scholarly journals Making a soft relativistic mean-field equation of state stiffer at high density

2015 ◽  
Vol 92 (5) ◽  
Author(s):  
K. A. Maslov ◽  
E. E. Kolomeitsev ◽  
D. N. Voskresensky
Keyword(s):  
Field Equation ◽  
Equation Of State ◽  
Mean Field ◽  
High Density ◽  
Relativistic Mean Field ◽  
Mean Field Equation

scholarly journals PROPERTIES OF MAGNETIZED QUARK-HYBRID STARS

2011 ◽  
Vol 20 (supp02) ◽  
pp. 25-28
Author(s):  
MILVA ORSARIA ◽  
IGNACIO F. RANEA-SANDOVAL ◽  
H. VUCETICH ◽  
FRIDOLIN WEBER
Keyword(s):  
Magnetic Field ◽  
Field Equation ◽  
Equation Of State ◽  
Uniform Magnetic Field ◽  
Mean Field ◽  
Hadronic Matter ◽  
Relativistic Mean Field ◽  
Standard Neutron ◽  
Hybrid Stars ◽  
Mean Field Equation

The structure of a magnetized quark-hybrid stars (QHS) is modeled using a standard relativistic mean-field equation of state (EoS) for the description of hadronic matter. For quark matter we consider a bag model EoS which is modified perturbatively to account for the presence of a uniform magnetic field. The mass-radius (M-R) relationship, gravitational redshift and rotational Kepler periods of such stars are compared with those of standard neutron stars (NS).

Ferroelectric mean-field equation of state for rochelle salt near the upper Tc

1987 ◽  
Vol 9 (3) ◽  
pp. 253-258 ◽  
Author(s):  
R. Ramirez ◽  
C. Prieto ◽  
J. L. Martínez ◽  
J. A. Gonzalo
Keyword(s):  
Field Equation ◽  
Equation Of State ◽  
Mean Field ◽  
Rochelle Salt ◽  
Mean Field Equation

scholarly journals Renormalization of the superfluid density in the two-dimensional BCS-BEC crossover

2018 ◽  
Vol 32 (17) ◽  
pp. 1840022 ◽  
Author(s):  
G. Bighin ◽  
L. Salasnich
Keyword(s):  
Field Equation ◽  
Equation Of State ◽  
Mean Field ◽  
Superfluid Density ◽  
Einstein Condensate ◽  
Two Dimensional ◽  
Theoretical Derivation ◽  
Bose Einstein Condensate ◽  
Bose Einstein ◽  
Mean Field Equation

We analyze the theoretical derivation of the beyond-mean-field equation of state for two-dimensional gas of dilute, ultracold alkali-metal atoms in the Bardeen–Cooper–Schrieffer (BCS) to Bose–Einstein condensate (BEC) crossover. We show that at zero temperature our theory — considering Gaussian fluctuations on top of the mean-field equation of state — is in very good agreement with experimental data. Subsequently, we investigate the superfluid density at finite temperature and its renormalization due to the proliferation of vortex–antivortex pairs. By doing so, we determine the Berezinskii–Kosterlitz–Thouless (BKT) critical temperature — at which the renormalized superfluid density jumps to zero — as a function of the inter-atomic potential strength. We find that the Nelson–Kosterlitz criterion overestimates the BKT temperature with respect to the renormalization group equations, this effect being particularly relevant in the intermediate regime of the crossover.

scholarly journals On the existence and blow-up of solutions for a mean field equation with variable intensities

2016 ◽  
Vol 27 (4) ◽  
pp. 413-429 ◽  
Author(s):  
Tonia Ricciardi ◽  
Ryo Takahashi ◽  
Gabriella Zecca ◽  
Xiao Zhang
Keyword(s):  
Field Equation ◽  
Blow Up ◽  
Mean Field ◽  
Mean Field Equation

Uniqueness and Symmetry for the Mean Field Equation on Arbitrary Flat Tori

2020 ◽  
Author(s):  
Guangze Gu ◽  
Changfeng Gui ◽  
Yeyao Hu ◽  
Qinfeng Li
Keyword(s):  
Field Equation ◽  
Level Sets ◽  
Mean Field ◽  
Flat Torus ◽  
One Dimensional ◽  
Uniqueness Of The Solution ◽  
Flat Tori ◽  
The Mean ◽  
Symmetry Result ◽  
Mean Field Equation

Abstract We study the following mean field equation on a flat torus $T:=\mathbb{C}/(\mathbb{Z}+\mathbb{Z}\tau )$: $$\begin{equation*} \varDelta u + \rho \left(\frac{e^{u}}{\int_{T}e^u}-\frac{1}{|T|}\right)=0, \end{equation*}$$where $ \tau \in \mathbb{C}, \mbox{Im}\ \tau>0$, and $|T|$ denotes the total area of the torus. We first prove that the solutions are evenly symmetric about any critical point of $u$ provided that $\rho \leq 8\pi $. Based on this crucial symmetry result, we are able to establish further the uniqueness of the solution if $\rho \leq \min{\{8\pi ,\lambda _1(T)|T|\}}$. Furthermore, we also classify all one-dimensional solutions by showing that the level sets must be closed geodesics.

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