具有有界动能的一维耦合旋转晶格在正、负温度状态下的逆温度依赖能量扩散

IF 1.7 4区物理与天体物理 Q3 PHYSICS, CONDENSED MATTER

The European Physical Journal B Pub Date : 2025-02-03 DOI:10.1140/epjb/s10051-025-00866-w

Hongbin Chen, Nianbei Li

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引用次数: 0

摘要

具有玻尔兹曼描述的负温度可以在具有有界动能的一维耦合旋转晶格等有界能项的哈密顿量中实现。一维非线性晶格模型的正常热传导行为也被发现。本文将采用平衡扩散方法系统地研究这类一维非线性晶格在正、负温度下的能量扩散行为。用高斯拟合确定了能量的正态扩散，得到了整个温度范围内与温度相关的能量扩散常数。

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Inverse temperature dependent energy diffusion in positive and negative temperature regimes for the 1d coupled rotator lattice with bounded kinetic energy

The negative temperature with Boltzmann description can be realized in Hamiltonian with bounded energy terms such as the 1d coupled rotator lattice with bounded kinetic energy. Normal heat conduction behavior has also been found for this 1d nonlinear lattice model. In this paper, we will systematically investigate the energy diffusion behavior for such 1d nonlinear lattice in both the positive and negative temperature regimes via equilibrium diffusion method. Normal energy diffusion is confirmed with Gaussian fitting and inverse temperature dependent energy diffusion constants are obtained over the whole temperature range.

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