Phase-space trajectories for Lenard-Jones type Van der Waals potentials.

Version 0.2 2-5-10
To do:
(i) Refine considerably.

A=slider([0,1,40])

B=slider([0,1,40])

function(U,x)=A/x^4-B/x^2

function(U,x)

E_1=-0.2,E_2=0.2

y^2=E_1^2

Morse-type potential.

V_0=slider([0,5,40])

V_1=slider([0,5,40])

d=slider([0,10,50])

a=slider([0,5,40])

function(V,x)=V_0*[1-e^(-[x-a]/d)]^2-V_0

function(V,x)

b=slider([0,10])

c=slider([0,2*pi])

C=slider([1,10])

m=slider([0,10,10])

function(W,x)=function(U,x)*C*cos([b*x+c])

function(Y,x)=function(V,x)*C*[cos([b*x+c])]*[1+x^m]

function(W,x)

function(Y,x)

cos([b*x+c])

Phase space trajectories associated with potential P. Mass and total energy.

M=1

E=slider([-2,2])

E

function(P,x)=function(Y,x)

1/2*M*y^2+function(P,x)=E

1/2*M*y^2+function(P,x)=E/10*f,in(f,set(-10,-7,-5,-3,-1,0,1,3,5,7,10))



Author: David A. Craig <http://web.lemoyne.edu/~craigda/>

Graph of the formula

This file was created by Graphing Calculator 3.5.
Visit Pacific Tech to download the helper application to view and edit these equations live.