论文标题
形式化概率力学的要素
Formalizing Elements of Probabilistic Mechanics
论文作者
论文摘要
在本文中，我们使用带有小步骤的离散随机行走在三维晶格上创建了粒子运动模型。我们严格构建粒子轨迹的概率空间。与经典力学中的确定性方法不同，在这里，我们使用粒子运动的概率特性正式得出了牛顿第一和第二运动定律的类似物。类似的概率模型可以潜在地应用于以一致的方式证明热力学定律的合理性。
In this paper we create a model of particle motion on a three-dimensional lattice using discrete random walk with small steps. We rigorously construct a probability space of the particle trajectories. Unlike deterministic approach in classical mechanics, here we use probabilistic properties of particle movement to formally derive analogues of Newton's first and second laws of motion. Similar probabilistic models can potentially be applied to justify laws of thermodynamics in a consistent manner.
