Location of the mean-field critical temperature of underdopedYBa2Cu3Oyfilms

2007 ◽  
Vol 75 (21) ◽  
Author(s):  
L. Miu ◽  
D. Miu ◽  
G. Jakob ◽  
H. Adrian
Keyword(s):  
Critical Temperature ◽  
Mean Field ◽  
The Mean

ON PHASE TRANSITIONS ON BETHE LATTICES

1994 ◽  
Vol 08 (25) ◽  
pp. 1587-1590 ◽  
Author(s):  
RAFFAELLA BURIONI ◽  
DAVIDE CASSI
Keyword(s):  
Phase Transitions ◽  
Critical Temperature ◽  
Simple Formula ◽  
Mean Field ◽  
Scaling Relations ◽  
Long Range Order ◽  
Rigorous Results ◽  
Tree Structures ◽  
Bethe Lattices ◽  
The Mean

Starting from some recent rigorous results about correlation functions of statistical model on tree structures, we analyze the nature of phase transitions occurring on Bethe lattices, showing the lack of long range order and the purely geometrical origin of the thermodynamic singularities. This approach gives a very simple formula for the critical temperature for any model with compact symmetry group and immediately leads to the value 1 for the critical exponent γ. The “geometrical” critical behavior only partially coincides with the mean field solution and violates the usual scaling relations.

Layered Systems at the Mean Field Critical Temperature

2015 ◽  
Vol 161 (1) ◽  
pp. 91-122 ◽  
Author(s):  
Luiz Renato Fontes ◽  
Domingos H. U. Marchetti ◽  
Immacolata Merola ◽  
Errico Presutti ◽  
Maria Eulalia Vares
Keyword(s):  
Critical Temperature ◽  
Mean Field ◽  
Layered Systems ◽  
The Mean

Restudy of surface tension of QGP with one-loop correction in the mean-field potential

2014 ◽  
Vol 29 (20) ◽  
pp. 1450097 ◽  
Author(s):  
S. Somorendro Singh ◽  
K. K. Gupta ◽  
A. K. Jha
Keyword(s):  
Surface Tension ◽  
Critical Temperature ◽  
Droplet Size ◽  
Quark Gluon Plasma ◽  
Mean Field ◽  
Field Potential ◽  
Gluon Plasma ◽  
Loop Correction ◽  
The Mean ◽  
Mean Field Potential

Surface tension of quark–gluon plasma (QGP) evolution with one-loop correction in the mean-field potential is studied. First, with the correction, the stable QGP droplet size decreases. Then, the value of surface tension is found to be improved and it approaches to the lattice value of surface tension [Formula: see text]. Moreover, the ratio of the surface tension to the cube of the critical temperature is found to increase the value in comparison to earlier studies without correction factor [R. Ramanathan, K. K. Gupta, A. K. Jha and S. S. Singh, Pram. J. Phys. 68, 757 (2007)].

scholarly journals RESHUFFLING SPINS WITH SHORT RANGE INTERACTIONS: WHEN SOCIOPHYSICS PRODUCES PHYSICAL RESULTS

2005 ◽  
Vol 16 (10) ◽  
pp. 1507-1517 ◽  
Author(s):  
A. O. SOUSA ◽  
K. MALARZ ◽  
S. GALAM
Keyword(s):  
Monte Carlo ◽  
Critical Temperature ◽  
Nearest Neighbor ◽  
Mean Field ◽  
Nonlinear Behavior ◽  
Opinion Dynamics ◽  
Monte Carlo Step ◽  
Square Lattice ◽  
The Mean ◽  
Dynamics Models

Galam reshuffling introduced in opinion dynamics models, is investigated under the nearest neighbor Ising model on a square lattice using Monte Carlo simulations. While the corresponding Galam analytical critical temperature TC≈3.09 [J/kB] is recovered almost exactly, it is proved to be different from both values, not reshuffled (TC =2/ arcsinh (1)≈2.27 [J/kB]) and mean-field (TC =4 [J/kB]). On this basis, gradual reshuffling is studied as function of 0≤p≤1 where p measures the probability of spin reshuffling after each Monte Carlo step. The variation of TC as function of p is obtained and exhibits a nonlinear behavior. The simplest Solomon network realization is noted to reproduce Galam p =1 result. Similarly to the critical temperature, critical exponents are found to differ from both, the classical Ising case and the mean field values.

Critical phenomena: General considerations. Mean-field theory (MFT)

2021 ◽  
pp. 324-356
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Critical Temperature ◽  
Critical Phenomena ◽  
Correlation Length ◽  
Particle Physics ◽  
Mean Field ◽  
Lattice Models ◽  
Field Approximation ◽  
Phase Region ◽  
Mean Field Approximation ◽  
The Mean

This chapter is devoted to a brief review of general properties of phase transitions in macroscopic physics and, in particular in lattice models. Some of these lattice models actually appear as lattice regularizations of Euclidean (imaginary time) quantum physics theory (QFT). Most of the transitions considered in this work have the following character: spins on the lattice, or macroscopic particles in the continuum, interact through short-range forces, assumed, for simplicity, to decay exponentially. For simple systems, it is possible to find a local observable, called order parameter, whose expectation values depend on the phase in the several phase region, for example, the spin in ferromagnetic systems. In the disordered phase, the connected two-point function decreases exponentially at large distance, at a rate characterized by the correlation length (the inverse of the smallest physical mass in particle physics). In continuous transitions, the correlation length diverges at the critical temperature. Within the mean-field approximation (consistent with Landau's theory of critical phenomena), it can be shown that the singular behaviour of thermodynamic quantities at the critical temperature is universal. These properties can also be reproduced by calculating correlation functions with a perturbed Gaussian measure. It is then shown that the leading corrections to the mean-field approximation, in Ising-like systems, diverge at the critical temperature for dimensions smaller than or equal to $4$.

CRITICAL TEMPERATURE OF A WEAKLY INTERACTING BOSE GAS IN A POWER-LAW POTENTIAL

2003 ◽  
Vol 17 (12) ◽  
pp. 2439-2446 ◽  
Author(s):  
HIDENORI SUZUKI ◽  
MASUO SUZUKI
Keyword(s):  
Critical Temperature ◽  
Chemical Potential ◽  
Particle Density ◽  
Dimensional Space ◽  
Mean Field ◽  
Bose Gas ◽  
Ideal Gas ◽  
Mean Field Approximation ◽  
Weakly Interacting ◽  
The Mean

The critical temperature T c of a weakly interacting Bose gas in an isotropic power-low potential is investigated in the mean-field approximation by taking into account the fact that the particle density distribution function appearing in the mean-field depends on the chemical potential. We derive the general formula of the shift of T c from that of the ideal gas to the lowest order of an interaction. In three-dimensional space, we show that the shift of T c changes its sign from a negative value for n < 3 to a positive one for n > 3, where n is the exponent of the power-low potential.

Magnetic field, chiral transition and Pauli interaction

2014 ◽  
Vol 29 (11) ◽  
pp. 1450058 ◽  
Author(s):  
Tomasz L. Partyka
Keyword(s):  
Magnetic Field ◽  
Critical Temperature ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Mean Field ◽  
Chiral Transition ◽  
Field Level ◽  
The Mean

The possibility that the Pauli interaction could influence the critical temperature of chiral transition is investigated. We work within the Nambu-Jona–Lasinio model at the mean field level, with quark anomalous magnetic moment as a parameter.

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