Thermodynamic analysis of a long-range interacting spin system

2019 ◽  
Vol 33 (07) ◽  
pp. 1950072 ◽  
Author(s):  
Zhen-Yu Yang ◽  
Ji-Xuan Hou
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Order Phase Transition ◽  
First Order ◽  
Negative Specific Heat ◽  
Temperature Jumps ◽  
First Order Phase Transition ◽  
Canonical Approach ◽  
First Order Phase ◽  
Second Order Phase Transition

A long-range interacting Fermi chain placed in the uniform and the staggered magnetic field is studied via the micro-canonical approach. The relation between the entropy and the energy of the system is obtained by counting the number of microscopic states. We find that this system is non-ergodic and can exhibit first-order phase transition, second-order phase transition, or both. The microcanonical ensemble predicts negative specific heat regions and temperature jumps. Moreover, the global phase diagram of the system is constructed.

Thermodynamic properties of a spin-1 model with long-range interactions

2018 ◽  
Vol 32 (05) ◽  
pp. 1850053 ◽  
Author(s):  
Ji-Xuan Hou ◽  
Xu-Chen Yu
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Phase Diagram ◽  
Long Range ◽  
Order Phase Transition ◽  
First Order ◽  
First Order Phase Transition ◽  
Long Range Interactions ◽  
External Magnetic Field Strength ◽  
First Order Phase

The long-range interacting spin-1 chain placed in a staggered magnetic field is studied by means of microcanonical approach. Firstly, we study the microcanonical entropy of the system in the thermodynamic limit and find the system is non-ergodic and can exhibit either first-order phase transition or second-order phase transition by shifting the external magnetic field strength. Secondly, we construct the global phase diagram of the system and find a phase transition area in the phase diagram corresponding to the temperature jump of the first-order phase transition.

LONG RANGE ORDER IN THE BLUME-EMERY-GRIFFITHS MODEL

1991 ◽  
Vol 05 (23) ◽  
pp. 1583-1590
Author(s):  
M. CORGINI
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Order Phase Transition ◽  
Range Order ◽  
Long Range Order ◽  
First Order ◽  
First Order Phase Transition ◽  
Infrared Bounds ◽  
First Order Phase

Using the Infrared Bounds method it ws demonstrated that a first order phase transition takes place in the m-dimensional (m≥3) Blume-Emery-Griffiths model.

scholarly journals Van der Waals-Like Phase Transition from Holographic Entanglement Entropy in Lorentz Breaking Massive Gravity

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Xian-Ming Liu ◽  
Hong-Bo Shao ◽  
Xiao-Xiong Zeng
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Entanglement Entropy ◽  
Massive Gravity ◽  
First Order ◽  
Holographic Entanglement Entropy ◽  
Ads Black Holes ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Second Order Phase Transition

Phase transition of AdS black holes in Lorentz breaking massive gravity has been studied in the framework of holography. We find that there is a first-order phase transition (FPT) and second-order phase transition (SPT) both in Bekenstein-Hawking entropy- (BHE-) temperature plane and in holographic entanglement entropy- (HEE-) temperature plane. Furthermore, for the FPT, the equal area law is checked and for the SPT, the critical exponent of the heat capacity is also computed. Our results confirm that the phase structure of HEE is similar to that of BHE in Lorentz breaking massive gravity, which implies that HEE and BHE have some potential underlying relationship.

scholarly journals Holographic Phase Transition Probed by Nonlocal Observables

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
Xiao-Xiong Zeng ◽  
Li-Fang Li
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Order Phase Transition ◽  
Entanglement Entropy ◽  
Second Order ◽  
Stable Phase ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Second Order Phase Transition

From the viewpoint of holography, the phase structure of a 5-dimensional Reissner-Nordström-AdS black hole is probed by the two-point correlation function, Wilson loop, and entanglement entropy. As the case of thermal entropy, we find for all the probes that the black hole undergoes a Hawking-Page phase transition, a first-order phase transition, and a second-order phase transition successively before it reaches a stable phase. In addition, for these probes, we find that the equal area law for the first-order phase transition is valid always and the critical exponent of the heat capacity for the second-order phase transition coincides with that of the mean field theory regardless of the size of the boundary region.

scholarly journals Gravitational wave signals of dark matter freeze-out

2021 ◽  
Vol 2021 (2) ◽  
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.

Discovering a First-Order Phase Transition in the Li–CeO2 System

Nano Letters ◽  
2017 ◽  
Vol 17 (2) ◽  
pp. 1282-1288 ◽  
Author(s):  
Kaikai Li ◽  
Xiaoye Zhou ◽  
Anmin Nie ◽  
Sheng Sun ◽  
Yan-Bing He ◽  
...  
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase
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