Institute of Physics, Academy of Sciences of the Czech Republic, Na Slovance 2, CZ-18221 Praha, Czech Republic.
J Phys Condens Matter. 2011 Jan 19;23(2):022204. doi: 10.1088/0953-8984/23/2/022204. Epub 2010 Dec 9.
We investigate the low-temperature equilibrium state of the p-state mean-field Potts glass. It is the presently believed that there is a temperature interval T(2) < T < T(c) within which the equilibrium state for p > p(*) approximately 2.82 is described by the cavity method corresponding to the first level of replica-symmetry breaking. We demonstrate that this locally stable solution is globally unstable and that true equilibrium in the region of instability of the replica-symmetric solution (T < T(c)), marked by the highest free energy, is a state displaying a continuous replica-symmetry breaking.
我们研究了 p 态平均场玻色玻璃的低温平衡态。目前人们认为,在温度区间 T(2) < T < T(c)内,对于 p > p(*)约为 2.82 的平衡态,可以用对应于第一级复制对称性破缺的腔方法来描述。我们证明了这个局部稳定的解是全局不稳定的,而真正的平衡状态是在复制对称性解的不稳定区域(T < T(c))内,由最高自由能标记,是一个表现出连续复制对称性破缺的状态。