Dynamical phase transitions and self-organized criticality in a theoretical spring-block model

1995 ◽  
Vol 51 (3) ◽  
pp. 1916-1928 ◽  
Author(s):  
W.-S. Liu ◽  
Y. N. Lu ◽  
E. J. Ding
Keyword(s):  
Phase Transitions ◽  
Block Model ◽  
Dynamical Phase ◽  
Self Organized ◽  
Dynamical Phase Transitions ◽  
Self Organized Criticality

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.

scholarly journals Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics

2018 ◽  
Vol 97 (9) ◽  
Author(s):  
Bruno Mera ◽  
Chrysoula Vlachou ◽  
Nikola Paunković ◽  
Vítor R. Vieira ◽  
Oscar Viyuela
Keyword(s):  
Phase Transitions ◽  
Finite Temperature ◽  
Dynamical Phase ◽  
Dynamical Phase Transitions ◽  
Loschmidt Echo

Exploring dynamical phase transitions with cold atoms in an optical  cavity

Nature ◽  
2020 ◽  
Vol 580 (7805) ◽  
pp. 602-607 ◽  
Author(s):  
Juan A. Muniz ◽  
Diego Barberena ◽  
Robert J. Lewis-Swan ◽  
Dylan J. Young ◽  
Julia R. K. Cline ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Cold Atoms ◽  
Optical Cavity ◽  
Dynamical Phase ◽  
Dynamical Phase Transitions
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