Tuning Pair and Higher-Order Mutual Information Measures in Oscillator Systems with N $N$ -Dependent Frequencies

IF 2.9 4区 工程技术 Q1 MULTIDISCIPLINARY SCIENCES
Saúl J.C. Salazar, Humberto G. Laguna, Robin P. Sagar
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引用次数: 0

Abstract

Analytical expressions for pair and higher-order mutual information measures in position and momentum space are examined for many-particle ( N $N$ ) coupled oscillator systems in their ground states. These relations reveal that the magnitudes of the statistical correlations monotonically increase with the strength of the particle interaction for all particle numbers ( N $N$ ). On the other hand, the magnitudes of the measures monotonically decrease as N $N$ increases, when the intensities of the one- and two-body potentials are fixed. However, extremal points appear in the measures as N $N$ is varied, when the intensity of the one-body potential is N $N$ -dependent, and set at N α $N^{-\alpha }$ . Fractional values of α $\alpha$ lead to the appearance of extremal points. These results illustrate how the intensity of the one-body potential can be used to tune the behavior of the statistical correlation measures in these systems.

Abstract Image

Abstract Image

具有 N 个相关频率的振荡器系统中的调谐对和高阶互信息量
研究了处于基态的多粒子(N$N$)耦合振荡器系统在位置和动量空间的对互信息量和高阶互信息量的分析表达式。这些关系揭示了在所有粒子数(N$N$)下,统计相关性的大小随粒子相互作用强度的增加而单调增加。另一方面,当一体和二体势能的强度固定时,随着 N$N$ 的增加,统计量的大小单调地减小。然而,随着 N$N$ 的变化,当一体势能的强度与 N$N$ 有关时,测量值中会出现极值点,并设定为 N-α$N^{-\alpha }$。α$\alpha$ 的分数值会导致极值点的出现。这些结果说明了如何利用单体势的强度来调整这些系统中统计相关量的行为。
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来源期刊
Advanced Theory and Simulations
Advanced Theory and Simulations Multidisciplinary-Multidisciplinary
CiteScore
5.50
自引率
3.00%
发文量
221
期刊介绍: Advanced Theory and Simulations is an interdisciplinary, international, English-language journal that publishes high-quality scientific results focusing on the development and application of theoretical methods, modeling and simulation approaches in all natural science and medicine areas, including: materials, chemistry, condensed matter physics engineering, energy life science, biology, medicine atmospheric/environmental science, climate science planetary science, astronomy, cosmology method development, numerical methods, statistics
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