Results for the ground state energy of a finite system of dipoles in a one-dimensional crystal lattice
Results for the ground state energy of a finite system of dipoles in a one-dimensional crystal lattice
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DOI：
10.1016/j.rinp.2020.103178
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发表时间：
2020-06-01
影响因子：
5.3
通讯作者：
Ciftja, Orion
中科院分区：
文献类型：
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作者：
Ciftja, Orion
我们研究由位于规则一维晶格位置的任意数量的电偶极子组成的有限经典系统的基态能量。每个偶极子的基态能量可以在热力学极限下精确计算，但对于任意有限数量的偶极子有效的能量的精确解析表达式是不可能的。在这项工作中，我们获得了适用于任何给定有限数量偶极子的基态能量的近似解析表达式。我们报告的近似解析表达式以惊人的精度再现了基态能量的精确数值计算值。
We investigate the ground state energy of a finite classical system consisting of an arbitrary number of electric dipoles localized at the sites of a regular one-dimensional crystal lattice. The ground state energy per dipole can be exactly calculated in the thermodynamic limit but an exact analytical expression for the energy valid for an arbitrary finite number of dipoles is not possible. In this work we obtain an approximate analytical expression for the ground state energy that applies to any given finite number of dipoles. The approximate analytical expression that we report reproduces the exact numerically calculated values of the ground state energy with an astonishing accuracy.