Updated doc page with delta info and simplified example

This commit is contained in:
Sievers
2020-03-04 19:08:57 -07:00
parent 0723bf3db7
commit 968f44601c
4 changed files with 27 additions and 911 deletions

View File

@ -49,6 +49,24 @@ by two times *Delta*.
.. note:: .. note::
It is important to choose a suitable value for delta, the magnitude of
atom displacements that are used to generate finite difference
approximations to the exact forces. For typical systems, a value in
the range 1e-xxx to 1e-yyy will probably work well. However, the
best value will depend on a multitude of factors including the LAMMPS
unit style, the stiffness of the interatomic potential,the
thermodynamic state of the material being probed, and so on. The only
way to be sure that you have made a good choice is to do a
sensitivity study on a representative atomic configuration, sweeping
over a wide range of values of delta. If delta is too small, the
output forces will vary erratically due to truncation effects. If
delta is increased beyond a certain point, the output forces will
start to vary smoothly with delta, due to growing contributions from
higher order derivatives. In between these two limits, the numerical
force values should be largely independent of delta.
.. note::
The cost of each energy evaluation is essentially the cost of an MD The cost of each energy evaluation is essentially the cost of an MD
timestep. This invoking this fix once has a cost of 2N timesteps, timestep. This invoking this fix once has a cost of 2N timesteps,
where N is the total number of atoms in the system (assuming all atoms where N is the total number of atoms in the system (assuming all atoms

