Fluids with power-law repulsion: Hyperuniformity and energy fluctuations.

IF 2.3 4区 物理与天体物理 Q3 PHYSICS, CONDENSED MATTER
H Diamant, E C Oǧuz
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引用次数: 0

Abstract

We revisit the equilibrium statistical mechanics of a classical fluid of point-like particles with repulsive power-law pair interactions, focusing on density and energy fluctuations at finite temperature. Such long-range interactions, decaying with inter-particle distanceras1/rsinddimensions, are known to fall into two qualitatively different categories. Fors < d('strongly' long-range interactions) there are screening of correlations and suppression of large-wavelength density fluctuations (hyperuniformity). These effects eliminate density modes with arbitrarily large energy. Fors > d('weakly' long-range interactions) screening and hyperuniformity do not occur. Using scaling arguments, variational analysis, and Monte Carlo simulations, we find another qualitative distinction. Fors⩾d/2the strong repulsion at short distances leads to enhanced small-wavelength density fluctuations, decorrelating particle positions. This prevents indefinitely negative entropy and large energy fluctuations. The distinct behaviors fors⩾d/2ands

具有幂律排斥力的流体:超均匀性和能量波动。
我们重温了具有斥力幂律对相互作用的点状粒子经典流体的平衡统计力学,重点是有限温度下的密度和能量波动。众所周知,在 $d$ 维中,这种长程相互作用随粒子间距离 $r$ 衰减为 1/r^s$,可分为两种性质不同的类别。对于 $sd$("弱 "长程相互作用),屏蔽和超均匀性不会发生。利用缩放论证、变异分析和蒙特卡罗模拟,我们发现了另一种质的区别。对于 $s\geq d/2$,短距离的强斥力导致小波长密度波动增强,使粒子位置不相关。这就避免了无限负熵和大能量波动。对于 $s\geq d/2$ 和 $s
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来源期刊
Journal of Physics: Condensed Matter
Journal of Physics: Condensed Matter 物理-物理:凝聚态物理
CiteScore
5.30
自引率
7.40%
发文量
1288
审稿时长
2.1 months
期刊介绍: Journal of Physics: Condensed Matter covers the whole of condensed matter physics including soft condensed matter and nanostructures. Papers may report experimental, theoretical and simulation studies. Note that papers must contain fundamental condensed matter science: papers reporting methods of materials preparation or properties of materials without novel condensed matter content will not be accepted.
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