Exact density functional for hard rod mixtures derived from Markov chain approach

Details Exact density functional for hard rod mixtures derived from Markov chain approach Exact density functional for hard rod mixtures derived from Markov chain approach

2012-01-19

arxiv.org/abs/1201.4064v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

Using a Markov chain approach we rederive the exact density functional for hard rod mixtures on a one-dimensional lattice, which forms the basis of the lattice fundamental measure theory. The transition probability in the Markov chain depends on a set of occupation numbers, which reflects the property of a zero-dimensional cavity to hold at most one particle. For given mean occupation numbers (density profile), an exact expression for the equilibrium distribution of microstates is obtained, that means an expression for the unique external potential that generates the density profile in equilibrium. By considering the rod ends to fall onto lattice sites, the mixture is always additive.

Affiliated with

Also associated with

No associations

Rating

Exact density functional for hard rod mixtures derived from Markov chain approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Exact density functional for hard rod mixtures derived from Markov chain approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact density functional for hard rod mixtures derived from Markov chain approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-254140