Gradient correction and Bohm potential for 2D and 1D electron gases at a finite temperature
arXiv:1709.05310 · doi:10.1002/ctpp.201700113
Abstract
From the static polarization function of electrons in the random phase approximation the quantum Bohm potential for the quantum hydrodynamic description of electrons, and the density gradient correction to the Thomas-Fermi free energy at a finite temperature for the 2D and 1D cases are derived. The behavior of the Bohm potential and of the density gradient correction as a function of the degeneracy parameter is discussed. Based on recent developments in the fluid description of quantum plasmas, the Bohm potential for the high frequency domain is presented.
References in corpus (6)
- Quantum Hydrodynamic Theory for Plasmonics: Impact of the Electron Density Tail
- Quantum hydrodynamics for plasmas -- a Thomas-Fermi theory perspective
- Towards ab initio thermodynamics of the electron gas at strong degeneracy
- Kirzhnits gradient expansion for a D-dimensional Fermi gas
- Leading gradient correction to the kinetic energy for two-dimensional fermion gases
- Quantum hydrodynamic modeling of edge modes in chiral Berry plasmons
Cited by in corpus (10)
- Ab initio simulation of warm dense matter
- Linear-response time-dependent density functional theory approach to warm dense matter with adiabatic exchange--correlation kernels
- Shock Physics in Warm Dense Matter--a quantum hydrodynamics perspective
- From Density Response to Energy Functionals and Back: An ab initio perspective on Matter Under Extreme Conditions
- Imposing Correct Jellium Response Is Key to Predict the Density Response by Orbital-Free DFT
- Nonlocal Orbital-Free kinetic pressure tensors for the Fermi gas
- Ion core effect on transport characteristics in warm dense matter
- Investigation of the influence of single particle oscillations on the transport properties of dense plasma
- Self-gravitating quantum stars with a globally relevant Bohm potential
- Density-Functional-Theory Perspective on the Non-Linear Response of Correlated Electrons Across Temperature Regimes