scholarly journals Detecting Signals of Weakly First-order Phase Transitions in Two-dimensional Potts Models

2019 ◽  
Vol 88 (3) ◽  
pp. 034006 ◽  
Author(s):  
Shumpei Iino ◽  
Satoshi Morita ◽  
Naoki Kawashima ◽  
Anders W. Sandvik
Keyword(s):  
Phase Transitions ◽  
Two Dimensional ◽  
Potts Models ◽  
First Order ◽  
First Order Phase

On the Hysteresis of Adsorption on Solid Surfaces

1952 ◽  
Vol 5 (2) ◽  
pp. 288
Author(s):  
RG Wylie
Keyword(s):  
Phase Transitions ◽  
Solid Surface ◽  
Three Dimensional ◽  
Solid Surfaces ◽  
Two Dimensional ◽  
Capillary Effects ◽  
First Order ◽  
Adsorption Of Gases ◽  
First Order Phase ◽  
Hysteresis Phenomena

Hysteresis phenomena associated with the adsorption of gases on solid surfaces are usually explained in terms of three-dimensional capillary effects or with more or less unspecific reference to phase transitions. It is shown that hysteresis effects are to be expected when two dimensional phase transitions occur on solids. In the connection, the thermodynamic equation governing the equilibrium of small, incompressible two-dimensional phases is derived. Such phases can form on an imperfect solid surface in an irreversible manner and, as calculation shows, can contribute significantly to the hysteresis of adsorption. In some cases the phase change may be responsible for the whole effect. The diffuseness of first-order phase transitions may be due to the same mechanism.

DYNAMIC SCALING FOR FIRST-ORDER PHASE TRANSITIONS

2000 ◽  
Vol 11 (03) ◽  
pp. 553-559
Author(s):  
BANU EBRU ÖZOĞUZ ◽  
YIĞIT GÜNDÜÇ ◽  
MERAL AYDIN
Keyword(s):  
Phase Transitions ◽  
Finite Size ◽  
Two Dimensions ◽  
Dynamic Scaling ◽  
Finite Size Scaling ◽  
Potts Models ◽  
Time Dynamics ◽  
First Order ◽  
Short Time ◽  
First Order Phase

The critical behavior in short time dynamics for the q = 6 and 7 state Potts models in two-dimensions is investigated. It is shown that dynamic finite-size scaling exists for first-order phase transitions.

scholarly journals First-order phase transitions in repulsive rigid k-mers on two-dimensional lattices

2012 ◽  
Vol 136 (6) ◽  
pp. 064113 ◽  
Author(s):  
P. M. Pasinetti ◽  
F. Romá ◽  
A. J. Ramirez-Pastor
Keyword(s):  
Phase Transitions ◽  
Two Dimensional ◽  
First Order ◽  
First Order Phase

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

2019 ◽  
Vol 61 (11) ◽  
pp. 2195
Author(s):  
А.К. Муртазаев ◽  
Д.Р. Курбанова ◽  
М.К. Рамазанов
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Thermodynamic Properties ◽  
Monte Carlo Algorithm ◽  
Two Dimensional ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Binder Cumulants

The Wang-Landau Monte Carlo algorithm has been used to study the phase transitions and thermodynamic properties of the two-dimensional ferromagnetic q = 4 Potts model on a triangular lattice. A nature of phase transition has estimated using the methods of the fourth order Binder cumulants and the histogram analysis. It has been established that a first-order phase transition is observed in the model under study.

scholarly journals Polarization Switching in Ferroelectric Thin Films Undergoing First-Order Phase Transitions

2010 ◽  
Vol 2010 ◽  
pp. 1-8
Author(s):  
L. A. Bakaleinikov ◽  
A. Gordon
Keyword(s):  
Thin Films ◽  
Phase Transitions ◽  
Short Range ◽  
Dipole Interaction ◽  
Pyroelectric Coefficient ◽  
Ferroelectric Thin Films ◽  
Two Dimensional ◽  
Switching Rate ◽  
First Order ◽  
First Order Phase

The main switching properties in ferroelectrics undergoing first-order phase transitions are simulated within the framework of the extended Ishibashi dipole-lattice model including the dipole-dipole interaction in a two-dimensional case for ferroelectric nanoscale objects. The peculiarities of the temperature dependence of the switching rate and the pyroelectric coefficient are discussed in the range of coexistence of the metastable states. The used coefficients of the long-range and short-range interactions between the dipoles are taken from the dielectric and structure measurements inBaTiO3.

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