An exact relation between free energy fluctuations and bond chaos in the Sherrington-Kirkpatrick model
arXiv:0802.3007 · doi:10.1088/1742-5468/2008/04/P04018
Abstract
Using a variant of the interpolating Hamiltonian technique, we show that there exists, in the Sherrington-Kirkpatrick spin glass, an exact connection between the sample-to-sample fluctuations of the free energy and bond chaos involving 2- and 4-replica overlaps between replicas with different but correlated bonds. This relation is used to derive an upper bound of the fluctuations.
arXiv comment13 pages, no figures
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Cited by in corpus (11)
- Eigenvalue method to compute the largest relaxation time of disordered systems
- Typical versus averaged overlap distribution in Spin-Glasses : Evidence for the droplet scaling theory
- Simulations of Ground State Fluctuations in Mean-Field Ising Spin Glasses
- Bond chaos in the Sherrington-Kirkpatrick model
- Chaos in Temperature in Diluted Mean-Field Spin-Glasses
- Interface free-energy exponent in the one-dimensional Ising spin glass with long-range interactions in both the droplet and broken replica symmetry regions
- Scaling of the largest dynamical barrier in the one-dimensional long-range Ising spin-glass
- One-dimensional Ising spin-glass with power-law interaction : real-space renormalization at zero temperature
- Chaos properties of the one-dimensional long-range Ising spin-glass
- Ground States of the Sherrington-Kirkpatrick Spin Glass with Levy Bonds
- Sample-to-sample fluctuations and bond chaos in the -component spin glass