Rhythmic behavior of an Ising Model with dissipation at low temperature

zbMath1465.60084arXiv2002.08244MaRDI QIDQ5856506

Daniele Tovazzi, Paolo Dai Pra, Raphaël Cerf, Marco Formentin

Publication date: 26 March 2021

Full work available at URL: https://arxiv.org/abs/2002.08244

zbMATH Keywords

collective rhythmic behaviorIsing model with dissipationself-organized complex systems

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items

Noise-induced periodicity in a frustrated network of interacting diffusions, Existence, stability and regularity of periodic solutions for nonlinear Fokker-Planck equations

Cites Work

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• A Curie-Weiss model with dissipation
• Collective periodicity in mean-field models of cooperative behavior
• Density-profile processes describing biological signaling networks: Almost sure convergence to deterministic trajectories
• Some examples of nonlinear diffusion processes having a time-periodic law
• Noise can create periodic behavior and stabilize nonlinear diffusions
• Coexistence of stable limit cycles in a generalized Curie-Weiss model with dissipation
• Concepts and models of a quantitative sociology. The dynamics of interacting populations
• Opinion dynamics with Lotka-Volterra type interactions
• Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction: a slow-fast dynamics approach
• The hipster effect: when anti-conformists all look the same
• Noise, interaction, nonlinear dynamics and the origin of rhythmic behaviors
• Multi-class oscillating systems of interacting neurons
• Synchronization for discrete mean-field rotators
• Optimal Transport