information about phase transitions in (bis)thiourea pyridinium bromide has been obtained and discussed. Two solid-solid phase transitions (at T2 = 150 K - first order transition of order-disorder type, and T1 = 180 K - second order) have been revealed. A change of the ion dynamics is observed at T2

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