scholarly journals Structure formation in soft nanocolloids: liquid-drop model

Soft Matter ◽  
2018 ◽  
Vol 14 (16) ◽  
pp. 3063-3072 ◽  
Author(s):  
A.-K. Doukas ◽  
C. N. Likos ◽  
P. Ziherl
Keyword(s):  
Structure Formation ◽  
Polymer Brushes ◽  
Liquid Drop ◽  
Star Polymers ◽  
Compressible Liquid ◽  
Liquid Drop Model ◽  
Ordered Structures ◽  
Liquid Drops

Using a model where soft nanocolloids such as spherical polymer brushes and star polymers are viewed as compressible liquid drops, we theoretically explore interactions between such particles and the ordered structures that they form.

scholarly journals Non-spherical nucleon clusters in the mantle of a neutron star: CLDM based on Skyrme-type forces

2021 ◽  
Vol 2103 (1) ◽  
pp. 012004
Author(s):  
N A Zemlyakov ◽  
A I Chugunov ◽  
N N Shchechilin
Keyword(s):  
Neutron Star ◽  
Nuclear Matter ◽  
Liquid Drop ◽  
Outer Region ◽  
Spherical Shape ◽  
Baryon Number ◽  
Compressible Liquid ◽  
Liquid Drop Model ◽  
The Core ◽  
Nuclear Clusters

Abstract Neutron stars are superdense compact astrophysical objects. The central region of the neuron star (the core) consists of locally homogeneous nuclear matter, while in the outer region (the crust) nucleons are clustered. In the outer crust these nuclear clusters represent neutron-rich atomic nuclei and all nucleons are bound within them. Whereas in the inner crust some neutrons are unbound, but nuclear clusters still keeps generally spherical shape. Here we consider the region between the crust and the core of the star, so-called mantle, where non-spherical nuclear clusters may exist. We apply compressible liquid drop model to calculate the energy density for several shape types of nuclear clusters. It allows us to identify the most energetically favorable configuration as function of baryon number density. Employing four Skyrme-type forces (SLy4 and BSk24, BSk25, BSk26), which are widely used in the neutron star physics, we faced with strong model dependence of the ground state composition. In particular, in agreement with previous works within liquid drop model, mantle is absent for SLy4 (nuclear spheres directly transit into homogeneous nuclear matter; exotic nuclear shapes do not appear).

scholarly journals The Study of Symmetry Energy in Pasta of Neutron Star From Compressible Liquid Drop Model Approximation

2019 ◽  
Vol 2 ◽  
pp. 61-72
Author(s):  
Eko Tri Sulistyani ◽  
Rizky Ananda
Keyword(s):  
Neutron Star ◽  
Symmetry Energy ◽  
Liquid Drop ◽  
Compressible Liquid ◽  
Bonding Energy ◽  
Liquid Drop Model ◽  
Model Approximation ◽  
Protons And Neutrons ◽  
Seitz Cell ◽  
Neutron Pair

The properties of pasta which is located at the bottom of inner crust from neutron star has been studied by using compressibl e liquid drop model. Compressible liquid drop model is a modified liquid drop model as a density function. Liquid drop model based on assumption that the magnitude of nucleus bonding energy is contribution of surface, Coulomb, volume, symmetry, and proton -neutron pair effect. Pasta of neutron star behaves like liquid crystals (mesomhorpic phase). The top layer of pasta filled by free neutron gas, while in the lowest layer of the pasta is filled by proton-neutron gas. The properties of pasta are observed at temperatures close to zero Kelvin with the assumption that neutron star is on ground state and non accretion. The study of pasta emphasizes on symmetry energy’s influence. Symmetry energy reduces the magnitude of bonding energy of nucleon in the nucleus and it causes nucleon to be more easily released from nucleus. After that, symmetry energy influence the properties of pasta, such as the shape of nucleus that is non spherical (some like plates, rods, and bubbles), the fluctuative values of Wigner-Seitz cell, and uneven distribution of protons and neutrons in the pasta region of neutron star.

Symmetrical shapes of equilibrium for a liquid drop model

1963 ◽  
Vol 46 ◽  
pp. 639-659 ◽  
Author(s):  
V.M. Strutinsky ◽  
N.Ya. Lyashchenko ◽  
N.A. Popov
Keyword(s):  
Liquid Drop ◽  
Liquid Drop Model

scholarly journals Bulk properties of rotating nuclei and the validity of the liquid drop model at finite angular momenta

1999 ◽  
Vol 652 (2) ◽  
pp. 142-163 ◽  
Author(s):  
J. Piperova ◽  
D. Samsoen ◽  
P. Quentin ◽  
K. Bencheikh ◽  
J. Bartel ◽  
...  
Keyword(s):  
Liquid Drop ◽  
Liquid Drop Model ◽  
Bulk Properties ◽  
Angular Momenta ◽  
Rotating Nuclei

scholarly journals Existence and nonexistence in the liquid drop model

2021 ◽  
Vol 60 (6) ◽  
Author(s):  
Rupert L. Frank ◽  
Phan Thành Nam
Keyword(s):  
Liquid Drop ◽  
Riesz Potential ◽  
Heavy Nuclei ◽  
Liquid Drop Model ◽  
Optimal Range ◽  
Nonexistence Result ◽  
Existence Of Minimizers ◽  
Existence And Nonexistence

AbstractWe revisit the liquid drop model with a general Riesz potential. Our new result is the existence of minimizers for the conjectured optimal range of parameters. We also prove a conditional uniqueness of minimizers and a nonexistence result for heavy nuclei.

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