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Langevin Equation and Brownian Dynamics Simulations

  • Leonardo Dagdug,
  • Jason Peña,
  • Ivan Pompa-García

摘要

In this chapter, we aim to elucidate the details behind writing computational codes and running a Brownian dynamics simulations (BDSs). Given that the generation of random numbers serves as a crucial component in BDSs, we start by providing a comprehensive overview of all essential elements pertaining to this topic. Then, the derivation and analysis of the Langevin equation are presented. Lastly, with these theoretical foundations on hand, we show the main steps in the process of writing code and performing BDSs.