平均场自旋玻璃模型的基态能量
The ground state energy of the mean field spin glass model
摘要:
本文从吉布斯测度的函数方程出发,计算了Sherrington-Kirkpatrick自旋玻璃模型在特定温度下的极限自由能。这意味着接近复本对称性破缺和数值模拟值的基态能量$ε_0$ \[ε_0\geq -0.7833\cdots,\]的以下下限。
英文摘要:
From the study of a functional equation of Gibbs measures we calculate the limiting free energy of the Sherrington-Kirkpatrick spin glass model at a particular value of (low) temperature. This implies the following lower bound for the ground state energy $ε_0$ \[ε_0\geq -0.7833\cdots,\] close to the replica symmetry breaking and numerical simulations values.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。