[gmx-users] About QH entropy, could you please help me?

Ran Friedman r.friedman at bioc.uzh.ch
Wed Sep 17 15:29:25 CEST 2008

Dear Li Yang,
I forward your email to the GMX mailing list, which may be better for
you since other users can contribute as well. I'll reply there - I hope
you've subscribed to the list.

Li Yang wrote:
> Dear Ran Friedman
> I'm sorry to disturb you, my name is Li Yang, I'm a chinese student.
> I've read some paper about the calculation of QH entropy: 
>   (a)Jurgen Schlitter_ChemPhysLett1993_215_617, 
>   (b)Ioan Andricioaei_JChemPhys2001_115_6289(quasiharmonic approximation). 
> There is still something confuse me.
> (1) Why the number of the eigenvalues is 3n-6 (the last 6 values are close to zero) but not 3n ?  I practice some small examples by gromacs. (256 argon atoms in a box of 2.3nm^3, you can find this example in paper(b)). For g_covar, when -nofit, the number of eigenvalues is 3n; when -fit the number is 3n-6. It seems there are some freedoms constrainted in the "fit" process. 
> The paper' conclusion is based on a assumption that hw<<kT, say, the high frequencies vibrate (both rotation and translations, right?) can be omitted for the entropy calculations, as it were, the contributions of them is too small to be omitted. Are the freedoms mentioned above represent the freedoms of rotations and translations of the molecules. I don't know. Maybe the answer is in those papers, but I cannot catch it.
> While how to use the "nofit" result and "fit" result? The eigenv.agr in the attachment includes "fit" and "nofit" results for the example: 256 argon atoms in a box of 2.3nm^3. Why there is a big difference between them?
> (2) I "split" some time-segment to obtain the entropies in each stage to get the convergence variation of the entropy. But I doubt the feasibility of this method. If wrong, how to do?
> eg, time points: 0, 1, 2, 3, 4, 5.  and time stage:0-1, 0-2, 0-3, 0-4, 0-5, right?
> why not 0-1, 1-2, 2-3, 3-4, 4-5.
> In the maillist of gmx, the latter is not wrong because of undersampling, I don't know this meaning. Could you please offer me some suggestions or refs?
> (3) In entropy calculations, a system need to run a long time for entropy convergence, the time seems to be longer than the one which needed for energy convergence. While, for equilibrium thermodynamics simulations, how to justify whether or not the system has achieving a equilibrium stage, based on energy convergence or entropy confvergence?
> (4) For the example mentioned in the paper Ioan Andricioaei_JChemPhys2001_115_6289. I use your perl script for entropy calculation. But I don't reproduce the result. The needed time of entropy convergence is longer than the time mentioned in the paper, and so larger of my entropy. 
> I don't know why, perphas the simulation conditions is not right. My simulation files are included in the attachment. Could you give some suggestions? 
> BTW, in line 77 of your script: $w=$ev*$u*10**(-18), Does "10^-18" mean nm^-2?
> I apologize in advance if I disturb you.
> Thank you very much. Waiting for you reply.
> Best
> Li Yang 
>         Li Yang
>         liyang1980_0_0 at 163.com
>           2008-09-17

Ran Friedman
Postdoctoral Fellow
Computational Structural Biology Group (A. Caflisch)
Department of Biochemistry
University of Zurich
Winterthurerstrasse 190
CH-8057 Zurich, Switzerland
Tel. +41-44-6355593
Email: r.friedman at bioc.unizh.ch
Skype: ran.friedman

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