Tailoring the overlap distribution in driven mean-field spin models
arXiv:2312.07453 · doi:10.1103/PhysRevB.109.184203
Abstract
In a statistical physics context, inverse problems consist in determining microscopic interactions such that a system reaches a predefined collective state. A complex collective state may be prescribed by specifying the overlap distribution between microscopic configurations, a notion originally introduced in the context of disordered systems like spin-glasses. We show that in spite of the absence of disorder, nonequilibrium spin models exhibiting spontaneous magnetization oscillations provide a benchmark to prescribe a non-trivial overlap distribution with continuous support, qualitatively analogous to the ones found in disordered systems with full replica symmetry breaking. The overlap distribution can be explicitly tailored to take a broad range of predefined shapes by monitoring the spin dynamics. The presence of a non-trivial overlap distribution is traced back to an average over infinitely many pure states, a feature shared with spin-glasses, although the structure of pure states is here much simpler.
References in corpus (31)
- Weak pairwise correlations imply strongly correlated network states in a neural population
- Statistical mechanics for natural flocks of birds
- Inverse statistical problems: from the inverse Ising problem to data science
- Experimental evidence of replica symmetry breaking in random lasers
- Clustering of solutions in the random satisfiability problem
- Perturbation Biology: inferring signaling networks in cellular systems
- Local equilibrium in bird flocks
- Nonequilibrium Critical Dynamics of the 2D XY model
- Properties of equilibria and glassy phases of the random Lotka-Volterra model with demographic noise
- Overlap fluctuations in glass-forming liquids
- Spin glass models from the point of view of spin distributions
- Morphological computation and decentralized learning in a swarm of sterically interacting robots
- Learning to flock through reinforcement
- Macroscopic limit of a bipartite Curie-Weiss model: a dynamical approach
- Learning to Control Active Matter
- Efficient measurement of point-to-set correlations and overlap fluctuations in glass-forming liquids
- Rhythmic behavior in a two-population mean field Ising model
- Optimal active particle navigation meets machine learning
- 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
- Measuring overlaps in mesoscopic spin glasses via conductance fluctuations
- Low-temperature behavior of the statistics of the overlap distribution in Ising spin-glass models
- Is glass a state of matter?
- Effects of local fields in a dissipative Curie-Weiss model: Bautin bifurcation and large self-sustained oscillations
- Environmental path-entropy and collective motion
- Universality class of the mode-locked glassy random laser
- Out of Equilibrium Dynamics of the Hopfield Model in its spin-glass phase
- Beyond storage capacity in a single model neuron: Continuous replica symmetry breaking
- Replica symmetry breaking for Ulam's problem
- Replica-symmetry breaking for directed polymers