2,505 research outputs found
A simple classical mapping of the spin-polarized quantum electron gas: distribution functions and local field corrections
We use the now well known spin-unpolarized exchange-correlation energy E_{xc}
of the uniform electron gas as the basic ``many-body'' input to determine the
temperature T_q of a classical Coulomb fluid having the same correlation energy
as the quantum system. It is shown that the spin-polarized pair distribution
functions (SPDFs) of the classical fluid at T_q, obtained using the
hyper-netted chain (HNC) equation are in excellent agreement with those of the
T=0 quantum fluid obtained by quantum Monte Carlo (QMC) simulations. These
methods are computationally simple and easily applied to problems which are
currently outside the scope of QMC. Results are presented for the SPDFs and the
local-field corrections to the response functions of the electron fluid at zero
and finite temperatures.Comment: 4 pags (Revtex), 3 posscript figure
Spin and Valley dependent analysis of the two-dimensional low-density electron system in Si-MOSFETS
The 2-D electron system (2DES) in Si metal-oxide field-effect transistors
(MOSFETS) consists of two distinct electron fluids interacting with each other.
We calculate the total energy as a function of the density , and the spin
polarization in the strongly-correlated low-density regime, using a
classical mapping to a hypernetted-chain (CHNC) equation inclusive of bridge
terms. Here the ten distribution functions, arising from spin and valley
indices, are self-consistently calculated to obtain the total free energy, the
chemical potential, the compressibility and the spin susceptibility. The T=0
results are compared with the 2-valley Quantum Monte Carlo (QMC) data of Conti
et al. (at T=0, ) and found to be in excellent agreement. However,
unlike in the one-valley 2DES, it is shown that {\it the unpolarized phase is
always the stable phase in the 2-valley system}, right up to Wigner
Crystallization at . This leads to the insensitivity of to the
spin polarization and to the density. The compressibility and the
spin-susceptibility enhancement calculated from the free energy confirm the
validity of a simple approach to the two-valley response based on coupled-mode
formation. The three methods, QMC, CHNC, and Coupled-mode theory agree closely.
Our results contain no {\it ad hoc} fit parameters. They agree with experiments
and do not invoke impurity effects or metal-insulator transition phenomenology.Comment: 10 pages 4 figure
Idealized Slab Plasma approach for the study of Warm Dense Matter
Recently, warm dense matter (WDM) has emerged as an interdisciplinary field
that draws increasing interest in plasma physics, condensed matter physics,
high pressure science, astrophysics, inertial confinement fusion, as well as
materials science under extreme conditions. To allow the study of well-defined
WDM states, we have introduced the concept of idealized-slab plasmas that can
be realized in the laboratory via (i) the isochoric heating of a solid and (ii)
the propagation of a shock wave in a solid. The application of this concept
provides new means for probing the dynamic conductivity, equation of state,
ionization and opacity. These approaches are presented here using results
derived from first-principles (density-functional type) theory, Thomas-Fermi
type theory, and numerical simulations.Comment: 37 pages, 21 figures, available, pdf file only. To appear in: Laser
and Particle beams. To appear more or less in this form in Laser and Particle
beam
Structure of the Local-field factor of the 2-D electron fluid. Possible evidence for correlated scattering of electron pairs
The static local-field factor (LFF) of the 2-D electron fluid is calculated
{\it nonperturbatively} using a mapping to a classical Coulomb fluid
Phys. Rev. Lett., {\bf 87}, 206. The LFF for the paramagnetic
fluid {\it differs markedly} from perturbation theory where a maximum near
2 is expected. Our LFF has a quasi-linear small-k region leading to a
maximum close to 3, in agreent with currently available quantum Monte
Carlo data. The structure in the LFF and its dependence on the density and
temperature are interpretted as a signature of correlated scattering of
electron pairs of opposite spin.The lack of structure at implies
weakened Friedel oscillations, Kohn anomalies etc.Comment: 4 pages, 3 figures, version 2 of condmat/0304034, see
http://nrcphy1.phy.nrc.ca/ims/qp/chandre/chnc/ Changs in the text, figure 2
and updated reference
The Equation of State and the Hugoniot of Laser Shock-Compressed Deuterium
The equation of state and the shock Hugoniot of deuterium are calculated
using a first-principles approach, for the conditions of the recent shock
experiments. We use density functional theory within a classical mapping of the
quantum fluids [ Phys. Rev. Letters, {\bf 84}, 959 (2000) ]. The calculated
Hugoniot is close to the Path-Integral Monte Carlo (PIMC) result. We also
consider the {\it quasi-equilibrium} two-temperature case where the Deuterons
are hotter than the electrons; the resulting quasi-equilibrium Hugoniot mimics
the laser-shock data. The increased compressibility arises from hot
