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  • Title: Interacting hard rods on a lattice: distribution of microstates and density functionals.
    Author: Bakhti B, Müller G, Maass P.
    Journal: J Chem Phys; 2013 Aug 07; 139(5):054113. PubMed ID: 23927249.
    Abstract:
    We derive exact density functionals for systems of hard rods with first-neighbor interactions of arbitrary shape but limited range on a one-dimensional lattice. The size of all rods is the same integer unit of the lattice constant. The derivation, constructed from conditional probabilities in a Markov chain approach, yields the exact joint probability distribution for the positions of the rods as a functional of their density profile. For contact interaction ("sticky core model") between rods, we give a lattice fundamental measure form of the density functional and present explicit results for contact correlators, entropy, free energy, and chemical potential. Our treatment includes inhomogeneous couplings and external potentials.
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