scholarly journals Dynamical phase transition and self-organized critical phenomena in the two-dim ensional gas lattice model

2003 ◽  
Vol 52 (11) ◽  
pp. 2757
Author(s):  
Gong Long-Yan ◽  
Tong Pei-Qing
Keyword(s):  
Phase Transition ◽  
Critical Phenomena ◽  
Lattice Model ◽  
Dynamical Phase Transition ◽  
Dynamical Phase ◽  
Self Organized

scholarly journals Analytical investigation of self-organized criticality in neural networks

2013 ◽  
Vol 10 (78) ◽  
pp. 20120558 ◽  
Author(s):  
Felix Droste ◽  
Anne-Ly Do ◽  
Thilo Gross
Keyword(s):  
Neural Networks ◽  
Stochastic Dynamics ◽  
Analytical Investigation ◽  
Homeostatic Plasticity ◽  
Dynamical Phase Transition ◽  
Discrete State ◽  
Dynamical Phase ◽  
Self Organized ◽  
Self Organized Criticality ◽  
Activity Dependent

Dynamical criticality has been shown to enhance information processing in dynamical systems, and there is evidence for self-organized criticality in neural networks. A plausible mechanism for such self-organization is activity-dependent synaptic plasticity. Here, we model neurons as discrete-state nodes on an adaptive network following stochastic dynamics. At a threshold connectivity, this system undergoes a dynamical phase transition at which persistent activity sets in. In a low-dimensional representation of the macroscopic dynamics, this corresponds to a transcritical bifurcation. We show analytically that adding activity-dependent rewiring rules, inspired by homeostatic plasticity, leads to the emergence of an attractive steady state at criticality and present numerical evidence for the system's evolution to such a state.

Dynamical phase transition of spin glasses in a magnetic field

1989 ◽  
Vol 22 (21) ◽  
pp. 4659-4664 ◽  
Author(s):  
L de Arcangelis ◽  
H J Herrmann ◽  
A Coniglio
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Spin Glasses ◽  
Dynamical Phase Transition ◽  
Dynamical Phase

scholarly journals A minimal model of dynamical phase transition

2016 ◽  
Vol 116 (5) ◽  
pp. 50009 ◽  
Author(s):  
Pelerine Tsobgni Nyawo ◽  
Hugo Touchette
Keyword(s):  
Phase Transition ◽  
Minimal Model ◽  
Dynamical Phase Transition ◽  
Dynamical Phase
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