Equation of state of asymmetric nuclear matter: a VMC study

Open Physics ◽  
2010 ◽  
Vol 8 (4) ◽  
Author(s):  
Kaan Manisa ◽  
Ülfet Atav ◽  
Sibel Sarıaydın
Keyword(s):  
Nuclear Matter ◽  
Many Body ◽  
Isospin Asymmetry ◽  
Asymmetric Nuclear Matter ◽  
Methods And Techniques ◽  
Microscopic Interactions ◽  
Many Body Interactions ◽  
Asymmetry Parameters ◽  
Kinetic And Potential Energies ◽  
Good Agreement

AbstractA Variational Monte Carlo (VMC) method is employed to investigate the properties of symmetric and asymmetric nuclear matter. The realistic Urbana V 14 twonucleon interaction potential of Lagaris and Pandharipande was used to describe the microscopic interactions. Also, many body interactions are included as a density dependent term in the potential. Total kinetic and potential energies per particle are calculated for asymmetric nuclear matter by VMC method at various densities and isospin asymmetry parameters. The results are compared with data found in literature, and it was observed that the results obtained in this study reasonably agree with the results found in the literature. Also, the symmetry energy and incompressibility factor of the nuclear matter were obtained. The results obtained are in good agreement with those obtained by various authors with different methods and techniques.

VMC CALCULATIONS OF THE GROUND STATE PROPERTIES OF NUCLEAR MATTER

2005 ◽  
Vol 14 (02) ◽  
pp. 255-267 ◽  
Author(s):  
KAAN MANİSA ◽  
ÜLFET ATAV ◽  
RIZA OGUL
Keyword(s):  
Nuclear Matter ◽  
Ground State ◽  
Nucleon Nucleon ◽  
Neutron Matter ◽  
Potential Term ◽  
Ground State Properties ◽  
Dependent Potential ◽  
Variational Monte Carlo Method ◽  
Kinetic And Potential Energies ◽  
Good Agreement

A Variational Monte Carlo method (VMC) is described for the evaluation of the ground state properties of nuclear matter. Equilibrium properties of symmetric nuclear matter and neutron matter are calculated by the described VMC method. The Urbana ν14 potential is used for the nucleon–nucleon interactions in the calculations. Three- and more-body interactions are included as a density dependent potential term. Total, kinetic and potential energies per particle are obtained for nuclear and neutron matter. Pressure values of nuclear and neutron matter are also calculated at various densities. The binding energy of nuclear matter is found to be -16.06 MeV at a saturation density of 0.16 fm -3. The results obtained are in good agreement with those obtained by various authors with different potentials and techniques.

scholarly journals Lattice Dynamics of the High Tc Superconductor ErBa2Cu3O7

1994 ◽  
Vol 47 (1) ◽  
pp. 103 ◽  
Author(s):  
S Mohan ◽  
R Kannan
Keyword(s):  
Lattice Dynamics ◽  
Many Body ◽  
New Approach ◽  
High Tc ◽  
High Tc Superconductor ◽  
Zone Centre ◽  
Three Body ◽  
Many Body Interactions ◽  
Good Agreement ◽  
Infrared Data

The lattice dynamics of the high Tc superconductor ErBa2Cu307 have been investigated in detail with a modified three-body force shell model. The model accounts for the effect of many-body interactions in the lattice potential. The aim of the present work is to treat the various interactions between the ions in generalised way without making them numerically equal. The values of the phonon frequencies calculated at the zone centre by this new approach are in good agreement with the available Raman and infrared data.

ISOSPIN DEPENDENCE OF THE SATURATION PROPERTIES OF ASYMMETRIC NUCLEAR MATTER IN NONRELATIVISTIC MEAN FIELD MODEL

2012 ◽  
Vol 21 (09) ◽  
pp. 1250079 ◽  
Author(s):  
S. CHAKRABORTY ◽  
B. SAHOO ◽  
S. SAHOO
Keyword(s):  
Nuclear Matter ◽  
Fourth Order ◽  
Symmetry Energy ◽  
Mean Field ◽  
Saturation Density ◽  
Order Effects ◽  
Mean Field Model ◽  
Isospin Asymmetry ◽  
Asymmetric Nuclear Matter ◽  
Isospin Dependence

A phenomenological momentum dependent interaction (MDI) is considered to describe the equation of state (EOS) for isospin asymmetric nuclear matter (ANM), where the density dependence of the nuclear symmetry is the basic input. In this interaction, the symmetry energy shows soft dependence of density. Within the nonrelativistic mean field approach we calculate the nuclear matter fourth-order symmetry energy E sym, 4 (ρ). Our result shows that the value of E sym, 4 (ρ) at normal nuclear matter density ρ0( = 0.161 fm -3) is less than 1 MeV conforming the empirical parabolic approximation to the EOS of ANM at ρ0. Then the higher-order effects of the isospin asymmetry on the saturation density ρ sat (β), binding energy per nucleon K sat (β) and isobaric incompressibility K sat (β) of ANM is being studied, where [Formula: see text] is the isospin asymmetry. We have found that the fourth-order isospin asymmetry β cannot be neglected, while calculating these quantities. Hence the second-order K sat , 2 parameter basically characterizes the isospin dependence of the incompressibility of ANM at saturation density.

