Lennard-Jones model: Difference between revisions

Revision as of 14:10, 27 February 2007

The Lennard-Jones potential is given by

V (r) = 4 ϵ [{(\frac{σ}{r})}^{12} - {(\frac{σ}{r})}^{6}]

where:

$V (r)$ : potential energy of interaction between two particles at a distance r;

Reduced units:

Density, $ρ^{*} \equiv ρ σ^{3}$ , where $ρ = N / V$ (number of particles $N$ divided by the volume $V$ .)

Temperature; $T^{*} \equiv k_{B} T / ϵ$ , where $T$ is the absolute temperature and $k_{B}$ is the Boltzmann constant

@@ Line 5: / Line 5: @@
 where:
-* <math> V(r) </math> : Potential energy of interaction betweeen two particles at a distance r;
+* <math> V(r) </math> : potential energy of interaction between two particles at a distance r;
 * <math> \sigma </math> : diameter (length);
@@ Line 13: / Line 13: @@
 Reduced units:
-* Density, <math> \rho^* \equiv \rho \sigma^3 </math>, where <math> \rho = N/V </math> (Number of particles <math> N </math> divided by the volume <math> V </math>.)
+* Density, <math> \rho^* \equiv \rho \sigma^3 </math>, where <math> \rho = N/V </math> (number of particles <math> N </math> divided by the volume <math> V </math>.)
 * Temperature; <math> T^* \equiv k_B T/\epsilon </math>, where <math> T </math>  is the absolute temperature and <math> k_B </math> is the [[Boltzmann constant]]