无限（半）经典链上热力学量的有效数值计算
Efficient numerical evaluation of thermodynamic quantities on infinite (semi-)classical chains
摘要：
本文提出了一种有效的数值方法来计算（准）一维经典系统的自由能密度和相关的热力学量，该方法将传递算子方法与积分核的数值离散化相结合，采用积分规则。对于解析核，该技术表现出指数收敛的正交点的数量。作为演示，我们应用该方法的经典粒子链，半经典非线性薛定谔方程和一个经典系统的圆柱晶格。
英文摘要：
This work presents an efficient numerical method to evaluate the free energy density and associated thermodynamic quantities of (quasi) one-dimensional classical systems, by combining the transfer operator approach with a numerical discretization of integral kernels using quadrature rules. For analytic kernels, the technique exhibits exponential convergence in the number of quadrature points. As demonstration, we apply the method to a classical particle chain, to the semiclassical nonlinear Schrödinger equation and to a classical system on a cylindrical lattice.
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