Lennard-Jones model: Difference between revisions

Revision as of 17:57, 16 February 2007

Lennard-Jones Potential:

$V(r)=4\epsilon \left[\left({\frac {\sigma }{r}}\right)^{12}-\left({\frac {\sigma }{r}}\right)^{6}\right]$

where:

$V(r)$ : Potential energy of interaction betweeen two particles at a distance r;

Reduced units:

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

Temperature; $T^{*}\equiv k_{B}T/\epsilon$ , 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^* = k_B T/\epsilon$, whre $T$ 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 [[Boltzmann]] constant
 ==References==