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Related papers: Liquid Drop Model for Nuclear Matter in the Dilute…

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We consider the liquid drop model with a positive background density in the thermodynamic limit. We prove a two-term asymptotics for the ground state energy per unit volume in the dilute limit. Our proof justifies the expectation that…

Mathematical Physics · Physics 2026-02-16 Rupert L. Frank , Mathieu Lewin , Robert Seiringer

The phenomenon of liquid-gas phase transition occurring in heavy ion collisions at intermediate energies is a subject of contemporary interest. In statistical models of fragmentation, the liquid drop model is generally used to calculate the…

Nuclear Theory · Physics 2020-09-09 G. Chaudhuri , S. Mallik

Traditionally, the difference in binding energy from the experimental value with respect to the theoretical liquid-drop model value, has been seen as indication of independent-particle character along with magicity for particular number of…

Nuclear Theory · Physics 2008-12-11 S. Afsar Abbas

An isospin and spin dependent form of the equation of state for nuclear matter is presented. This form is used for the description of nucleon interaction in a new dynamic model. Preliminary calculations show that the new approach makes…

Nuclear Theory · Physics 2015-06-15 Zbigniew Sosin , Jinesh Kallunkathariyil

Driven chemical reactions can control the macroscopic properties of droplets, like their size. Such active droplets are critical in structuring the interior of biological cells. Cells also need to control where and when droplets appear, so…

Soft Condensed Matter · Physics 2024-03-15 Noah Ziethen , Jan Kirschbaum , David Zwicker

The importance of quantum effects for exotic nuclear shapes is demonstrated. Based on the example of a sheet of nuclear matter of infinite lateral dimensions but finite thickness, it is shown that the quantization of states in momentum…

Nuclear Theory · Physics 2009-11-06 Jan Toke , W. Udo Schroeder

Homogeneous nucleation is formulated within the context of fluctuating hydrodynamics. It is shown that for a colloidal or macromolecular system in the strong damping limit the most likely path for nucleation can be determined by gradient…

Soft Condensed Matter · Physics 2011-10-27 James F. Lutsko

We construct new equations of state for baryons at sub-nuclear densities for the use in core-collapse simulations of massive stars. The abundance of various nuclei is obtained together with thermodynamic quantities. A model free energy is…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Shun Furusawa , Kohsuke Sumiyoshi , Shoichi Yamada , Hideyuki Suzuki

Fusion energy stands out as a promising alternative for a future decarbonised energy system. To be sustainable, future fusion nuclear reactors will have to produce their own tritium. In the so-called breeding blanket of a reactor, the…

Other Condensed Matter · Physics 2021-07-21 J. Martí , F. Mazzanti , G. E. Astrakharchik , L. Batet , L. Portos-Amill , B. Pedreño

The coefficients of the volume, surface, coulomb, asymmetry and pairing energy terms of the semiempirical liquid drop model mass formula have been determined by furnishing best fit to the observed mass excesses. Slightly different sets of…

Nuclear Theory · Physics 2007-05-23 P. Roy Chowdhury , D. N. Basu

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

We investigate the high-temperature effect on the nuclear matter that consists of mixture of nucleons and all nuclei in the dense and hot stellar environment. The individual nuclei are described within the compressible liquid-drop model…

Nuclear Theory · Physics 2018-03-07 Shun Furusawa , Igor Mishustin

The liquid-gas phase transition in finite nuclei is studied in a heated liquid-drop model where the drop is assumed to be in thermodynamic equilibrium with the vapour emanated from it. Changing pressure along the liquid-gas coexistence line…

Nuclear Theory · Physics 2007-05-23 Tapas Sil , S. K. Samaddar , J. N. De , S. Shlomo

A survey is given on the applications of hydrodynamic model of nucleus-nucleus collisons, focusing especially on i) the resolution of hydrodynamic equations for arbitrary configurations, by using the smoothed-particle hydrodynamic approach;…

High Energy Physics - Phenomenology · Physics 2015-06-25 Y. Hama , T. Kodama , O. Socolowski

We consider a variational model of electrified liquid drops, involving competition between surface tension and charge repulsion. Since the natural model happens to be ill-posed, we show that by adding to the perimeter a Willmore-type…

Analysis of PDEs · Mathematics 2024-09-18 Michael Goldman , Matteo Novaga , Berardo Ruffini

We present a unified description of dense matter and neutron-star structure based on simple but physically motivated models. Starting from the thermodynamics of degenerate Fermi gases, we construct an equation of state for cold, catalyzed…

Nuclear Theory · Physics 2026-01-28 Elissaios Andronopoulos , Konstantinos N. Gourgouliatos

Chemically active droplets provide simple models for cell-like systems that can grow and divide. Such active droplet systems are driven away from thermodynamic equilibrium and turn over chemically, which corresponds to a simple metabolism.…

Biological Physics · Physics 2022-09-28 Jonathan Bauermann , Christoph A. Weber , Frank Jülicher

The appearance of nuclear clusters in stellar matter at densities below nuclear saturation is an important feature in the modeling of the equation of state for astrophysical applications. There are different theoretical concepts to describe…

Nuclear Theory · Physics 2016-12-22 Helena Pais , Stefan Typel

We consider a liquid drop sitting on a rough solid surface at equilibrium, a volume constrained minimizer of the total interfacial energy. The large-scale shape of such a drop strongly depends on the micro-structure of the solid surface.…

Analysis of PDEs · Mathematics 2016-12-22 William M. Feldman , Inwon C. Kim

The behavior of nuclear matter is studied at low densities and temperatures using classical molecular dynamics with three different sets of potentials with different compressibility. Nuclear matter is found to arrange in crystalline…

Nuclear Theory · Physics 2013-05-13 C. O. Dorso , P. A. Giménez Molinelli , J. I. Nichols , J. A. López
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