Phase transition to long-range ferromagnetism inAu82Fe18and the associated critical exponents

1986 ◽  
Vol 33 (7) ◽  
pp. 5010-5015 ◽  
Author(s):  
A. K. Gangopadhyay ◽  
S. B. Roy ◽  
A. K. Majumdar
2010 ◽  
Vol 79 (12) ◽  
pp. 123704 ◽  
Author(s):  
Yoshikazu Tabata ◽  
Kousuke Matsuda ◽  
Satoshi Kanada ◽  
Teruo Yamazaki ◽  
Takeshi Waki ◽  
...  

1998 ◽  
Vol 7 ◽  
pp. 571-573 ◽  
Author(s):  
S. Sugai ◽  
T. Shinoda ◽  
N. Kobayashi ◽  
Z. Hiroi ◽  
M. Takano

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
Edson D. Leonel

A phase transition from integrability to nonintegrability in two-dimensional Hamiltonian mappings is described and characterized in terms of scaling arguments. The mappings considered produce a mixed structure in the phase space in the sense that, depending on the combination of the control parameters and initial conditions, KAM islands which are surrounded by chaotic seas that are limited by invariant tori are observed. Some dynamical properties for the largest component of the chaotic sea are obtained and described in terms of the control parameters. The average value and the deviation of the average value for chaotic components of a dynamical variable are described in terms of scaling laws, therefore critical exponents characterizing a scaling function that describes a phase transition are obtained and then classes of universality are characterized. The three models considered are: The Fermi-Ulam accelerator model, a periodically corrugate waveguide, and variant of the standard nontwist map.


2018 ◽  
Vol 32 (05) ◽  
pp. 1850053 ◽  
Author(s):  
Ji-Xuan Hou ◽  
Xu-Chen Yu

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.


2020 ◽  
Vol 57 (1) ◽  
pp. 012701
Author(s):  
杨志远 Yang Zhiyuan ◽  
邵雅婷 Shao Yating ◽  
吴泉英 Wu Quanying ◽  
郝翔 Hao Xiang

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