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Using Simulations to Teach Statistical Physics

机译:使用模拟来教导统计物理

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摘要

An important goal of any physics course is student understanding of the key concepts. Another goal is to provide the students with the tools needed to do the physics. Pragmatic concerns make it difficult to achieve both of these goals. Many physics courses overemphasize theory, formal manipulations, and problem solving, and do not sufficiently explore related aspects of experimental and computational physics. The de-emphasis of experimental physics is partly due to the large costs both in money and time. The relative lack of computational physics is due to inertia, the amount of beautiful theory that we wish to show our students, and the time commitment involved in developing appropriate educational materials and in student time. Also, the time spent writing, modifying, and using computer programs can be excessive. Because much of statistical physics can naturally be expressed in terms of computer algorithms and because there are very few exact results accessible to undergraduates, a course in statistical physics is a natural one for incorporating a significant computational component. We will argue that not only is a computational approach valuable, if not necessary, for an understanding of the concepts in statistical physics, but it also provides an introduction to the tools we use in research. We will present an approach that is pedagogically motivated as well as practical.
机译:任何物理课程的一个重要目标是学生对关键概念的理解。另一个目标是为学生提供处理物理所需的工具。务实的担忧使得难以实现这两种目标。许多物理课程过度强调理论,正式操纵和解决问题,并且不充分探索实验和计算物理的相关方面。实验物理学的去强调部分是由于金钱和时间的大成本。相对缺乏计算物理学是由于惯性,我们希望向学生展示我们的学生的美丽理论,以及参与发展适当的教育材料和学生时间的时间承诺。此外,花费写作,修改和使用计算机程序的时间可以过多。由于大多数统计物理可以自然地以计算机算法表达,并且由于本科生可以获得很少的精确结果,因此统计物理学的课程是用于结合重要的计算分量的自然。我们将争辩说,如果没有必要,这不仅是计算方法,如果没有必要,以了解统计物理学中的概念,但它还提供了我们在研究中使用的工具的介绍。我们将提出一种教育动机和实用的方法。

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