First-order phase transition in a 2D random-field Ising model with conflicting dynamics

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2009/02/p02058 ◽

2009 ◽

Vol 2009 (02) ◽

pp. P02058 ◽

Author(s):

Nuno Crokidakis

Keyword(s):

Phase Transition ◽

Ising Model ◽

Random Field ◽

Order Phase Transition ◽

Random Field Ising Model ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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Destruction of first-order phase transition in a random-field Ising model

Journal of Physics Condensed Matter ◽

10.1088/0953-8984/20/14/145211 ◽

2008 ◽

Vol 20 (14) ◽

pp. 145211 ◽

Author(s):

Nuno Crokidakis ◽

Fernando D Nobre

Keyword(s):

Phase Transition ◽

Ising Model ◽

Random Field ◽

Order Phase Transition ◽

Random Field Ising Model ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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Fluctuation-Driven First-Order Phase Transition, below Four Dimensions, in the Random-Field Ising Model with a Gaussian Random-Field Distribution

Physical Review Letters ◽

10.1103/physrevlett.55.856 ◽

1985 ◽

Vol 55 (8) ◽

pp. 856-858 ◽

Author(s):

A. Houghton ◽

A. Khurana ◽

F. J. Seco

Keyword(s):

Phase Transition ◽

Ising Model ◽

Random Field ◽

Order Phase Transition ◽

Gaussian Random Field ◽

Random Field Ising Model ◽

Four Dimensions ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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Wishart planted ensemble: A tunably rugged pairwise Ising model with a first-order phase transition

Physical Review E ◽

10.1103/physreve.101.052102 ◽

2020 ◽

Vol 101 (5) ◽

Author(s):

Firas Hamze ◽

Jack Raymond ◽

Christopher A. Pattison ◽

Katja Biswas ◽

Helmut G. Katzgraber

Keyword(s):

Phase Transition ◽

Ising Model ◽

Order Phase Transition ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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First order phase transition in thin anisotropic films linear chain approximation for a spin-one Ising model

Physica B Condensed Matter ◽

10.1016/0921-4526(95)00372-g ◽

1995 ◽

Vol 212 (4) ◽

pp. 364-374 ◽

Author(s):

G.W Wiatrowski

Keyword(s):

Phase Transition ◽

Ising Model ◽

Order Phase Transition ◽

Linear Chain ◽

First Order ◽

First Order Phase Transition ◽

Chain Approximation ◽

First Order Phase

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Hysteresis scaling of the field-driven first-order phase transition in the Ising model

Journal of Physics Condensed Matter ◽

10.1088/0953-8984/10/8/018 ◽

1998 ◽

Vol 10 (8) ◽

pp. 1863-1871 ◽

Author(s):

G P Zheng ◽

J X Zhang

Keyword(s):

Phase Transition ◽

Ising Model ◽

Order Phase Transition ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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First-order phase transition and metastability in the critical two-dimensional Ising model

Journal of Physics A General Physics ◽

10.1088/0305-4470/32/23/601 ◽

1999 ◽

Vol 32 (23) ◽

pp. 4321-4321 ◽

Author(s):

S B Rutkevich

Keyword(s):

Phase Transition ◽

Ising Model ◽

Order Phase Transition ◽

Two Dimensional ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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Calculation of the Specific Heat for the First Order Phase Transition in NH4Br

Modern Physics Letters B ◽

10.1142/s021798499800127x ◽

1998 ◽

Vol 12 (25n26) ◽

pp. 1089-1095 ◽

Author(s):

H. Yurtseven ◽

A. Yanik ◽

W. F. Sherman

Keyword(s):

Phase Transition ◽

Ising Model ◽

Specific Heat ◽

Order Phase Transition ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase ◽

Good Agreement ◽

Observed Behavior

We calculate in this work the specific heat CVI using the predictions of an Ising model for the NH 4 Br crystal (T C =234 K, P=0). Our calculated CVI values are in good agreement with the experimentally observed CP data from the literature. This shows that the observed behavior of NH 4 Br can be described adequately in the lattice region under an Ising model studied here.

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Nonanalytic features of the first order phase transition in the Ising model

Communications in Mathematical Physics ◽

10.1007/bf01210832 ◽

1984 ◽

Vol 95 (4) ◽

pp. 427-443 ◽

Author(s):

S. N. Isakov

Keyword(s):

Phase Transition ◽

Ising Model ◽

Order Phase Transition ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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Study of the first-order phase transition in the classical and quantum random field Heisenberg model on a simple cubic lattice

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2012.01.049 ◽

2012 ◽

Vol 391 (12) ◽

pp. 3361-3365 ◽

Author(s):

J. Ricardo de Sousa ◽

Douglas F. de Albuquerque ◽

Alberto S. de Arruda

Keyword(s):

Phase Transition ◽

Random Field ◽

Order Phase Transition ◽

Heisenberg Model ◽

Cubic Lattice ◽

First Order ◽

Simple Cubic ◽

Simple Cubic Lattice ◽

First Order Phase Transition ◽

First Order Phase

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ON THE THEORY OF FIRST-ORDER PHASE TRANSITION IN ORDER-DISORDER FERROELECTRICS

International Journal of Modern Physics B ◽

10.1142/s0217979292000591 ◽

1992 ◽

Vol 06 (08) ◽

pp. 1181-1192 ◽

Author(s):

J.M. WESSELINOWA ◽

M.S. MARINOV

Keyword(s):

Phase Transition ◽

Phase Transitions ◽

Ising Model ◽

Order Phase Transition ◽

Transverse Field ◽

Spin Interaction ◽

Relative Polarization ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

Based on the Hamiltonian of the Ising model in a transverse field, we have considered the four-spin interaction which is responsible for the first-order phase transition observed in order-disorder ferroelectrics. Using the method of the retarded Green’s function we have determined the relative polarization, the spin-wave energy, the transverse and longitudinal damping. They are numerically calculated and discussed for different temperature and tunneling frequency values in the cases of first- and second-order phase transitions.

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