I'm not sure what you mean by a simulation obeying the Central Limit
Theorem. That is related to the Law of Large Numbers and a characteristic
of random variables. A simulation
The Ergodic Hypothesis is just that, a hypothesis. I don't think it can be
proven in general, but may be proven or dis-proven for certain systems (I'm
afraid I don't know of any specific examples beyond the 1d harmonic
oscillator).
There is sometimes talk in the literature of things being "more ergodic" or
"less ergodic," but I think the terminology is not necessarily standard. I
suppose a statement such as "T-REMD simulations may be more ergodic than
conventional MD simulations." would be seen as rather inoffensive by the
general community.
Regards,
Brian
On Fri, Oct 25, 2013 at 10:28 AM, Francesco Pietra <chiendarret.gmail.com>wrote:
> Hello:
> There was recently a thread here on T-REMD, which was very much
> instructive. Reexamining the points raised, I was now wondering whether the
> "central limit theorem" and the "ergodic hypothesis" are obeyed by a
> correct T-REMD. Beg pardon if these questions have already been explicitly
> or implicitly answered, and I missed the point.
>
> thanks
>
> francesco pietra
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--
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Brian Radak : BioMaPS
Institute for Quantitative Biology
PhD candidate - York Research Group : Rutgers, The State
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Department of Chemistry : Piscataway, NJ
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Received on Fri Oct 25 2013 - 08:00:04 PDT
