New duality relations for classical ground states.
New duality relations for classical ground states.
复制标题
经典基态的新对偶关系。
DOI：
--
复制
发表时间：
2007
影响因子：
8.6
通讯作者：
F. Stillinger
中科院分区：
文献类型：
--
作者：
Salvatore Torquato;F. Stillinger
我们推导出新的对偶关系，将与一类软对势相关的构型能量与对偶（傅立叶变换）势的相应能量联系起来。我们通过展示如何使用有关短程势的经典基态的信息来得出有关长程势的基态性质的新结论来应用它们，反之亦然。它们还导致了相共存密度区间中 T=0 系统能量的界限、表现出无限数量“相变”的一维系统的识别，以及关于纯排斥单调势的基态的猜想。
We derive new duality relations that link the energy of configurations associated with a class of soft pair potentials to the corresponding energy of the dual (Fourier-transformed) potential. We apply them by showing how information about the classical ground states of short-ranged potentials can be used to draw new conclusions about the nature of the ground states of long-ranged potentials and vice versa. They also lead to bounds on the T=0 system energies in density intervals of phase coexistence, the identification of a one-dimensional system that exhibits an infinite number of "phase transitions," and a conjecture regarding the ground states of purely repulsive monotonic potentials.