三维空间热传导线性化弹道-导电模型的行为

IF 1.1 4区物理与天体物理 Q4 PHYSICS, APPLIED

Technical Physics Pub Date : 2024-09-26 DOI:10.1134/S1063784224060380

S. A. Rukolaine

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引用次数: 0

摘要

基于傅立叶定律的热方程通常用于描述热传导。然而，傅立叶定律是在局部热力学平衡的假设条件下有效的，而在非常小的尺寸和短时标以及低温条件下，这一假设条件遭到了破坏。为了替代傅立叶定律，人们在各种理论框架内提出了许多模型。在本文中，我们研究了线性化弹道-导电（BC）模型框架内三维初值问题解的行为。结果发现，当热浪中的温度为负值时，会产生非物理效应。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Behavior of the Linearized Ballistic-Conductive Model of Heat Conduction in Three-Dimensional Space

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Behavior of the Linearized Ballistic-Conductive Model of Heat Conduction in Three-Dimensional Space

The heat equation, based on Fourier’s law, is commonly used for description of heat conduction. However, Fourier’s law is valid under the assumption of local thermodynamic equilibrium, which is violated in very small dimensions and short timescales, and at low temperatures. As a replacement for Fourier’s law, many models have been proposed within the framework of various theories. In this paper we study the behavior of solutions to an initial value problem in 3D in the framework of the linearized ballistic-conductive (BC) model. As a result, an unphysical effect is detected when the temperature in the heat wave takes negative values.

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来源期刊

Technical Physics 物理-物理：应用

CiteScore

1.30

自引率

14.30%

发文量

139

审稿时长

3-6 weeks

期刊介绍： Technical Physics is a journal that contains practical information on all aspects of applied physics, especially instrumentation and measurement techniques. Particular emphasis is put on plasma physics and related fields such as studies of charged particles in electromagnetic fields, synchrotron radiation, electron and ion beams, gas lasers and discharges. Other journal topics are the properties of condensed matter, including semiconductors, superconductors, gases, liquids, and different materials.