Self-Organized Bistability Associated With First-Order Phase Transitions

Abstract

Self-organized criticality elucidates the conditions under which physical and biological systems tune themselves to the edge of a second-order phase transition, with scale invariance. Motivated by the empirical observation of bimodal distributions of activity in neuroscience and other fields, we propose and analyze a theory for the self-organization to the point of phase-coexistence in systems exhibiting a first-order phase transition. It explains the emergence of regular avalanches with attributes of scale-invariance which coexist with huge anomalous ones, with realizations in many fields.

arXiv comment5 pages, 3 figures

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Cited by in corpus (27)

• Colloquium: Criticality and dynamical scaling in living systems
• Hysteresis, neural avalanches and critical behaviour near a first-order transition of a spiking neural network
• Feedback mechanisms for self-organization to the edge of a phase transition
• Universality in driven open quantum matter
• Neutral theory and scale-free neural dynamics
• Hybrid-type synchronization transitions: where marginal coherence, scale-free avalanches, and bistability live together
• Time-series thresholding and the definition of avalanche size
• Theoretical foundations of studying criticality in the brain
• Emergent Bistability and Switching in a Nonequilibrium Crystal
• Self-organized bistability and its possible relevance for brain dynamics
• Rigidity-Controlled Crossover: From Spinodal to Critical Failure
• Distribution of current fluctuations in a bistable conductor
• A bifurcation integrates information from many noisy ion channels
• Chaos and correlated avalanches in excitatory neural networks with synaptic plasticity
• Non-normality, reactivity, and intrinsic stochasticity in neural dynamics: a non-equilibrium potential approach
• Synchronization dynamics on the EU and US power grids
• Hyperuniformity and conservation laws in non-equilibrium systems
• Self-organized bistability on scale-free networks
• Dynamical and structural properties of an absorbing phase transition: a case study from granular systems
• Barrier-Controlled Non-Equilibrium Criticality in Reactive Particle Systems
• Mechanisms of self-organized quasicriticality in neuronal networks models
• Emergence of oscillations in fixed energy sandpile models on complex networks
• Lattice ultrasensitivity amplifies signals in E. coli without fine-tuning
• Flux-driven turbulent transport using penalisation in the Hasegawa-Wakatani system
• Entropy production and irreversibility in the linearized stochastic Amari neural model
• Sandpile cascades on oscillator networks: the BTW model meets Kuramoto
• Dynamical Tipping in a Quantum Limit Cycle