skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Finite size effects on kaonic 'pasta' structures

Abstract

Nonuniform structures of mixed phases at the first-order phase transition to charged kaon condensation are studied using a density functional theory within the relativistic mean-field model. Including electric field effects and applying the Gibbs conditions in a proper way, we numerically determine density profiles of nucleons, electrons, and condensed kaons. Importance of charge screening effects is elucidated and thereby we show that the Maxwell construction is effectively justified. Surface effect is also studied to figure out its effect on the density profiles.

Authors:
;  [1]; ;  [2];  [3];  [4];  [1];  [5]
  1. Advanced Science Research Center, Japan Atomic Energy Research Institute, Tokai, Ibaraki 319-1195 (Japan)
  2. Department of Physics, Kyoto University, Kyoto, 606-8502 (Japan)
  3. Moscow Institute for Physics and Engineering, Kashirskoe sh. 31, Moscow RU-115409 (Russian Federation)
  4. (Germany)
  5. (Japan)
Publication Date:
OSTI Identifier:
20771394
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 73; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.73.035802; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOSE-EINSTEIN CONDENSATION; DENSITY; DENSITY FUNCTIONAL METHOD; ELECTRIC FIELDS; ELECTRONS; KAONS; MEAN-FIELD THEORY; NUCLEONS; PARTICLE STRUCTURE; PHASE TRANSFORMATIONS; RELATIVISTIC RANGE

