在一个无序,和固体的简单模型中,声音传播的自相一致理论
1Colorado State University, Department of Chemistry, Fort Collins, Colorado 80523, USA.
Physical review. E
|March 19, 2025
概括
我们使用随机矩阵模型在无序固体中发展了声音传播理论. 我们的发现表明,声音消失的速度表明这些材料的无干扰过渡.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 统计力学就是统计力学.
背景情况:
- 无序的固体表现出复杂的机械特性.
- 了解声音传播对于材料的表征至关重要.
研究的目的:
- 在一个无序的固体模型中开发一个自我一致的声音传播理论.
- 研究声速与物质转变之间的关系.
主要方法:
- 将固体建模为随机分布的粒子,由波弹连接在一起.
- 使用欧几里德随机矩阵模型.
- 采用两个精确的投影运算符步骤和一个因子化近似.
主要成果:
- 衍生理论确保声速的正方形仍然是非负的.
- 该模型为研究声音传播动态提供了一个框架.
结论:
- 预计声音的消失速度预示着一个不干扰的过渡.
- 这个理论提供了对无序材料的机械行为的洞察.
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