Intersubband Absorptions in Doped and Undoped GaN/AlN Quantum Wells at Telecommunication Wavelengths Grown on Sapphire and 6H-SiC Substrates

2003 ◽  
Vol 798 ◽  
Author(s):  
A. Helman ◽  
M. Tchernycheva ◽  
A. Lusson ◽  
E. Warde ◽  
F. H. Julien ◽  
...  
Keyword(s):  
Quantum Wells ◽  
Theoretical Study ◽  
Hexagonal Phase ◽  
Blue Shift ◽  
Carrier Localization ◽  
Many Body ◽  
Intersubband Transitions ◽  
Sapphire Substrates ◽  
Many Body Interactions ◽  
Good Agreement

ABSTRACTIn this paper we present experimental and theoretical study of intersubband transitions at telecommunication wavelengths in GaN/AlN hexagonal-phase quantum wells grown by molecular beam epitaxy on sapphire substrates. Crossed structural and photoluminescence experiments show that strong in-plane carrier localization occurs due to thickness fluctuations at GaN/AlN interfaces. Fourier transform infrared spectroscopy and photo-induced absorption spectroscopy performed on doped and undoped samples reveal a systematic blue-shift of the e1-e2 transitions with doping due to many body interactions. A good agreement is achieved between experiments and self-consistent Schrödinger-Poisson calculations.

Many Body Interactions in Nuclear Matter

2019 ◽  
Vol 83 (9) ◽  
pp. 1164-1167 ◽  
Author(s):  
E. G. Drukarev ◽  
M. G. Ryskin ◽  
V. A. Sadovnikova
Keyword(s):  
Nuclear Matter ◽  
Many Body ◽  
Many Body Interactions

scholarly journals On Phase Transitions of Nuclear Matter in the Nambu-Jona-Lasinio Model

2011 ◽  
Vol 21 (2) ◽  
pp. 117
Author(s):  
Tran Huu Phat ◽  
Le Viet Hoa ◽  
Nguyen Van Long ◽  
Nguyen Tuan Anh ◽  
Nguyen Van Thuan
Keyword(s):  
Phase Transitions ◽  
Nuclear Matter ◽  
Density Dependence ◽  
Symmetry Energy ◽  
Nuclear Symmetry Energy ◽  
Double Bubble ◽  
Bulk Properties ◽  
Asymmetric Nuclear Matter ◽  
Njl Model ◽  
Good Agreement

Within the Cornwall - Jackiw - Tomboulis (CJT) approach a general formalism is established for the study of asymmetric nuclear matter (ANM) described by the Nambu-Jona-Lasinio (NJL) model. Restricting to the double-bubble approximation (DBA)we determine the bulk properties of ANM, in particular, the density dependence of the nuclear symmetry energy, which is in good agreement with data of recent analyses.

scholarly journals INCOMPRESSIBILITY OF ASYMMETRIC NUCLEAR MATTER

2010 ◽  
Vol 19 (08n09) ◽  
pp. 1675-1685
Author(s):  
LIE-WEN CHEN ◽  
BAO-JUN CAI ◽  
CHUN SHEN ◽  
CHE MING KO ◽  
JUN XU ◽  
...  
Keyword(s):  
Nuclear Matter ◽  
Symmetry Energy ◽  
Saturation Density ◽  
Third Order ◽  
Isospin Asymmetry ◽  
Asymmetric Nuclear Matter ◽  
Hartree Fock ◽  
Normal Nuclear Density ◽  
Curvature Parameter ◽  
Isospin Dependence

