The hydrodynamical approximations in the cold nuclear matter

1979 ◽  
Vol 57 (1) ◽  
pp. 99-106 ◽  
Author(s):  
R. Padjen
Keyword(s):  
Nuclear Matter ◽  
Physical Meaning ◽  
Interaction Parameters ◽  
Repulsive Interaction ◽  
Zero Sound ◽  
Cold Nuclear Matter ◽  
Long Wavelength ◽  
Sound Mode ◽  
Wavelength Limit ◽  
First Sound

In this work the hydrodynamic approximations in the cold nuclear matter are analyzed and compared to the zero sound solution in the long wavelength limit. It is shown that the hydrodynamical hierarchy can reasonably approximate the zero sound solution only in the case of strongly repulsive interaction parameters. When the zero sound mode is damped, the hydrodynamical approximations beyond the first sound are shown to have no physical meaning.

A NEW APPROACH TO THE STUDY OF NUCLEAR MATTER

1994 ◽  
Vol 03 (02) ◽  
pp. 715-733 ◽  
Author(s):  
D.N. TRIPATHY ◽  
L.K. MISHRA
Keyword(s):  
Nuclear Matter ◽  
Wave Vector ◽  
Compression Modulus ◽  
Present Theory ◽  
Density Fluctuations ◽  
Present Calculation ◽  
Correct Result ◽  
Zero Sound ◽  
Sound Mode ◽  
Fermi Wave Vector

By invoking the existence of the zero-sound mode we have succeeded in generalizing the Bohm-Pines method, for the collective description of the interparticle interactions in a dense electron gas, to calculate the binding energy per nucleon in the ground state of a nuclear matter. The present calculation gives rise to a saturation Fermi wave vector kFO=1.74 fm−1, which is larger than the mostly accepted value of 1.43 fm−1. Our calculated result for the velocity of the zero-sound mode is found to be well-agreeable with those of other theories. It is further seen that there is an instability in the nuclear matter, with respect to long wavelength density fluctuations, in the low density region n≤0.78n0, n0 being the saturation nuclear density. From the present theory, we obtain a compression modulus K=116.7 MeV at the saturation density, which is smaller than the well-known result (210±30) MeV. However, by adjusting the value of the effective mass, M*, of the nucleon, we are able to reproduce the correct result for the compression modulus. Such a value of M* is found to be greater than the bare nucleon mass M. From the present theory, we obtain the energy of the monopole resonance Eph=32.38 MeV, which agrees reasonably well with the experimental data for heavy nuclei. By lowering the value of the saturation Fermi wave vector, we observe a decrease in the value of the compression modulus, which is just the opposite to the results of other theoretical calculations.

Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks

2014 ◽  
Author(s):  
Mathias Neuman ◽  
Jens Langelage ◽  
Owe Philipsen
Keyword(s):  
Nuclear Matter ◽  
Lattice Qcd ◽  
Heavy Quarks ◽  
Cold Nuclear Matter

scholarly journals Investigation of the long wavelength limit of soliton self-frequency shift in a silica fiber

2018 ◽  
Vol 26 (15) ◽  
pp. 19637 ◽  
Author(s):  
Bo Li ◽  
Mengran Wang ◽  
Kriti Charan ◽  
Ming-jun Li ◽  
Chris Xu
Keyword(s):  
Frequency Shift ◽  
Silica Fiber ◽  
Long Wavelength ◽  
Wavelength Limit

Stationary charged surface configuration of a conducting liquid in the long-wavelength limit

2008 ◽  
Vol 34 (2) ◽  
pp. 97-99 ◽  
Author(s):  
K. E. Bobrov ◽  
G. Sh. Boltachev ◽  
N. M. Zubarev ◽  
O. V. Zubareva
Keyword(s):  
Charged Surface ◽  
Conducting Liquid ◽  
Long Wavelength ◽  
Wavelength Limit ◽  
Surface Configuration

scholarly journals Thermodynamic, structural, transport and surface properties of Pb-Tl liquid alloy

BIBECHANA ◽  
2015 ◽  
Vol 13 ◽  
pp. 100-113 ◽  
Author(s):  
SK Yadav ◽  
LN Jha ◽  
D Adhikari
Keyword(s):  
Liquid Alloy ◽  
Surface Concentration ◽  
Heat Of Formation ◽  
Concentration Fluctuation ◽  
Heat Of Mixing ◽  
Long Wavelength ◽  
Wavelength Limit ◽  
Energy Of Mixing ◽  
Free Energy Of Mixing ◽  
Experimental Values

Thermodynamic properties, such as free energy of mixing, heat of mixing, entropy of mixing, activities and the microscopic structural properties, such as concentration fluctuation in long-wavelength limit and chemical short-range order parameter of Pb-Tl liquid alloy at 773 K have been studied on the basis of regular associated solution model. We have estimated the mole fractions of the complex and the unassociated atoms assuming the existence of  complex as energetically favoured in the liquid state. The compositional contributions of the heat of mixing of the species Pb and Tl and the heat of formation of the compound to the net enthalpy change have also been studied. The transport properties such as, viscosity and the ratio of mutual and intrinsic coefficients have been studied using different approaches. The surface concentration of Tl atoms has been computed and it has been employed to calculate the surface tension of Pb-Tl liquid alloy. Both the theoretical and the experimental values of the concentration fluctuation in long-wavelength limit are found to be less than the ideal value, revealing that the concerned system is hetero-coordinating in nature. The interaction energies are found to be temperature dependent and respective alloy is found to be weakly interacting system. BIBECHANA 13 (2016) 100-113

The Long-wavelength Limit of the Dielectric Function for Dense Plasmas

1999 ◽  
Vol 39 (1-2) ◽  
pp. 77-80 ◽  
Author(s):  
H. Reinholz ◽  
R. Redmer ◽  
G. Röpke ◽  
A. Wierling
Keyword(s):  
Dielectric Function ◽  
Dense Plasmas ◽  
Long Wavelength ◽  
Wavelength Limit
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