Jellium at finite temperature
arXiv:2110.07527 · doi:10.1080/00268976.2021.1996648
Abstract
We adopt the fixed node restricted path integral Monte Carlo method within the "Worm algorithm" to simulate Wigner's Jellium model at finite, non zero, temperatures using free-particle nodes of the density matrix. The new element is that we incorporate the Worm algorithm paradigm of Prokof'ev and Svistunov in the grand canonical ensemble in order to more efficiently handle the fermionic exchanges. We present results for the structure and thermodynamic properties of the ideal Fermi gas and three points for the interacting electron gas. We treat explicitly the case of the partially polarized electron gas.
arXiv comment30 pages, 4 figures, 1 table
References in corpus (26)
- Black Holes
- Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
- Worm Algorithm for Continuous-space Path Integral Monte Carlo Simulations
- Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
- Path Integral Monte Carlo Simulation of the Warm-Dense Homogeneous Electron Gas
- Local Spin-density Approximation Exchange-correlation Free-energy Functional
- Ab initio Exchange-Correlation Free Energy of the Uniform Electron Gas at Warm Dense Matter Conditions
- {\em Ab initio} Quantum Monte Carlo simulation of the warm dense electron gas in the thermodynamic limit
- Ab initio thermodynamic results for the degenerate electron gas at finite temperature
- Accurate exchange-correlation energies for the warm dense electron gas
- A simple classical mapping of the spin-polarized quantum electron gas: distribution functions and local field corrections
- Ab Initio Quantum Monte Carlo Simulations of the Uniform Electron Gas without Fixed Nodes
- Ab Initio Quantum Monte Carlo Simulations of the Uniform Electron Gas without Fixed Nodes II: Unpolarized Case
- Fermionic path integral Monte Carlo results for the uniform electron gas at finite temperature
- Free Energy of the Uniform Electron Gas: Testing Analytical Models against First Principle Results
- Classical Representation of a Quantum System at Equilibrium: Applications
- Two-dimensional one-component plasma on a Flamm's paraboloid
- Two Component Plasma in a Flamm's Paraboloid
- Jellium at finite temperature using the restricted worm algorithm
- Analytical pair correlations in ideal quantum gases: Temperature-dependent bunching and antibunching
- One-component fermion plasma on a sphere at finite temperature
- Quantum Gibbs ensemble Monte Carlo
- Two component boson-fermion plasma at finite temperature
- The density of a fluid on a curved surface
- Two phase coexistence for the hydrogen-helium mixture
- Supercooled superfluids in Monte Carlo simulations