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| 耦合系统的朗之万动力学产生法 |
| 邓琪敏, 邹亚中, 包景东 |
| 北京师范大学物理学系, 北京 100875 |
| The Langevin dynamics approach to generate solid interaction system |
| Deng Qi-Min, Zou Ya-Zhong, Bao Jing-Dong |
| Department of Physics, Beijing Normal University, Beijing 100875, China |
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摘要： 提出一种朗之万动力学方法获取处于热平衡态耦合系统内部振子坐标，数值模拟了单端固定简谐振子链的时间演化行为，并将其平衡性质与解析解进行了比较. 结果表明了朗之万动力学方法的有效性. 推广应用于非简谐四次方型耦合系统，模拟得到振子的四次方均坐标，与理论值验证；以模拟结果作为样本点计算哈密顿量，其能量分布与Boltzmann分布相符.
关键词：
耦合振子链
Langevin方程
稳态分布
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Abstract： We have studied two probability potentials of a collinear oscillator atom chain and developed a Langevin dynamics approach for calculation. In the case of the harmonic chains, results of the Monte Carlo simulations are compared with the analytical solutions to verify the validity of this approach. In the case of 4-times coupled oscillator chains, the results of numerical simulations are used to the calculation of Hamiltonian. Then the system's energy distribution and the Maxwell-Boltzmann distribution are compared, and found to be in agreement with each other.
Keywords：
collinear oscillator chain
Langevin equation
equilibrium distribution
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收稿日期: 2014-03-03
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| 基金: 国家自然科学基金（批准号：11175021）和高等学校博士学科点专项科研基金（批准号：20120003110025）资助的课题. |
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2014, Vol. 63 
