16 citations · 62 across the 12 of their papers we have counts for
6 papers · 1 filter
Thermodynamics of interacting hard rods on a lattice
Tounsi Benmessabih, Benaoumeur Bakhti, Reda Chellali
We present an exact derivation of the isobaric partition function of lattice hard rods with arbitrary nearest neighbor interactions. Free energy and all thermodynamics functions ar…
Density profiles of a self-gravitating lattice gas in one, two, and three dimensions
Benaoumeur Bakhti, Divana Boukari, Michael Karbach +2
We consider a lattice gas in spaces of dimensionality . The particles are subject to a hardcore exclusion interaction and an attractive pair interaction that sat…
Monodisperse hard rods in external potentials
Benaoumeur Bakhti, Michael Karbach, Philipp Maass +1
We consider linear arrays of cells of volume populated by monodisperse rods of size , , subject to hardcore exclusion interaction. Each…
Interacting hard rods on a lattice: Distribution of microstates and density functionals
Benaoumeur Bakhti, Gerhard Müller, Philipp Maass
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 rod…
Statistically interacting vacancy particles
Benaoumeur Bakhti, Michael Karbach, Philipp Maass +2
The equilibrium statistical mechanics of one-dimensional lattice gases with interactions of arbitrary range and shape between first-neighbor atoms is solved exactly on the basis of…
Exact density functional for hard rod mixtures derived from Markov chain approach
Benaoumeur Bakhti, Stephan Schott, Philipp Maass
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…