Commit 0833cc51 authored by athomps's avatar athomps
Browse files

Added equation for lj_cubic

git-svn-id: svn://svn.icms.temple.edu/lammps-ro/trunk@6860 f3b2605a-c512-4ea7-a41b-209d697bcdaa
parent 7d6d7628
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+4 −3
Original line number Diff line number Diff line
@@ -27,7 +27,7 @@ energy and force are continuous everywhere.
Inside the inflection point the interaction is identical to the 
standard 12/6 <A HREF = "pair_lj.html">Lennard-Jones</A> potential.
The LJ function outside the inflection point is replaced 
with a cubic function of distance. The energy, force and second
with a cubic function of distance. The energy, force, and second
derivative are continuous at the inflection point. 
The cubic coefficient A3 is chosen so
that both energy and force go to zero at the cutoff distance. 
@@ -37,9 +37,10 @@ Outside the cutoff distance the energy and force are zero.
</CENTER>
<P>The location of the inflection point rs is defined
by the LJ diameter, rs/sigma = (26/7)^1/6. The cutoff distance 
is defined by rc/rs = 67/48. The analytic expression for the 
is defined by rc/rs = 67/48 or rc/sigma = 1.737.... 
The analytic expression for the 
the cubic coefficient 
A3*rmin^3/epsilon = 27.93357 is given in the paper 
A3*rmin^3/epsilon = 27.93... is given in the paper by
Holian and Ravelo <A HREF = "#Holian">(Holian)</A>.
</P>
<P>This potential is commonly used to study the mechanical behavior
+4 −3
Original line number Diff line number Diff line
@@ -24,7 +24,7 @@ energy and force are continuous everywhere.
Inside the inflection point the interaction is identical to the 
standard 12/6 "Lennard-Jones"_pair_lj.html potential.
The LJ function outside the inflection point is replaced 
with a cubic function of distance. The energy, force and second
with a cubic function of distance. The energy, force, and second
derivative are continuous at the inflection point. 
The cubic coefficient A3 is chosen so
that both energy and force go to zero at the cutoff distance. 
@@ -34,9 +34,10 @@ Outside the cutoff distance the energy and force are zero.
 
The location of the inflection point rs is defined
by the LJ diameter, rs/sigma = (26/7)^1/6. The cutoff distance 
is defined by rc/rs = 67/48. The analytic expression for the 
is defined by rc/rs = 67/48 or rc/sigma = 1.737.... 
The analytic expression for the 
the cubic coefficient 
A3*rmin^3/epsilon = 27.93357 is given in the paper 
A3*rmin^3/epsilon = 27.93... is given in the paper by
Holian and Ravelo "(Holian)"_#Holian.

This potential is commonly used to study the mechanical behavior