带浮点数的格子气体自动机:分子动力学与量子计算机的格子博尔兹曼方法之间的联系
Antonio David Bastida Zamora1, Ljubomir Budinski1, Pierre Sagaut2
1Quanscient Oy, Finland.
Physical review. E
|August 19, 2025
概括
一个新的浮动格子气体自动机模型提供了一种简化,无波动的方法. 该方法为传统和量子格子博尔兹曼方法实现提供了计算效率高的替代方案.
科学领域:
- 计算物理学的计算物理.
- 流体动力学 流体动力学
背景情况:
- 整数格子气体自动机 (ILGA) 框架为模拟复杂系统提供了基础.
- 现有的格子博尔兹曼方法 (LBM) 实现可能是计算密集型,可能涉及量子方法.
研究的目的:
- 推出一个简化,无波动的变体的整数格子气体自动机.
- 为传统和量子 LBM 提供一个计算效率高的替代方案.
主要方法:
- 开发了一个浮点格子气体自动机模型,使用浮点数.
- 实现了一个独特的碰撞运算符,该运算符取自过渡概率的整体平均值.
- 确保该模型密切反映了格子博尔茨曼方法结构.
主要成果:
- 拟议的模型消除了一些格子气体自动机固有的波动.
- 新的碰撞运算符引入了非线性术语.
- 浮动格子气体自动机证明了计算效率.
结论:
- 漂浮格子气体自动机碰撞为LBM模拟提供了一个可行的和高效的替代方案.
- 这种简化的模型可能会降低流体动力学和其他复杂系统模拟中的计算成本.
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