Parisi's mean-field solution for spin glasses as an analytic continuation in the replica number
Parisi's mean-field solution for spin glasses as an analytic continuation in the replica number
复制标题
Parisi 的自旋玻璃平均场解作为复制数的解析延续
DOI：
10.1088/0305-4470/16/4/006
复制
发表时间：
1983
期刊：
影响因子：
--
通讯作者：
I. Kondor
中科院分区：
文献类型：
--
作者：
I. Kondor
Parisi's replica symmetry breaking solution for spin glasses is extended to finite replica number n. The free energy Fp(n) obtained this way, as well as its first two derivatives with respect to n, are shown to join the corresponding values in the Sherrington-Kirkpatrick (SK) solution at a characteristic value ns(T), where stability breaks down in the latter. The continuation composed of the SK branch FSK(n) for n>or=ns(T) and the Parisi branch FP(n) for 0<or=n<or=nS(T) fulfils the requirements of convexity, monotonicity and stability for all n.
