Brownian dynamics (BD) can be used to describe the motion of molecules in molecular simulation. It is a simplified version of Langevin dynamics and corresponds to the limit where no average acceleration takes place during the simulation run. This approximation can also be described as 'overdamped' Langevin dynamics, or as Langevin dynamics without inertia. The word dynamics can refer to: in physics, a branch of mechanics; see dynamics (mechanics). ... In chemistry, a molecule is an aggregate of at least two atoms in a definite arrangement held together by special forces. ... Wooden mechanical horse simulator during WWI. A simulation is an imitation of some real thing, state of affairs, or process. ... Langevin dynamics is an approach to mechanics using simplified models and using stochastic differential equations to account for omitted degrees of freedom. ... Damping is any effect, either deliberately engendered or inherent to a system, that tends to reduce the amplitude of oscillations of an oscillatory system. ... The principle of inertia is one of the fundamental laws of classical physics which are used to describe the motion of matter and how it is affected by applied forces. ...
The equation of motion is In physics, equations of motion are equations that describe the behavior of a system (e. ...
where describes the force as calculated from the particle interaction potentials; describes the velocity-dependent friction; and is a random noise term. As on average no acceleration is assumed to take place, the sum of these terms is zero.
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