Eigenstates and Phase Transitions of Ising Spin Network Immersed in the Incommensurate Exchange Field

1988 ◽  
Vol 57 (11) ◽  
pp. 3682-3685 ◽  
Author(s):  
Muneyuki Date
Keyword(s):  
Phase Transitions ◽  
Exchange Field ◽  
Spin Network ◽  
Ising Spin

PROPERTIES AND PHASE TRANSITIONS IN FRUSTRATED ISING SPIN SYSTEMS

1994 ◽  
pp. 202-237
Author(s):  
Ojiro Nagai ◽  
Tsuyoshi Horiguchi ◽  
Seiji Miyashita
Keyword(s):  
Phase Transitions ◽  
Spin Systems ◽  
Ising Spin

DYNAMICAL PHASE TRANSITIONS IN OPINION NETWORKS: COEXISTENCE OF OPPORTUNISTS AND CONTRARIANS

2008 ◽  
Vol 22 (25n26) ◽  
pp. 4674-4683 ◽  
Author(s):  
KARL E. KÜRTEN
Keyword(s):  
Phase Transitions ◽  
Chaotic Behavior ◽  
Critical Parameters ◽  
Dynamical Phase ◽  
Edge Of Chaos ◽  
Ising Spin ◽  
Interacting Agents ◽  
Dynamical Phase Transitions ◽  
Space Time Evolution

We study a model for the emergence of collective decision making, consisting of N interacting agents, whose opinions are described by Ising spin variables. In particular, we present dynamical phase transitions from ordered to chaotic behavior in the space-time evolution of the binary choice network. One focus of this study is the determination of critical parameters, where the network is placed “at the edge of chaos,” i.e., at a subtle compromise between stability and flexibility, where the system has both, the necessary stability and the potential for “evolutionary” improvements.

PHASE TRANSITIONS IN SPIN GLASSES

2009 ◽  
Vol 20 (09) ◽  
pp. 1411-1421
Author(s):  
A. P. YOUNG
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Spin Glass ◽  
Spin Glasses ◽  
Finite Size ◽  
Three Dimensions ◽  
Scaling Analysis ◽  
Zero Field ◽  
Exchange Method ◽  
Ising Spin

Some recent progress in Monte Carlo simulations of spin glasses will be presented. The problem of slow dynamics at low temperatures is partially alleviated by use of the parallel tempering (replica exchange) method. A useful technique to check for equilibration (applicable only for a Gaussian distribution) will be discussed. It will be argued that a finite size scaling analysis of the scaled correlation length of the system is a good approach with which to investigate phase transitions in spin glasses. This method will be used to study two questions: (i) whether there is a phase transition in zero field in the Heisenberg spin glass in three dimensions, and (ii) whether there is phase transition in a magnetic field in an Ising spin glass, also in three dimensions.

scholarly journals Characterisations of phase transitions in Ising spin systems

1972 ◽  
Vol 24 (4) ◽  
pp. 310-335 ◽  
Author(s):  
M. Marinaro ◽  
G. L. Sewell
Keyword(s):  
Phase Transitions ◽  
Spin Systems ◽  
Ising Spin

scholarly journals Large-scale Ising spin network based on degenerate optical parametric oscillators

2016 ◽  
Vol 10 (6) ◽  
pp. 415-419 ◽  
Author(s):  
Takahiro Inagaki ◽  
Kensuke Inaba ◽  
Ryan Hamerly ◽  
Kyo Inoue ◽  
Yoshihisa Yamamoto ◽  
...  
Keyword(s):  
Large Scale ◽  
Optical Parametric Oscillators ◽  
Spin Network ◽  
Parametric Oscillators ◽  
Ising Spin ◽  
Optical Parametric
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