165 citations · 633 across the 36 of their papers we have counts for
12 papers · 1 filter
Self-gravitating clusters of Fermi-Dirac gas with planar, cylindrical, or spherical symmetry: evolution of density profiles with temperature
Michael Kirejczyk, Gerhard Müller, Pierre-Henri Chavanis
We calculate density profiles for self-gravitating clusters of an ideal Fermi-Dirac gas with nonrelativistic energy-momentum relation and macroscopic mass at thermal equilibrium. O…
Self-gravitating clusters of Bose-Einstein gas with planar, cylindrical, or spherical symmetry: gaseous density profiles and onset of condensation
Michael Kirejczyk, Gerhard Müller, Pierre-Henri Chavanis
We calculate density profiles for self-gravitating clusters of an ideal Bose-Einstein gas with nonrelativistic energy-momentum relation and macroscopic mass at thermal equilibrium.…
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…
Disks in a narrow channel jammed by gravity and centrifuge: profiles of pressure, mass density and entropy density
Christopher Moore, Dan Liu, Benjamin Ballnus +2
This work investigates jammed granular matter under conditions that produce heterogeneous mass distributions on a mesoscopic scale. We consider a system of identical disks that are…
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…
Generalized Pauli principle for particles with distinguishable traits
Dan Liu, Jared Vanasse, Gerhard Muller +1
The s=3/2 Ising spin chain with uniform nearest-neighbor coupling, quadratic single-site potential, and magnetic field is shown to be equivalent to a system of 17 species of partic…
Interlinking motifs and entropy landscapes of statistically interacting particles
Ping Lu, Dan Liu, Gerhard Müller +1
The s=1/2 Ising chain with uniform nearest-neighbor and next-nearest-neighbor coupling is used to construct a system of floating particles characterized by motifs of up to six cons…
Taxonomy of particles in Ising spin chains
Dan Liu, Ping Lu, Gerhard Muller +1
The statistical mechanics of particles with shapes on a one-dimensional lattice is investigated in the context of the Ising chain with uniform nearest-neighbor coupling, quad…
Dimer and trimer fluctuations in the s=1/2 transverse XX chain
Oleg Derzhko, Taras Krokhmalskii, Joachim Stolze +1
Exact results for the dynamic dimer and trimer structure factors of the one-dimensional s=1/2 XX model in a transverse magnetic field () are presented and discussed in…
Introduction to the Bethe ansatz II
Michael Karbach, Kun Hu, Gerhard Muller
Building on the fundamentals introduced in part I, we employ the Bethe ansatz to study some ground-state properties (energy, magnetization, susceptibility) of the one-dimensional s…