scholarly journals A NON EQUILIBRIUM MEAN FIELD THEORY ABOUT THERMALLY INDUCED FIRST ORDER PHASE TRANSITION

1997 ◽  
Vol 46 (2) ◽  
pp. 345
Author(s):  
LIU JUN-MIN ◽  
ZHANG JIN-XIU
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Order Phase Transition ◽  
Mean Field Theory ◽  
Mean Field ◽  
Thermally Induced ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Non Equilibrium

A FIRST ORDER PHASE TRANSITION IN ISING FERRIMAGNETS

1995 ◽  
Vol 09 (21) ◽  
pp. 1347-1351 ◽  
Author(s):  
HASAN M. AL MUKADAM ◽  
DIMO I. UZUNOV
Keyword(s):  
Phase Transition ◽  
Order Parameter ◽  
Mean Field Theory ◽  
Mean Field ◽  
First Order ◽  
First Order Phase Transition ◽  
Exchange Constants ◽  
The Mean ◽  
First Order Phase ◽  
Ising Spins

The mean field theory is used for the analysis of a two-sublattice system of Ising spins, which describes ferro-, antiferro-, and ferrimagnetic orderings. It is proven that the phase transition in these systems is of a first order when the exchange constants of the sublattices are different. The free energy, the order parameter profiles and the latent heat of the phase transition are calculated for almost equivalent sublattices.

scholarly journals $$ T\overline{T} $$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
A. Gorsky ◽  
D. Pavshinkin ◽  
A. Tyutyakina
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Order Phase Transition ◽  
Equations Of Motion ◽  
Third Order ◽  
Yang Mills ◽  
First Order ◽  
Large N ◽  
First Order Phase Transition ◽  
First Order Phase

Abstract We consider the $$ T\overline{T} $$ T T ¯ deformation of 2d large N YM theory on a cylinder, sphere and disk. The collective field theory Hamiltonian for the deformed theory is derived and the particular solutions to the equations of motion of the collective theory are found for the sphere. The account of the non-perturbative branch of the solution amounts to the first-order phase transition at the (A, τ) plane. We analyze the third-order phase transition in the deformed theory on the disk and derive the critical area as a function of the boundary holonomy. A kind of Hagedorn behavior in the spectral density is discussed.

scholarly journals Mean-Field Analysis of Sourlas Codes with Adiabatic Reverse Annealing

2021 ◽  
pp. 319-334
Author(s):  
Shunta Arai
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Ground State ◽  
Mean Field ◽  
Error Correcting Codes ◽  
Field Analysis ◽  
First Order ◽  
Candidate Solution ◽  
First Order Phase Transition ◽  
First Order Phase

AbstractIn this chapter, we analyze the typical performance of adiabatic reverse annealing (ARA) for Sourlas codes. Sourlas codes are representative error-correcting codes related to p-body spin-glass models and have a first-order phase transition for $$p>2$$ p > 2 , which degrades the estimation performance. In the ARA formulation, we introduce the initial Hamiltonian which incorporates the prior information of the solution into a vanilla quantum annealing (QA) formulation. The ground state of the initial Hamiltonian represents the initial candidate solution. To avoid the first-order phase transition, we apply ARA to Sourlas codes. We evaluate the typical ARA performance for Sourlas codes using the replica method. We show that ARA can avoid the first-order phase transition if we prepare for the proper initial candidate solution.

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