Hidden collective oscillations in a disordered mean-field spin model with non-reciprocal interactions

Abstract

We study the effect of introducing separable quenched disorder on a non-equilibrium mean-field spin model exhibiting a phase transition to an oscillating state in the absence of disorder, due to non-reciprocal interactions. In the disordered model, the magnetisation and its time derivative no longer carry the signature of the phase transition to an oscillating state. However, thanks to the separable (Mattis-type) form of the disorder, the presence of oscillations can be revealed by introducing a specific, disorder-dependent observable. We also introduce generalised linear and non-linear susceptibilities associated either with the magnetisation or with its time derivative. While linear susceptibilities show no sign of a phase transition, the third-order susceptibilities present a clear signature of the onset of an oscillating phase. In addition, we show that the overlap distribution also provides evidence for the presence of oscillations, without explicit knowledge of the disorder.

References in corpus (22)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Nonreciprocity as a generic route to traveling states
• The free energy cost of accurate biochemical oscillations
• Scalar Active Mixtures: The Non-Reciprocal Cahn-Hilliard Model
• Cost and Precision of Brownian Clocks
• Hopf-Hopf bifurcation and chaotic attractors in a delayed diffusive predator-prey model with fear effect
• Entropy production of cyclic population dynamics
• Coherence of Biochemical Oscillations is Bounded by Driving Force and Network Topology
• Generalized Lotka-Volterra equations with random, non-reciprocal interactions: the typical number of equilibria
• Macroscopic limit of a bipartite Curie-Weiss model: a dynamical approach
• Phase transition in thermodynamically consistent biochemical oscillators
• Universal Critical Behavior of Noisy Coupled Oscillators
• Irreversibility in dynamical phases and transitions
• Endogenous crisis waves: a stochastic model with synchronized collective behavior
• Rhythmic behavior in a two-population mean field Ising model
• An inference problem in a mismatched setting: a spin-glass model with Mattis interaction
• Nonequilibrium Phase Transition To Temporal Oscillations In Mean-Field Spin Models
• Discontinuous phase transition from ferromagnetic to oscillating states in a nonequilibrium mean-field spin model
• Oscillations in feedback driven systems: thermodynamics and noise
• Effects of local fields in a dissipative Curie-Weiss model: Bautin bifurcation and large self-sustained oscillations
• Symmetry restoration by pricing in a duopoly of perishable goods
• Tailoring the overlap distribution in driven mean-field spin models

Cited by in corpus (4)

• Local Order Controls the Onset of Oscillations in the Nonreciprocal Ising Model
• Phase Transitions in single species Ising Models with Non-Reciprocal couplings
• Dissipation enables robust extensive scaling of multipartite correlations
• Far-from-equilibrium complex landscapes