THE STUDY OF QUENCHED BOND RANDOMNESS BY WANG–LANDAU ALGORITHM

Monte Carlo simulations using the recently proposed Wang–Landau algorithm are performed to the q = 8 state Potts model in two dimension with various degrees of randomness. We systematically studied the effect of quenched bond randomness to system which has first-order phase transition. All simulations and measurements were done from pure case r = 1 to r = 0.4. Physical quantities such as energy density and ground-state entropy were evaluated at all temperatures. We have also obtained probability distributions of energy to monitor softening of transitions. It appears quite feasible to simulate spin systems with quenched bond randomness by Wang–Landau algorithm.

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The first-order phase transition in the large polaron ground state

Physics Letters A ◽

10.1016/0375-9601(78)90314-6 ◽

1978 ◽

Vol 67 (4) ◽

pp. 311-312 ◽

Cited By ~ 28

Author(s):

R. Mańka

Keyword(s):

Phase Transition ◽

Order Phase Transition ◽

Ground State ◽

First Order ◽

First Order Phase Transition ◽

Large Polaron ◽

First Order Phase

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Glassy magnetic ground state in La4/3Sr5/3Mn2O7: Role of first order phase transition and short range antiferromagnetic correlations

Journal of Applied Physics ◽

10.1063/1.4759348 ◽

2012 ◽

Vol 112 (8) ◽

pp. 083915 ◽

Cited By ~ 3

Author(s):

S. Chattopadhyay ◽

S. Giri ◽

S. Majumdar

Keyword(s):

Phase Transition ◽

Order Phase Transition ◽

Ground State ◽

Short Range ◽

Magnetic Ground State ◽

First Order ◽

First Order Phase Transition ◽

Antiferromagnetic Correlations ◽

First Order Phase

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Mean-Field Analysis of Sourlas Codes with Adiabatic Reverse Annealing

10.1007/978-981-16-4095-7_13 ◽

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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First-order phase transition to a nonmagnetic ground state in nonsymmorphic NbCrP

Physical Review B ◽

10.1103/physrevb.102.205110 ◽

2020 ◽

Vol 102 (20) ◽

Author(s):

Yoshiki Kuwata ◽

Hisashi Kotegawa ◽

Hideki Tou ◽

Hisatomo Harima ◽

Qing-Ping Ding ◽

...

Keyword(s):

Phase Transition ◽

Order Phase Transition ◽

Ground State ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

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Surface ordering and destruction of the first order phase transition smectic A-smectic C* in free standing smectic films

Journal de Physique II ◽

10.1051/jp2:1994237 ◽

1994 ◽

Vol 4 (10) ◽

pp. 1865-1874 ◽

Cited By ~ 10

Author(s):

E. Demikhov ◽

U. Hoffmann ◽

H. Stegemeyer

Keyword(s):

Phase Transition ◽

Order Phase Transition ◽

Free Standing ◽

First Order ◽

Surface Ordering ◽

Smectic A ◽

Smectic C ◽

First Order Phase Transition ◽

First Order Phase

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Gravitational wave signals of dark matter freeze-out

Journal of High Energy Physics ◽

10.1007/jhep02(2021)022 ◽

2021 ◽

Vol 2021 (2) ◽

Cited By ~ 3

Author(s):

Danny Marfatia ◽

Po-Yan Tseng

Keyword(s):

Phase Transition ◽

Dark Matter ◽

Gravitational Waves ◽

Order Phase Transition ◽

First Order ◽

Stochastic Background ◽

First Order Phase Transition ◽

Relic Abundance ◽

First Order Phase ◽

Freeze Out

Abstract We study the stochastic background of gravitational waves which accompany the sudden freeze-out of dark matter triggered by a cosmological first order phase transition that endows dark matter with mass. We consider models that produce the measured dark matter relic abundance via (1) bubble filtering, and (2) inflation and reheating, and show that gravitational waves from these mechanisms are detectable at future interferometers.

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Dark Matter production from relativistic bubble walls

Journal of High Energy Physics ◽

10.1007/jhep03(2021)288 ◽

2021 ◽

Vol 2021 (3) ◽

Author(s):

Aleksandr Azatov ◽

Miguel Vanvlasselaer ◽

Wen Yin

Keyword(s):

Phase Transition ◽

Dark Matter ◽

Electroweak Phase Transition ◽

First Order ◽

Matter Production ◽

First Order Phase Transition ◽

Relic Abundance ◽

Higgs Portal ◽

First Order Phase ◽

Gravitational Background

Abstract In this paper we present a novel mechanism for producing the observed Dark Matter (DM) relic abundance during the First Order Phase Transition (FOPT) in the early universe. We show that the bubble expansion with ultra-relativistic velocities can lead to the abundance of DM particles with masses much larger than the scale of the transition. We study this non-thermal production mechanism in the context of a generic phase transition and the electroweak phase transition. The application of the mechanism to the Higgs portal DM as well as the signal in the Stochastic Gravitational Background are discussed.

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