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Numerical Simulation of Optically Trapped Particles

机译:光学俘获粒子的数值模拟

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Some randomness is present in most phenomena, ranging from biomolecules and nanodevices to financial markets and human organizations. However, it is not easy to gain an intuitive understanding of such stochastic phenomena, because their modeling requires advanced mathematical tools, such as sigma algebras, the ltd formula and martingales. Here, we discuss a simple finite difference algorithm that can be used to gain understanding of such complex physical phenomena. In particular, we simulate the motion of an optically trapped particle that is typically used as a model system in statistical physics and has a wide range of applications in physics and biophysics, for example, to measure nanoscopic forces and torques.
机译:从生物分子和纳米器件到金融市场和人类组织,大多数现象都存在某种随机性。但是,要获得对此类随机现象的直观了解并不容易,因为它们的建模需要高级的数学工具,例如sigma代数,ltd公式和mar。在这里,我们讨论一种简单的有限差分算法,该算法可用于了解这种复杂的物理现象。特别是,我们模拟光学陷阱粒子的运动,该粒子通常在统计物理学中用作模型系统,并且在物理学和生物物理学中具有广泛的应用,例如,用于测量纳米力和扭矩。

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