Citation Formats

Maruyama, Toshiki, Chiba, Satoshi, Tatsumi, Toshitaka, Endo, Tomoki, Voskresensky, Dmitri N., Gesellschaft fuer Schwerionenforschung mbH, Planckstrasse. 1, D-64291 Darmstadt, Tanigawa, Tomonori, and Japan Society for the Promotion of Science, Tokyo 102-8471. Finite size effects on kaonic 'pasta' structures. United States: N. p., 2006. Web. doi:10.1103/PhysRevC.73.035802.
Maruyama, Toshiki, Chiba, Satoshi, Tatsumi, Toshitaka, Endo, Tomoki, Voskresensky, Dmitri N., Gesellschaft fuer Schwerionenforschung mbH, Planckstrasse. 1, D-64291 Darmstadt, Tanigawa, Tomonori, & Japan Society for the Promotion of Science, Tokyo 102-8471. Finite size effects on kaonic 'pasta' structures. United States. doi:10.1103/PhysRevC.73.035802.
Maruyama, Toshiki, Chiba, Satoshi, Tatsumi, Toshitaka, Endo, Tomoki, Voskresensky, Dmitri N., Gesellschaft fuer Schwerionenforschung mbH, Planckstrasse. 1, D-64291 Darmstadt, Tanigawa, Tomonori, and Japan Society for the Promotion of Science, Tokyo 102-8471. Wed . "Finite size effects on kaonic 'pasta' structures". United States. doi:10.1103/PhysRevC.73.035802.
@article{osti_20771394,
title = {Finite size effects on kaonic 'pasta' structures},
author = {Maruyama, Toshiki and Chiba, Satoshi and Tatsumi, Toshitaka and Endo, Tomoki and Voskresensky, Dmitri N. and Gesellschaft fuer Schwerionenforschung mbH, Planckstrasse. 1, D-64291 Darmstadt and Tanigawa, Tomonori and Japan Society for the Promotion of Science, Tokyo 102-8471},
abstractNote = {Nonuniform structures of mixed phases at the first-order phase transition to charged kaon condensation are studied using a density functional theory within the relativistic mean-field model. Including electric field effects and applying the Gibbs conditions in a proper way, we numerically determine density profiles of nucleons, electrons, and condensed kaons. Importance of charge screening effects is elucidated and thereby we show that the Maxwell construction is effectively justified. Surface effect is also studied to figure out its effect on the density profiles.},
doi = {10.1103/PhysRevC.73.035802},
journal = {Physical Review. C, Nuclear Physics},
number = 3,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}
  • The first results of a new three-dimensional, finite temperature Skyrme-Hartree-Fock+BCS study of the properties of inhomogeneous nuclear matter at densities and temperatures leading to the transition to uniform nuclear matter are presented. Calculations are carried out in a cubic box representing a unit cell of the locally periodic structure of the matter. A constraint is placed on the two independent components of the quadrupole moment of the neutron density to investigate the dependence of the total energy density of matter on the geometry of the nuclear structure in the unit cell. This approach allows self-consistent modeling of effects such asmore » (i) neutron drip, resulting in a neutron gas external to the nuclear structure; (ii) shell effects of bound and unbound nucleons; (iii) the variety of exotic nuclear shapes that emerge, collectively termed nuclear pasta; and (iv) the dissolution of these structures into uniform nuclear matter as density and/or temperature increase. In Part I of this work the calculation of the properties of inhomogeneous nuclear matter in the core collapse of massive stars is reported. Emphasis is on exploring the effects of the numerical method on the results obtained; notably, the influence of the finite cell size on the nuclear shapes and energy-density obtained. Results for nuclear matter in {beta} equilibrium in cold neutrons stars are the subject of Part II. The calculation of the band structure of unbound neutrons in neutron star matter, yielding thermal conductivity, specific heat, and entrainment parameters, is outlined in Part III. Calculations are performed at baryon number densities of n{sub b}=0.04-0.12 fm{sup -3}, a proton fraction of y{sub p}=0.3 and temperatures in the range 0-7.5 MeV. A wide variety of nuclear shapes are shown to emerge. It is suggested that thermodynamical properties change smoothly in the pasta regime up to the transition to uniform matter; at that transition, thermodynamic properties of the matter vary discontinuously, indicating a phase transition of first or second order. The calculations are carried out using the SkM* Skyrme parametrization; a comparison with calculations using Sly4 at n{sub b}=0.08 fm{sup -3}, T=0 MeV is made.« less
  • Different regimes of the Fermi-Pasta-Ulam (FPU) recurrence are simulated numerically for fully nonlinear 'one-dimensional' potential water waves in a finite-depth flume between two vertical walls. In such systems, the FPU recurrence is closely related to the dynamics of coherent structures approximately corresponding to solitons of the integrable Boussinesq system. A simplest periodic solution of the Boussinesq model, describing a single soliton between the walls, is presented in analytic form in terms of the elliptic Jacobi functions. In the numerical experiments, it is observed that depending on the number of solitons in the flume and their parameters, the FPU recurrence canmore » occur in a simple or complicated manner, or be practically absent. For comparison, the nonlinear dynamics of potential water waves over nonuniform beds is simulated, with initial states taken in the form of several pairs of colliding solitons. With a mild-slope bed profile, a typical phenomenon in the course of evolution is the appearance of relatively high (rogue) waves, while for random, relatively short-correlated bed profiles it is either the appearance of tall waves or the formation of sharp crests at moderate-height waves.« less
  • Pb nucleation on top of a unique Pb island grown on Si(7 x 7) (in the form of a 'hub'-'moat'-ring) confirms that electron confinement causes large variations in critical size cluster i{sub c} with island height. Because of smaller radial dimensions (less than 20 nm), the large variation of the nucleated island density on different layers cannot be a result of differences in terrace diffusion coefficients but i{sub c}. These results have important implications on how adsorption can be dramatically modified by quantum size effects.
  • Nonuniform structures of the nucleon matter at subnuclear densities are numerically studied by means of the density functional theory with relativistic mean fields coupled with the electric field. A particular role of the charge screening effects is demonstrated.
  • We describe how a recent efficient theory of low-energy electron diffraction (LEED) enables the determination of finite-size and disordered nanostructures. Our cluster approach, called NANOLEED, speeds up the computation to scale as n log n, rather than the usual n{sup 3} or n{sup 2}, with n the number of atoms, for example, thereby making nanostructures accessible. To illustrate this method's capability to determine nanoscale structure, we apply it to calculate LEED intensities for Si nanowires of various lengths and thicknesses as well as for various deviations of these nanowires from the ideal Si bulk structure.