Lennard-Jones model: Difference between revisions

Revision as of 19:24, 16 February 2007

Lennard-Jones Potential:

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

where:

$V (r)$ : Potential energy of interaction betweeen 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

J. E. Lennard-Jones "Cohesion", Proc. Phys. Soc. Lond. volume 43 pages 461 (1931)

@@ Line 15: / Line 15: @@
 * 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
+* Temperature; <math> T^* \equiv k_B T/\epsilon </math>, where <math> T </math>  is the absolute temperature and <math> k_B </math> is the [[Ludwig Eduard Boltzmann | Boltzmann]] constant
 ==References==