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数值求解耦合Gross-Pitaevskii方程组基态解的离散归一化梯度流方法OA北大核心CSTPCD

Numerical method for the ground state solution of coupled Gross-Pitaevskii equations

中文摘要英文摘要

本文提出了一种求解磁场项为常数的耦合Gross-Pitaevskii方程组基态解的数值方法.基于单组分近似理论,本文将方程组的能量函数等价为单组分的能量泛函,然后基于降阶后的能量表达式提出了离散归一化梯度流数值方法.数值算例表明,该方法高效且可靠.

In this paper,a numerical method for solving the ground state solution of the coupled Gross-Pitaevskii equations with constant magnetic field term is proposed.Based on the single mode approxima-tion theory,energy function of the equations is equivalently expressed by a reduced energy function with single component.Then,based on the method of discrete normalized gradient flow,the method is pro-posed by using the expression of reduced energy function.Numerical examples illustrate the reliability and performance of the method.

赵子尧;马强

四川大学数学学院,610064

数学

耦合Gross-Pitaevskii方程组基态解单组分近似归一化梯度流

Coupled Gross-Pitaevskii equationsGround state solutionSingle mode approximationNormalized gradient flow

《四川大学学报(自然科学版)》 2024 (001)

动态热力耦合作用下复合材料结构的高阶多尺度模型及其算法研究

9-14 / 6

国家自然科学基金(11801387);四川省自然科学基金(2022NSFSC0322)

10.19907/j.0490-6756.2024.011002

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