Using an isospin- and momentum-dependent modified Gogny (MDI) interaction, the Skyrme-Hartree-Fock (SHF) approach, and a phenomenological modified Skyrme-like (MSL) model, we have studied the incompressibility K sat (δ) of isospin asymmetric nuclear matter at its saturation density. Our results show that in the expansion of K sat (δ) in powers of isospin asymmetry δ, i.e., K sat (δ) = K0 + K sat ,2δ2 + K sat ,4δ4 + O(δ6), the magnitude of the 4th-order K sat ,4 parameter is generally small. The 2nd-order K sat ,2 parameter thus essentially characterizes the isospin dependence of the incompressibility of asymmetric nuclear matter at saturation density. Furthermore, the K sat ,2 can be expressed as [Formula: see text] in terms of the slope parameter L and the curvature parameter K sym of the symmetry energy and the third-order derivative parameter J0 of the energy of symmetric nuclear matter at saturation density, and we find the higher order J0 contribution to K sat ,2 generally cannot be neglected. Also, we have found a linear correlation between K sym and L as well as between J0/K0 and K0. Using these correlations together with the empirical constraints on K0 and L, the nuclear symmetry energy E sym (ρ0) at normal nuclear density, and the nucleon effective mass, we have obtained an estimated value of K sat ,2 = -370 ± 120 MeV for the 2nd-order parameter in the isospin asymmetry expansion of the incompressibility of asymmetric nuclear matter at its saturation density.

scholarly journals Entropy and Entropic Forces to Model Biological Fluids

Entropy ◽  
2021 ◽  
Vol 23 (9) ◽  
pp. 1166
Author(s):  
Rafael M. Gutierrez ◽  
George T. Shubeita ◽  
Chandrashekhar U. Murade ◽  
Jianfeng Guo
Keyword(s):  
Complex Systems ◽  
Biological Fluids ◽  
Living Cells ◽  
Biological Information ◽  
Many Body ◽  
Range Interaction ◽  
Significant Information ◽  
Microscopic Interactions ◽  
Physical Phenomena ◽  
Many Body Interactions

Living cells are complex systems characterized by fluids crowded by hundreds of different elements, including, in particular, a high density of polymers. They are an excellent and challenging laboratory to study exotic emerging physical phenomena, where entropic forces emerge from the organization processes of many-body interactions. The competition between microscopic and entropic forces may generate complex behaviors, such as phase transitions, which living cells may use to accomplish their functions. In the era of big data, where biological information abounds, but general principles and precise understanding of the microscopic interactions is scarce, entropy methods may offer significant information. In this work, we developed a model where a complex thermodynamic equilibrium resulted from the competition between an effective electrostatic short-range interaction and the entropic forces emerging in a fluid crowded by different sized polymers. The target audience for this article are interdisciplinary researchers in complex systems, particularly in thermodynamics and biophysics modeling.

scholarly journals Entropy and Entropic Forces to Model Biological Fluids

2021 ◽  
Author(s):  
Rafael M. Gutierrez ◽  
George T. Shubeita ◽  
Chandrashekhar U. Murade ◽  
Jianfeng Guo
Keyword(s):  
Complex Systems ◽  
Biological Fluids ◽  
Living Cells ◽  
Biological Information ◽  
Many Body ◽  
Significant Information ◽  
Precise Understanding ◽  
Microscopic Interactions ◽  
Physical Phenomena ◽  
Many Body Interactions

Living cells are complex systems that may be characterized by fluids crowded by hundreds of different elements in particular by a high density of polymers; they are an excellent and challenging laboratory to study exotic emerging physical phenomena where entropic forces emerge from organization processes of many-body interactions. The competition between microscopic and entropic forces may generate complex behaviors like phase transitions that living cells may use to accomplish their functions. In the era of the big data, when biological information abounds but general principles and precise understanding of the microscopic interactions scarce, the entropy methods may offer significant information. In this work we develop a model where the thermodynamic equilibrium results from the competition between an effective electrostatic shortrange interaction and the entropic forces emerging in a fluid crowded by different size polymers. The target audience for this article are interdisciplinary researchers in complex systems, particularly in thermodynamics and biophysics modeling.

scholarly journals Nuclear Symmetry Energy in Chiral Model of Nuclear Matter

2012 ◽  
Vol 22 (2) ◽  
pp. 183
Author(s):  
Nguyen Tuan Anh ◽  
Tran Huu Phat ◽  
Dinh Thanh Tam
Keyword(s):  
Physical Properties ◽  
Nuclear Matter ◽  
Density Dependence ◽  
Symmetry Energy ◽  
Degrees Of Freedom ◽  
Chiral Model ◽  
Nuclear Symmetry Energy ◽  
Asymmetric Nuclear Matter ◽  
Good Agreement

The physical properties of asymmetric nuclear matter are studied in the Extended Nambou-Jona-Lasinio (ENJL) model formulated directly in the nucleon degrees of freedom. It results that the density dependence of the nuclear symmetry energy and its related quantities are basically in good agreement with data of recent analyses.

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