论文标题
从重新归一化的频率到颗粒的热容量的对应关系
A correspondence from renormalized frequency to heat capacity for particles in an anharmonic potential
论文作者
论文摘要
对于非谐势中的颗粒，经典的力学断言振荡运动的裸露频率是重新归一化的，统计力学声称，非谐性导致对核能潜能中由颗粒组成的理想气体的热容量的校正。当频率和热容量以扰动序列表达时，就力学和统计物理学的特征长度而言，膨胀系数具有逐阶的对应关系。这种对应关系与我们的直觉形成鲜明对比，即重新归一化的频率以单个数量的形式进入统计力学。
For particles in an anharmonic potential, classical mechanics asserts that there is a renormalization of the bare frequency of the oscillatory motion, and statistical mechanics claims that the anharmonicity causes a correction to the heat capacity of an ideal gas composed of particles in the anharmonic potential. When the frequency and the heat capacity are expressed in perturbative series, respective, in terms of the characteristic lengths in mechanics and statistical physics, the expansion coefficients have an order-by-order correspondence. This correspondence is in contrast to our intuition that the renormalized frequency enters the statistical mechanics as a single quantity.
