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From: roberson@ibd.nrc-cnrc.gc.ca (Walter Roberson)
Newsgroups: comp.soft-sys.matlab
Subject: Re: particle interaction
Date: Mon, 11 Feb 2008 20:39:55 +0000 (UTC)
Organization: National Research Council Canada - Conseil national de rechereches Canada
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In article <fopbv1$7p$1@fred.mathworks.com>,
matias nordin <matias.nordin@gmail.com> wrote:

>As a physicist I would like to treat the problem as follows:

>The particles are connected by springs all with the equal
>spring force so that in absence of f(x), they are equally
>distributed. And f(x) is introduced as a external potential
> distorting the equal spacing. The dynamics is not of
>importance, only to find equilibrium.

Is the potential associated with the position (i.e., a field),
or is the potential associated with the particle (e.g.,
by varying the spring forces) ?

Should we read that "springs" as implying that (in the
absence of the external force) the dynamic potential between
any two adjacent particles is proportional to the square of the
distance between them?

If the density is inversely proportional to the function,
then adjusting the function by a constant (to avoid negative
numbers) introduces non-linear distortions and the value of
the constant would become crucial in determining the distribution.
-- 
   "I was very young in those days, but I was also rather dim."
   -- Christopher Priest