View File

@ -1,886 +0,0 @@
LAMMPS description
864 atoms
0 bonds
0 angles
0 dihedrals
0 impropers
1 atom types
0 bond types
0 angle types
0 dihedral types
0 improper types
0.0000000 32.146000 xlo xhi
0.0000000 32.146000 ylo yhi
0.0000000 32.146000 zlo zhi
Atoms
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776 776 1 0.0000000 16.0730000 21.4310000 10.7150000
777 777 1 0.0000000 16.0730000 21.4310000 16.0730000
778 778 1 0.0000000 16.0730000 21.4310000 21.4310000
779 779 1 0.0000000 16.0730000 21.4310000 26.7880000
780 780 1 0.0000000 16.0730000 21.4310000 32.1460000
781 781 1 0.0000000 16.0730000 26.7880000 5.3580000
782 782 1 0.0000000 16.0730000 26.7880000 10.7150000
783 783 1 0.0000000 16.0730000 26.7880000 16.0730000
784 784 1 0.0000000 16.0730000 26.7880000 21.4310000
785 785 1 0.0000000 16.0730000 26.7880000 26.7880000
786 786 1 0.0000000 16.0730000 26.7880000 32.1460000
787 787 1 0.0000000 16.0730000 32.1460000 5.3580000
788 788 1 0.0000000 16.0730000 32.1460000 10.7150000
789 789 1 0.0000000 16.0730000 32.1460000 16.0730000
790 790 1 0.0000000 16.0730000 32.1460000 21.4310000
791 791 1 0.0000000 16.0730000 32.1460000 26.7880000
792 792 1 0.0000000 16.0730000 32.1460000 32.1460000
793 793 1 0.0000000 21.4310000 5.3580000 5.3580000
794 794 1 0.0000000 21.4310000 5.3580000 10.7150000
795 795 1 0.0000000 21.4310000 5.3580000 16.0730000
796 796 1 0.0000000 21.4310000 5.3580000 21.4310000
797 797 1 0.0000000 21.4310000 5.3580000 26.7880000
798 798 1 0.0000000 21.4310000 5.3580000 32.1460000
799 799 1 0.0000000 21.4310000 10.7150000 5.3580000
800 800 1 0.0000000 21.4310000 10.7150000 10.7150000
801 801 1 0.0000000 21.4310000 10.7150000 16.0730000
802 802 1 0.0000000 21.4310000 10.7150000 21.4310000
803 803 1 0.0000000 21.4310000 10.7150000 26.7880000
804 804 1 0.0000000 21.4310000 10.7150000 32.1460000
805 805 1 0.0000000 21.4310000 16.0730000 5.3580000
806 806 1 0.0000000 21.4310000 16.0730000 10.7150000
807 807 1 0.0000000 21.4310000 16.0730000 16.0730000
808 808 1 0.0000000 21.4310000 16.0730000 21.4310000
809 809 1 0.0000000 21.4310000 16.0730000 26.7880000
810 810 1 0.0000000 21.4310000 16.0730000 32.1460000
811 811 1 0.0000000 21.4310000 21.4310000 5.3580000
812 812 1 0.0000000 21.4310000 21.4310000 10.7150000
813 813 1 0.0000000 21.4310000 21.4310000 16.0730000
814 814 1 0.0000000 21.4310000 21.4310000 21.4310000
815 815 1 0.0000000 21.4310000 21.4310000 26.7880000
816 816 1 0.0000000 21.4310000 21.4310000 32.1460000
817 817 1 0.0000000 21.4310000 26.7880000 5.3580000
818 818 1 0.0000000 21.4310000 26.7880000 10.7150000
819 819 1 0.0000000 21.4310000 26.7880000 16.0730000
820 820 1 0.0000000 21.4310000 26.7880000 21.4310000
821 821 1 0.0000000 21.4310000 26.7880000 26.7880000
822 822 1 0.0000000 21.4310000 26.7880000 32.1460000
823 823 1 0.0000000 21.4310000 32.1460000 5.3580000
824 824 1 0.0000000 21.4310000 32.1460000 10.7150000
825 825 1 0.0000000 21.4310000 32.1460000 16.0730000
826 826 1 0.0000000 21.4310000 32.1460000 21.4310000
827 827 1 0.0000000 21.4310000 32.1460000 26.7880000
828 828 1 0.0000000 21.4310000 32.1460000 32.1460000
829 829 1 0.0000000 26.7880000 5.3580000 5.3580000
830 830 1 0.0000000 26.7880000 5.3580000 10.7150000
831 831 1 0.0000000 26.7880000 5.3580000 16.0730000
832 832 1 0.0000000 26.7880000 5.3580000 21.4310000
833 833 1 0.0000000 26.7880000 5.3580000 26.7880000
834 834 1 0.0000000 26.7880000 5.3580000 32.1460000
835 835 1 0.0000000 26.7880000 10.7150000 5.3580000
836 836 1 0.0000000 26.7880000 10.7150000 10.7150000
837 837 1 0.0000000 26.7880000 10.7150000 16.0730000
838 838 1 0.0000000 26.7880000 10.7150000 21.4310000
839 839 1 0.0000000 26.7880000 10.7150000 26.7880000
840 840 1 0.0000000 26.7880000 10.7150000 32.1460000
841 841 1 0.0000000 26.7880000 16.0730000 5.3580000
842 842 1 0.0000000 26.7880000 16.0730000 10.7150000
843 843 1 0.0000000 26.7880000 16.0730000 16.0730000
844 844 1 0.0000000 26.7880000 16.0730000 21.4310000
845 845 1 0.0000000 26.7880000 16.0730000 26.7880000
846 846 1 0.0000000 26.7880000 16.0730000 32.1460000
847 847 1 0.0000000 26.7880000 21.4310000 5.3580000
848 848 1 0.0000000 26.7880000 21.4310000 10.7150000
849 849 1 0.0000000 26.7880000 21.4310000 16.0730000
850 850 1 0.0000000 26.7880000 21.4310000 21.4310000
851 851 1 0.0000000 26.7880000 21.4310000 26.7880000
852 852 1 0.0000000 26.7880000 21.4310000 32.1460000
853 853 1 0.0000000 26.7880000 26.7880000 5.3580000
854 854 1 0.0000000 26.7880000 26.7880000 10.7150000
855 855 1 0.0000000 26.7880000 26.7880000 16.0730000
856 856 1 0.0000000 26.7880000 26.7880000 21.4310000
857 857 1 0.0000000 26.7880000 26.7880000 26.7880000
858 858 1 0.0000000 26.7880000 26.7880000 32.1460000
859 859 1 0.0000000 26.7880000 32.1460000 5.3580000
860 860 1 0.0000000 26.7880000 32.1460000 10.7150000
861 861 1 0.0000000 26.7880000 32.1460000 16.0730000
862 862 1 0.0000000 26.7880000 32.1460000 21.4310000
863 863 1 0.0000000 26.7880000 32.1460000 26.7880000
864 864 1 0.0000000 26.7880000 32.1460000 32.1460000

View File

@ -1,20 +0,0 @@
#############################
#Atoms types - mass - charge#
#############################
#@ 1 atom types #!THIS LINE IS NECESSARY DON'T SPEND HOURS FINDING THAT OUT!#
variable Ar equal 1
#############
#Atom Masses#
#############
mass ${Ar} 39.903
###########################
#Pair Potentials - Tersoff#
###########################
pair_style lj/cubic
pair_coeff * * 0.0102701 3.42

View File

@ -1,15 +1,19 @@
# Numerical difference calculation of error in forces # Numerical difference calculation of error in forces
units metal units metal
atom_style full atom_style atomic
boundary p p p lattice fcc 5.358000
read_data argon.lmp region box block 0 6 0 6 0 6
create_box 1 box
include ff-argon.lmp create_atoms 1box
mass 1 39.903
velocity all create 10 2357 mom yes dist gaussian velocity all create 10 2357 mom yes dist gaussian
pair_style lj/cubic
pair_coeff * * 0.0102701 3.42
neighbor 1 bin neighbor 1 bin
timestep 0.001 timestep 0.001