物理系统中随机效应：混沌和随机共振

摘要

针对现代统计物理中两种非线性动力学行为，即混沌和随机共振，本文利用数值解法进行了模拟和解释。混沌是确定性系统中内禀随机性的一种体现，深化了人们对必然和偶然的认识，而随机共振是随机系统的内在有序性体现，改变了人们对于噪声的观念，证实了噪声对于系统序的建立具有建设性作用。这些结果对于学生通过物理计算更好地理解物理系统特性具有参考意义。%Aiming to comprehend the nonlinear behaviors in modern physics, this paper utilizes the numerical method to illustrate the chaos effect and the stochastic resonance phenomenon. Chaos demonstrates the internal randomness of deterministic systems, which develops our view on occasionality and inevitability. While, stochastic resonance is the cooperative effect in the random systems, and the benefits of noise in certain nonlinear systems are adequately appreciated. These results are interesting for students to understand certain physical systems clearly via the physical calculations.