239 research outputs found
Thermodynamic Properties of Correlated Strongly Degenerate Plasmas
An efficient numerical approach to equilibrium properties of strongly coupled
systems which include a subsystem of fermionic quantum particles and a
subsystem of classical particles is presented. It uses an improved path
integral representation of the many-particle density operator and allows to
describe situations of strong coupling and strong degeneracy, where analytical
theories fail. A novel numerical method is developed, which allows to treat
degenerate systems with full account of the spin scatistics. Numerical results
for thermodynamic properties such as internal energy, pressure and pair
correlation functions are presented over a wide range of degeneracy parameter.Comment: 8 pages, 4 figures, uses sprocl.sty (included) to be published in
"Progress in Nonequilibrium Green's functions", M. Bonitz (Ed.), World
Scientific 200
Density of states of the 2D system of the soft--sphere fermions by the path integral Monte Carlo simulations
The Wigner formulation of quantum mechanics is used to derive a new path
integral representation of the quantum density of state. A path integral Monte
Carlo approach is developed for the numerical investigation of the density of
states, internal energy and spin--resolved radial distribution functions for a
2D system of strongly correlated soft--sphere fermions. The peculiarities of
the density of states and internal energy distributions depending on the
hardness of the soft--sphere potential and particle density are investigated
and explained. In particular, at high enough densities the density of states
rapidly tends to a constant value, as for an ideal system of 2D fermions
Strict derivation of angular-averaged Ewald potential
In this work we strictly derive an angular-averaged Ewald potential suitable
for numerical simulations of disordered Coulomb systems. The potential was
first introduced by E. Yakub and C. Ronchi without strict mathematical
justification. Two methods are used to find the coefficients of the series
expansion of the potential: based on the Euler-Maclaurin and Poisson summation
formulas. The expressions for each coefficient is represented as a finite
series containing derivatives of Jacobi theta functions. We also demonstrate
the formal equivalence of the Poisson and Euler-Maclaurin summation formulas in
the three-dimensional case. The effectiveness of the angular-averaged Ewald
potential is shown by the example of calculating the Madelung constant for a
number of crystal lattices
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