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I have been scouring through the internet to find any source that explicitly states the constant parameters used for simulating a simple molecular system like the one I'm interested in currently, simply put I'm simulating the following system;

$$m \frac{dv}{dt} = -\lambda v - k x + \sqrt{2\lambda K_b T}\ \frac{dW_t}{dt}$$ where $dW_t \sim \mathcal{N}(0,dt)$

What are physically reasonable values for $\lambda, m$, and $k$? various papers I'm finding are either omitting the values (by describing force fields?) or are of systems too complex for my case as I'm only considering a single dimensional in a harmonic trap. The project is meant to be simple as it is a demonstration for a high school class.

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    $\begingroup$ You have two instances of $\lambda$. Are they the same? Dimensionally they do not seem to be $\endgroup$ Commented Jul 24 at 2:22
  • $\begingroup$ Also, the problem definition is currently too vague for an answer. simple molecular system and single dimensional in a harmonic trap do not tell me much of anything. You'll need to describe what you are trying to model better. Is this a bulk fluid? Something moving thru a fluid? $\endgroup$ Commented Jul 24 at 2:25
  • $\begingroup$ @RC_23 Yes, something like a peptide or a relatively large protein moving through a liquid. As for $\lambda$, yes it is describing the same quantity being a damping constant in $\frac{kg}{s}$ $\endgroup$ Commented Jul 24 at 2:29

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