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The parameters of the nuclear liquid drop model, such as the volume, surface, symmetry, and curvature constants, as well as bulk radii, are extracted from the non-relativistic and relativistic energy density functionals used in microscopic…

Nuclear Theory · Physics 2009-11-11 P. -G. Reinhard , M. Bender , W. Nazarewicz , T. Vertse

The volume coefficient $K$(=incompressibility of the nuclear matter), the Coulomb coefficient $K_c$, and the volume-symmetry coefficient $K_{vs}$ of the nucleus incompressibility are studied in the framework of the relativistic mean field…

Nuclear Theory · Physics 2008-11-26 H. Kouno , T. Mitsumori , N. Noda , K. Koide , A. Hasegawa , M. Nakano

Surface and curvature properties of asymmetric nuclear matter are studied beyond the proton drip. Using the semiclassical extended Thomas-Fermi method, the calculations are performed in the non-relativistic and relativistic meson field…

Nuclear Theory · Physics 2009-10-30 M. Centelles , M. Del Estal , X. Vinas

The incompressibility (compression modulus) $K_{\rm 0}$ of infinite symmetric nuclear matter at saturation density has become one of the major constraints on mean-field models of nuclear many-body systems as well as of models of high…

Nuclear Theory · Physics 2015-06-19 J. R. Stone , N. J. Stone , S. A. Moszkowski

We study statistical properties of a continuum model of polynuclear surface growth on an infinite substrate. We develop a self-consistent mean-field theory which is solved to deduce the growth velocity and the extremal behavior of the…

Statistical Mechanics · Physics 2009-10-30 E. Ben-Naim , A. R. Bishop , I. Daruka , P. L. Krapivsky

We derive analytical expressions for the excitation energy of the isoscalar giant monopole and quadrupole resonances in finite nuclei, by using the scaling method and the extended Thomas-Fermi approach to relativistic mean field theory. We…

Nuclear Theory · Physics 2010-12-23 S. K. Patra , X. Vinas , M. Centelles , M. Del Estal

The Fermi surface topology in the two-dimensional Hubbard model is particularly relevant for the high-temperature superconductors, whereas its theoretical research encounters with the difficulty of the analytical continuation problem. To…

Strongly Correlated Electrons · Physics 2023-05-10 Zhipeng Sun

The thermal evolution of a few thermodynamic properties of the nuclear surface like its thermodynamic potential energy, entropy and the symmetry free energy are examined for both semi-infinite nuclear matter and finite nuclei. The…

Nuclear Theory · Physics 2015-06-19 B. K. Agrawal , D. Bandyopadhyay , J. N. De , S. K. Samaddar

The relation among the volume coefficient $K$(=incompressibility of the nuclear matter), the Coulomb coefficient $K_c$, and the volume-symmetry coefficient $K_{vs}$ of the nucleus incompressibility are studied in the framework of the…

Nuclear Theory · Physics 2009-09-25 H. Kouno , T. Mitsumori , K. Koide , N. Noda , A. Hasegawa , M. Nakano

The full relaxed-density potential between spherical nuclei is considered as a sum of the macroscopic and shell-correction contributions. The macroscopic part of the potential is related to a nucleus-nucleus potential obtained in the…

Nuclear Theory · Physics 2015-06-23 V. Yu. Denisov

The effective-surface approximation is extended taking into account derivatives of the symmetry-energy density per particle with respect to the mean particle density. The isoscalar and isovector particle densities in this extended…

Nuclear Theory · Physics 2016-01-20 J. P. Blocki , A. G. Magner , P. Ring

The problem of the determination of the nuclear surface and surface symmetry energy is addressed in the framework of the Extended Thomas Fermi (ETF) approximation using Skyrme functionals. We propose an analytical model for the density…

Nuclear Theory · Physics 2016-03-23 F. Aymard , F. Gulminelli , J. Margueron

The Thomas-Fermi approximation is a powerful method that has been widely used to describe atomic structures, finite nuclei, and nonuniform matter in supernovae and neutron-star crusts. Nonuniform nuclear matter at subnuclear density is…

Nuclear Theory · Physics 2025-08-05 Shuying Li , Hong Shen , Jinniu Hu

Binding energy of symmetric nuclear matter can be accessed straightforwardly with the textbook mass-formula and a sample of nuclear masses. We show that, with a minimally modified formula (along the lines of the droplet model), the symmetry…

Nuclear Theory · Physics 2009-11-10 P. Danielewicz

The irreversible adsorption of polymers to a two-dimensional solid surface is studied. An operator formalism is introduced for chemisorption from a polydisperse solution of polymers which transforms the analysis of the adsorption process to…

Chemical Physics · Physics 2009-11-13 Radek Erban , Jonathan Chapman

We study the restriction of the Fourier transform to quadratic surfaces in vector spaces over finite fields. In two dimensions, we obtain the sharp result by considering the sums of arbitrary two elements in the subset of quadratic surfaces…

Classical Analysis and ODEs · Mathematics 2008-04-30 Alex Iosevich , Doowon Koh

A self consistent field theory for compressible polymer mixtures is developed by introducing elements of classical density functional theory into the framework of the Helfand theory. It is then applied to study free surfaces of binary (A,B)…

Condensed Matter · Physics 2009-10-28 F. Schmid

The dispersion process in particulate porous media at low saturation levels takes place over the surface elements of constituent particles and, as we have found previously by comparison with experiments, can be accurately described by…

Soft Condensed Matter · Physics 2019-06-10 Penpark Sirimark , Alex V. Lukyanov , Tristan Pryer

A comparative study of the liquid-drop model (LDM) type expansions of energy $E$ and compression modulus $K_A$ is made within the energy density formalism using Skyrme interactions. As compared to the energy expansion, it is found that, in…

Nuclear Theory · Physics 2009-09-25 V. S. Uma Maheswari , V. S. Ramamurthy , L. Satpathy

Quantum corrections to Thomas-Fermi (TF) theory are investigated for noninteracting one-dimensional fermions with known uniform semiclassical approximations to the density and kinetic energy. Their structure is analyzed, and contributions…

Quantum Gases · Physics 2017-03-15 Raphael F. Ribeiro , Kieron Burke
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