The Ising model and critical behavior of transport in binary composite media

2012 ◽  
Vol 53 (6) ◽  
pp. 063506 ◽  
Author(s):  
N. B. Murphy ◽  
K. M. Golden
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Composite Media ◽  
Binary Composite

Universal Relations in Piezoelectric Composites With Eigenstress and Polarization Fields, Part I: Binary Media—Local Fields and Effective Behavior

1993 ◽  
Vol 60 (2) ◽  
pp. 265-269 ◽  
Author(s):  
Y. Benveniste
Keyword(s):  
Spontaneous Polarization ◽  
Electric Field Intensity ◽  
Local Fields ◽  
Composite Media ◽  
Piezoelectric Composites ◽  
Arbitrary Phase ◽  
Electromechanical Loading ◽  
Piezoelectric Behavior ◽  
Binary Composite ◽  
Effective Constants

Binary composite media of arbitrary phase geometry are considered. The constituent phases have general anisotropic piezoelectric behavior and contain constant eigenstress and spontaneous polarization fields. An electromechanical loading of the composite aggregate is found which results in uniform strain and electric field intensity throughout the solid. The existence of these uniform fields is used to derive exact universal relations between the local fields as well as between the effective constants of the composite aggregate.

scholarly journals Pseudo-Yang-Lee Edge Singularity Critical Behavior in a Non-Hermitian Ising Model

Entropy ◽  
2020 ◽  
Vol 22 (7) ◽  
pp. 780
Author(s):  
Liang-Jun Zhai ◽  
Guang-Yao Huang ◽  
Huai-Yu Wang
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Critical Behavior ◽  
Critical Region ◽  
Numerical Study ◽  
Transverse Field ◽  
Scaling Theory ◽  
New Order ◽  
Edge Singularity ◽  
Transverse Field Ising Model

The quantum phase transition of a one-dimensional transverse field Ising model in an imaginary longitudinal field is studied. A new order parameter M is introduced to describe the critical behaviors in the Yang-Lee edge singularity (YLES). The M does not diverge at the YLES point, a behavior different from other usual parameters. We term this unusual critical behavior around YLES as the pseudo-YLES. To investigate the static and driven dynamics of M, the (1+1) dimensional ferromagnetic-paramagnetic phase transition ((1+1) D FPPT) critical region, (0+1) D YLES critical region and the (1+1) D YLES critical region of the model are selected. Our numerical study shows that the (1+1) D FPPT scaling theory, the (0+1) D YLES scaling theory and (1+1) D YLES scaling theory are applicable to describe the critical behaviors of M, demonstrating that M could be a good indicator to detect the phase transition around YLES. Since M has finite value around YLES, it is expected that M could be quantitatively measured in experiments.

Critical behavior near a smooth inhomogeneity in the planar Ising model and conformal invariance

1990 ◽  
Vol 65 (14) ◽  
pp. 1773-1776 ◽  
Author(s):  
Ferenc Iglói ◽  
Bertrand Berche ◽  
Loïc Turban
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Conformal Invariance

Critical behavior of an Ising model on a cubic compressible lattice

1976 ◽  
Vol 13 (5) ◽  
pp. 2145-2175 ◽  
Author(s):  
D. J. Bergman ◽  
B. I. Halperin
Keyword(s):  
Ising Model ◽  
Critical Behavior

scholarly journals Antiferromagnetic triangular Ising model: Critical behavior of the ground state

1993 ◽  
Vol 47 (22) ◽  
pp. 15046-15059 ◽  
Author(s):  
Henk W. J. Blöte ◽  
M. Peter Nightingale
Keyword(s):  
Ising Model ◽  
Critical Behavior ◽  
Ground State
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