pairs occuring close to the zero of the electron chemical potential.Comment: Four pages; One Revtex manuscript, two postscipt figures; submitted
to PR
Spin-polarized stable phases of the 2-D electron fluid at finite temperatures
The Helmholtz free energy F of the interacting 2-D electron fluid is
calculated nonperturbatively using a mapping of the quantum fluid to a
classical Coulomb fluid [Phys. Rev. Letters, vol. 87, 206404 (2001)]. For
density parameters rs such that rs<~25, the fluid is unpolarized at all
temperatures t=T/EF where EF is the Fermi energy. For lower densities, the
system becomes fully spin polarized for t<~0.35, and partially polarized for
0.35<t< 2, depending on the density. At rs ~25-30, and t ~0.35, an ''ambispin''
phase where F is almost independent of the spin polarization is found. These
results support recent claims, based on quantum Monte Carlo results, for a
stable, fully spin-polarized fluid phase at T = 0 for rs larger than about
25-26.Comment: Latex manuscript (4-5 pages) and two postscript figures; see also
http://nrcphy1.phy.nrc.ca/ims/qp/chandre/chnc
Spin-dependent correlation in two-dimensional electron liquids at arbitrary degeneracy and spin-polarization: CHNC approach
We apply the classical mapping technique developed recently by Dharma-wardana
and Perrot for a study of the uniform two-dimensional electron system at
arbitrary degeneracy and spin-polarization. Pair distribution functions,
structure factors, the Helmhotz free energy, and the compressibility are
calculated for a wide range of parameters. It is shown that at low temperatures
T/ T_F <0.1, T_F being the Fermi temperature, our results almost reduce to
those of zero-temperature analyses. In the region T/ T_F >= 1, the finite
temperature effects become considerable at high densities for all
spin-polarizations. We find that, in our approximation without bridge
functions, the finite temperature electron system in two dimensions remains to
be paramagnetic fluid until the Wigner crystallization density. Our results are
compared with those of three-dimensional system and indicated are the
similarities in temperature, spin-polarization, and density dependencies of
many physical properties.Comment: 8 pages, 9 figure
Analysis of transition forms towards more ecologically-oriented farming: the case of organic farming and integrated crop protection
Interdisciplinary approaches developed concerning the conversion to organic farming show that the types of conversion trajectories can be differentiated on the basis of the progression of crop protection changes within a larger framework where relationships to other âobjectsâ are transformed â the soil, products, rotations, work organisation, marketing, social networks and knowledge acquisition. In the case of integrated plant production, the extent of changes depends on the degree of recomposition of agronomic practices. This transition implies major knowledge acquisition that relies on the support and contribution of advisors and on the group dynamics that develop within a group of farmers. Transitions towards integrated crop protection are, by their nature, more reversible and therefore more fragile than the conversion to organic farming. This is due to the fact that they are not stabilised by a certification or by the market, and analysis shows that their sustainability is linked in part to their integration within a group dynamics
The 2-D electron gas at arbitrary spin polarizations and arbitrary coupling strengths: Exchange-correlation energies, distribution functions and spin-polarized phases
We use a recent approach [Phys. Rev. Letters, {\bf 84}, 959 (2000)] for
including Coulomb interactions in quantum systems via a classical mapping of
the pair-distribution functions (PDFs) for a study of the 2-D electron gas. As
in the 3-D case, the ``quantum temperature'' T_q of a classical 2-D Coulomb
fluid which has the same correlation energy as the quantum fluid is determined
as a function of the density parameter r_s. Spin-dependent exchange-correlation
energies are reported. Comparisons of the spin-dependent pair-distributions and
other calculated properties with any available 2-D quantum Monte Carlo (QMC)
results show excellent agreement, strongly favouring more recent QMC data. The
interesting novel physics brought to light by this study are: (a) the
independently determined quantum-temperatures for 3-D and 2-D are found to be
approximately the same, (i.e, universal) function of the classical coupling
constant Gamma. (b) the coupling constant Gamma increases rapidly with r_s in
2-D, making it comparatively more coupled than in 3-D; the stronger coupling in
2-D requires bridge corrections to the hyper- netted-chain method which is
adequate in 3-D; (c) the Helmholtz free energy of spin-polarized and
unpolarized phases have been calculated. The existence of a spin-polarized 2-D
liquid near r_s = 30, is found to be a marginal possibility. These results
pertain to clean uniform 2-D electron systems.Comment: This paper replaces the cond-mat/0109228 submision; the new version
include s more accurate numerical evaluation of the Helmholtz energies of the
para- and ferromagentic 2D fluides at finite temperatures. (Paper accepted
for publication in Phys. Rev. Lett.
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