scholarly journals Equation of state of finite-size hadrons: thermodynamical consistency

1994 ◽  
Vol 63 (1) ◽  
pp. 147-150 ◽  
Author(s):  
Saeed Uddin ◽  
C. P. Singh
Keyword(s):  
Equation Of State ◽  
Finite Size ◽  
Thermodynamical Consistency

scholarly journals From Heavy-Ion Collisions to Compact Stars: Equation of State and Relevance of the System Size

Universe ◽  
2018 ◽  
Vol 4 (1) ◽  
pp. 14 ◽  
Author(s):  
Sylvain Mogliacci ◽  
Isobel Kolbé ◽  
W. Horowitz
Keyword(s):  
Equation Of State ◽  
Degrees Of Freedom ◽  
Compact Star ◽  
Relativistic Quantum ◽  
Finite Size ◽  
Baryon Number ◽  
System Size ◽  
Heavy Ion ◽  
Compact Stars ◽  
Heavy Ion Physics

In this article, we start by presenting state-of-the-art methods allowing us to compute moments related to the globally conserved baryon number, by means of first principle resummed perturbative frameworks. We focus on such quantities for they convey important properties of the finite temperature and density equation of state, being particularly sensitive to changes in the degrees of freedom across the quark-hadron phase transition. We thus present various number susceptibilities along with the corresponding results as obtained by lattice quantum chromodynamics collaborations, and comment on their comparison. Next, omitting the importance of coupling corrections and considering a zero-density toy model for the sake of argument, we focus on corrections due to the small size of heavy-ion collision systems, by means of spatial compactifications. Briefly motivating the relevance of finite size effects in heavy-ion physics, in opposition to the compact star physics, we present a few preliminary thermodynamic results together with the speed of sound for certain finite size relativistic quantum systems at very high temperature.

scholarly journals Building a linear equation-of-state for trapped gravitons from finite size effects and the Schwarzschild black hole case

2018 ◽  
Vol 27 (05) ◽  
pp. 1850061 ◽  
Author(s):  
Stefano Viaggiu
Keyword(s):  
Black Hole ◽  
Equation Of State ◽  
Linear Equation ◽  
Internal Energy ◽  
Size Effects ◽  
Finite Size ◽  
Schwarzschild Black Hole ◽  
Finite Size Effects ◽  
State Formula ◽  
Energy Formula

In this paper, we continue the investigations present in [S. Viaggiu, Physica A 473 (2017) 412; 488 (2017) 72.] concerning the spectrum of trapped gravitons in a spherical box, and in particular, inside a Schwarzschild black hole (BH). We explore the possibility that, due to finite size effects, the frequency of the radiation made of trapped gravitons can be modified in such a way that a linear equation-of-state [Formula: see text] for the pressure [Formula: see text] and the internal energy [Formula: see text] arises. Firstly, we study the case with [Formula: see text], where only fluids with [Formula: see text] are possible. If corrections [Formula: see text] are added to [Formula: see text], for [Formula: see text], we found no limitation on the allowed value for the areal radius of the trapped sphere [Formula: see text]. Moreover, for [Formula: see text], we have a minimum allowed value for [Formula: see text] of the order of the Planck length [Formula: see text]. Conversely, a fluid with [Formula: see text] can be obtained but with a maximum allowed value for [Formula: see text]. With the added term looking like [Formula: see text] to the BH internal energy [Formula: see text], the well-known logarithmic corrections to the BH entropy naturally emerge for any linear equation-of-state. The results of this paper suggest that finite size effects could modify the structure of graviton’s radiation inside, showing a possible mechanism to transform radiation into dark energy.

