The world of long-range interactions: A bird’s eye view

DOI10.1142/S0217751X17410184zbMath1360.82060MaRDI QIDQ2985023

Stefano Ruffo, Shamik Gupta

Publication date: 15 May 2017

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

zbMATH Keywords

long-range interactionsensemble inequivalencequasi-stationary statesnon-additivityslow relaxation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22)

Related Items (13)

Symmetry breaking by power-law coupling ⋮ Long-range interaction induced collective dynamical behaviors ⋮ Synchronization in complex networks with long-range interactions ⋮ Irreversibility from staircases in symplectic embeddings ⋮ Spontaneous collective synchronization in the Kuramoto model with additional non-local interactions ⋮ Relaxation to equilibrium in models of classical spins with long-range interactions ⋮ Non equilibrium dynamics of isolated disordered systems: the classical Hamiltonian p-spin model ⋮ Neuronal synchronization in long-range time-varying networks ⋮ Relaxation dynamics in a long-range system with mixed Hamiltonian and non-Hamiltonian interactions ⋮ Energy transmission in the forbidden band-gap of a nonlinear chain with global interactions ⋮ Fractional Klein–Gordon equation on AdS₂₊₁ ⋮ Discrete monotone method for space-fractional nonlinear reaction-diffusion equations ⋮ Energetics of critical oscillators in active bacterial baths

Cites Work

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• Thermodynamics and dynamics of systems with long-range interactions
• Equilibrium and nonequilibrium properties of systems with long-range interactions
• Physics of Long-Range Interacting Systems
• Kinetic theory of nonequilibrium stochastic long-range systems: phase transition and bistability
• Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows

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