On the stability of randomly frustrated systems with finite connectivity
On the stability of randomly frustrated systems with finite connectivity
复制标题
具有有限连通性的随机失挫系统的稳定性
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
C. Dominicis
中科院分区：
文献类型：
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作者：
P. Mottishaw;C. Dominicis
研究了零温度附近具有有限连接性的稀疏自旋系统，即Viana-Bray随机键系统。给出了用整体序参数g表示的定态自由能，以及g的运动方程和稳定性矩阵。对于副本对称性没有被破坏的情况，他们对Mezard和Parisi(1985)以及Kanter和Sompolinsky(1987)给出的ansatz附近的稳定性矩阵对角化，接近渗流点(α=1)和反铁磁键的小混合物。他们发现，复制对称的ansatz在自旋玻璃相和部分铁磁相中是不稳定的。
The authors study dilute spin systems with finite connectivity, i.e. Viana-Bray random bond systems, near zero temperature. The authors give a stationary free energy in terms of a global order parameter g together with the equation of motion for g and the stability matrix. For the case where replica symmetry is not broken, they diagonalise the stability matrix around the ansatz given by Mezard and Parisi (1985), and Kanter and Sompolinsky (1987), close to the point of percolation ( alpha =1) and for small admixtures of antiferromagnetic bonds. They find that the replica symmetric ansatz is unstable in the spin glass phase and in part of the ferromagnetic phase.