* Berk Hess <[email protected]> [2009-06-16 13:56:46 +0200]:
Hi, I don't know what is going wrong in your calculations. I repeated your calculations with a script for many distances and the forces perfectly match the numerical derivative of the potential. Example: distance, pot, force: 3.998 -40.569943757001 -5.14772e+00 4.000 -40.559660943670 -5.13585e+00 4.002 -40.549401856871 -5.12399e+00 The numerical derivative of pot at d=4 (a=2) gives 5.135475, which gives a difference of 0.0004 kJ/mol. I expect this difference to go down if I take the points closer together.
At first many thanks for performing the testsi and the advice. This procedure allowed me to track down, where difference arises from. It showed the at small distances my code got inconsitent, when comparing energies and forces. Unfortunately I was using the gmx_erfc and it seems that for small values of r I somehow got wrong values. I tried the different #define statements but nothing changed considerable. So finally it was clear that my summation method in the reciprocal part was buggy. However now I fixed this by changing the summation. The effect is, that rounding errors cancel out for k and -k and I achieve the same results like gromacs. Now have to print out a high precision example to check how good the precision hold, when reaching machine precision. However I am very confident and in case of success, that there will be soon an error estimate for the Ewald Sum available, which will be the first step to the an implementation a tuning routine for the SPME paramters to achieve optimal balance between performance and accuracy ;) Cheers, Flo
BerkDate: Sun, 14 Jun 2009 19:11:08 +0200 From: [email protected] To: [email protected] Subject: [gmx-users] Electrostatic forces Hello Gromacs users and developers, I have a few questions concerning the calculation of the electrostatic forces in Gromacs. Unfortunately I am not able to reproduce the electrostatic forces computed by the gromacs code ( VERSION 4.0.99_DEAD_CVS_BRANCH_20090604 (double precision), compiled on MacOS X 10.5 using its native gcc and no fortran compiler ) by a self written code , that also uses double precision, though the energies derived with the different codes match perfectly. To get an idea where the deviation stems from Berk already gave me the hint to setup following configuration: A positive charge is located at (5.0+a,5.0,5.0) and a negative charge at (5.0-a,5.0,5.0) in a cubic box of size 10x10x10 and this setup for the electrostatic forces with an arbitrary parameter a, that allows me to control the strength of the interaction. Furthermore following mdp-parameter were applied to achieve a very high accuracy of the Ewald sum ( delta < 10^-18 kJ / (mol nm) compared to an infinite large cutoff ): rlist=4.5 rcoulomb=4.5 rvdw=4.5 coulomb-type=ewald knx=kny=knz=70 ewald_rtol=1.348768e-21 ( -> 1/beta=0.6666667 ) Now I checked different cases: 1. a = 2.5 -> only the reciprocal part of the Ewald sum is taken into account and we have small terms in the sums: In this case everything is perfect, apart from the forces in y and z direction. The forces as well as the energies match up the last digit. 2. a=2.0 -> both contribtions from direct and recipr. space and the amount of the terms is much larger. The energies also match perfectly, however the forces differ already by an amount of 10^-2 kJ / (mol nm). 3. a=0.2 -> very large terms Furthermore the energies fit perfectly, but the forces differ significantly. As a first resumee I have assumed the implementation of the calculation of the direct forces is wrong. Than I checked the code and compared the analog part in gromacs. To stay as compatible as much is also use gmx_erfc() in my code. The energies are derived by summing over all pairs within the cutoff.In this routine also the forces are calculated and added to the involved particles.Unfortunately there are so many sources where an an error can easily be introduce. So at first I checked terms get lost during the summation of the forces. But then I would not obtain exactly the same energies like gromacs. To exclude the possibility of a wrong calculation of the direct forces I already compared the code lines for the force calculation in gromacs (src/mdlib/tables.c line 655) and the othercode, but they also match.Can somebody give me an idea, where this deviations can arise from ? Obviously an increase of the forces yields significant differences. This can also be observed, when I decrease the box size and test case 1.). For a 4x4x4 box the deviation is as large as the actual force. Cheers, Flo Florian Dommert Dipl.-Phys. Institute for Computational Physics University Stuttgart Pfaffenwaldring 27 70569 Stuttgart Tel: +49 - 711 / 6856-3613 Fax: +49 - 711 / 6856-3658 EMail: [email protected] Home: http://www.icp.uni-stuttgart.de/~icp/Florian_Dommert !! PGP-ENCODED emails preferred !!_________________________________________________________________ What can you do with the new Windows Live? Find out http://www.microsoft.com/windows/windowslive/default.aspx _______________________________________________ gmx-users mailing list [email protected] http://lists.gromacs.org/mailman/listinfo/gmx-users Please search the archive at http://www.gromacs.org/search before posting!Please don't post (un)subscribe requests to the list. Use the www interface or send it to [email protected].Can't post? Read http://www.gromacs.org/mailing_lists/users.php
-- Florian Dommert Dipl.-Phys. Institute for Computational Physics University Stuttgart Pfaffenwaldring 27 70569 Stuttgart Tel: +49 - 711 / 6856-3613 Fax: +49 - 711 / 6856-3658 EMail: [email protected] Home: http://www.icp.uni-stuttgart.de/~icp/Florian_Dommert !! PGP-ENCODED emails preferred !!
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