16 citations · 62 across the 12 of their papers we have counts for
12 papers
Saturation Equations of State in Critical Gravitational Collapse: The Primordial Black Hole Threshold
Benaoumeur Bakhti
The threshold and scaling laws of gravitational critical collapse depend sensitively on the matter equation of state. We investigate how these quantities are modified by a generic…
An exact density-functional closure for the two-dimensional discrete wormlike chain
Benaoumeur Bakhti
We formulate an exact density-functional description of the angularly discretized two-dimensional (2D) discrete wormlike chain (DWLC) under tension. The central result is a bond-lo…
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…
Interacting hard-sphere fluids in an external field
Benaoumeur Bakhti, Gerhard Müller
We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with har…
Fonctions spéciales et polynômes orthogonaux: cours et exercices corrigés
Benaoumeur Bakhti
This report (written in French) is devoted to studying special functions the most used in physics. Special functions are a very broad branch of mathematics, theoretical physics, an…
D-dimensional self-gravitating lattice gas in general relativity
Benaoumeur Bakhti
Using a lattice equation of state combined with the D-dimensional Tolman-Oppenheimer-Volkoff equation and the Friedmann equations, we investigate the possibility of the formation o…
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…
Interacting fluids in an arbitrary external field
Benaoumeur Bakhti
We present new method for studying the equilibrium properties of interacting fluids in an arbitrary external filed. The method is valid in any dimension and it yields an exact resu…
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…