Large Deviation Property of Free Energy in p-Body Sherrington-Kirkpatrick Model(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
スポンサーリンク
概要
- 論文の詳細を見る
The cumulant generating function φ(n) and rate function Σ(f) of free energy is evaluated in the p-body Sherrington-Kirkpatrick model by the replica method with the finite replica number n. From a perturbational argument, we show that the cumulant generating function is constant in the vicinity of n=0. On the other hand, with the help of two analytic properties of φ(n), the behavior of φ(n) is derived again. However, this is also shown to be broken at a finite value of n, which gives a characteristic value in the rate function near the thermodynamic value of the free energy. Through the continuation of φ(n) as a function of n, we find a way to derive the 1RSB solution at least in this model, which is to fix the replica symmetric (RS) solution to be a monotonically increasing function.
- 社団法人日本物理学会の論文
- 2008-07-15
著者
-
Hukushima Koji
Department Of Basic Science University Of Tokyo
-
NAKAJIMA Tetsuya
Department of Basic Science, University of Tokyo
-
Nakajima Tetsuya
Department Of Basic Science University Of Tokyo
関連論文
- Computational Experiment on Glassy Dynamic Nature of Field-Cooled Magnetization in Ising Spin-Glass Model(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Analysis Method Combining Monte Carlo Simulation and Principal Component Analysis : Application to Sourlas Code(General)
- A PCA Approach to Sourlas Code Analysis
- Fragility of the Equilibrium State in the Four-Dimensional ±J Ising Spin Glass
- Field-Shift Aging Protocol on 3D Ising Spin-Glass Model : Dynamical Crossover between the Spin-Glass and Paramagnetic States(Condensed Matter : Electronic Structure, Electrical, Magnetic and Optical Properties)
- Nature of the Ordering of Three-Dimensional Heisenberg Spin Glasses
- On-line Learning of Unlearnable True Teacher through Mobile Ensemble Teachers(Cross-disciplinary physics and related areas of science and technology)
- Large Deviation Property of Free Energy in p-Body Sherrington-Kirkpatrick Model(Condensed matter: electronic structure and electrical, magnetic, and optical properties)
- Testing Error Correcting Codes by Multicanonical Sampling of Rare Events(Cross-disciplinary physics and related areas of science and technology)
- Fragility of the Equilibrium State in the Four-Dimensional ±J Ising Spin Glass
- Dynamics of One-Dimensional Ising Model without Detailed Balance Condition
- A PCA Approach to Sourlas Code Analysis
- Dynamics of One-Dimensional Ising Model without Detailed Balance Condition