Statistical mechanics of cold deconfined quark matter using quasiparticle model

2020 ◽  
Vol 35 (13) ◽  
pp. 2050064
Author(s):  
P. Simji
Keyword(s):  
Equation Of State ◽  
Statistical Mechanics ◽  
Quark Matter ◽  
Chemical Potential ◽  
Zero Temperature ◽  
Quark Star ◽  
Consistency Relation ◽  
Quasiparticle Model ◽  
Thermodynamical Consistency

We discuss the statistical mechanics and thermodynamics of quark matter at zero temperature and finite chemical potential using a thermodynamically consistent framework of quasiparticle model for QGP without the need of any reformulation of statistical mechanics or thermodynamical consistency relation. Using that equation of state, we solve the Tolman–Oppenheimer–Volkoff equation to obtain the mass-radius relation of dense quark star.

QUARK MATTER IN NEUTRON STARS: AN APERÇU

2006 ◽  
Vol 21 (26) ◽  
pp. 1965-1979 ◽  
Author(s):  
PRASHANTH JAIKUMAR ◽  
SANJAY REDDY ◽  
ANDREW W. STEINER
Keyword(s):  
Neutron Star ◽  
Equation Of State ◽  
Neutron Stars ◽  
Quark Matter ◽  
Finite Size ◽  
Coulomb Energy ◽  
Quark Stars ◽  
Dense Quark Matter ◽  
Intermediate Fraction ◽  
State Of Matter

The existence of deconfined quark matter in the superdense interior of neutron stars is a key question that has drawn considerable attention over the past few decades. Quark matter can comprise an arbitrary fraction of the star, from 0 for a pure neutron star to 1 for a pure quark star, depending on the equation of state of matter at high density. From an astrophysical viewpoint, these two extreme cases are generally expected to manifest different observational signatures. An intermediate fraction implies a hybrid star, where the interior consists of mixed or homogeneous phases of quark and nuclear matter, depending on surface and Coulomb energy costs, as well as other finite size and screening effects. In this review, we discuss what we can deduce about quark matter in neutron stars in light of recent exciting developments in neutron star observations. We state the theoretical ideas underlying the equation of state of dense quark matter, including color superconducting quark matter. We also highlight recent advances stemming from re-examination of an old paradigm for the surface structure of quark stars and discuss possible evolutionary scenarios from neutron stars to quark stars, with emphasis on astrophysical observations.

scholarly journals Inferring the dense nuclear matter equation of state with neutron star tides

2022 ◽  
Vol 258 ◽  
pp. 07002
Author(s):  
Pantelis Pnigouras ◽  
Nils Andersson ◽  
Andrea Passamonti
Keyword(s):  
Neutron Star ◽  
Equation Of State ◽  
Direct Detection ◽  
Oscillation Mode ◽  
Finite Size ◽  
Dense Nuclear Matter ◽  
Oscillation Modes ◽  
Stellar Oscillation ◽  
Star Binary ◽  
The Impact

During the late stages of a neutron star binary inspiral finite-size effects come into play, with the tidal deformability of the supranuclear density matter leaving an imprint on the gravitational-wave signal. As demonstrated in the case of GW170817—the first direct detection of gravitational waves from a neutron star binary—this can lead to strong constraints on the neutron star equation of state. As detectors become more sensitive, effects which may have a smaller influence on the neutron star tidal deformability need to be taken into consideration. Dynamical effects, such as oscillation mode resonances triggered by the orbital motion, have been shown to contribute to the tidal deformability, especially close to the neutron star coalesence, where current detectors are most sensitive. We calculate the contribution of the various stellar oscillation modes to the tidal deformability and demonstrate the (anticipated) dominance of the fundamental mode. We show what the impact of the matter composition is on the tidal deformability, as well as the changes induced by more realistic additions to the problem, e.g. the presence of an elastic crust. Finally, based on this formulation, we develop a simple phenomenological model describing the effective tidal deformability of neutron stars and show that it provides a surprisingly accurate representation of the dynamical tide close to merger.

Equation of state for hard convex body fluid mixtures

1998 ◽  
Vol 94 (5) ◽  
pp. 809-814 ◽  
Author(s):  
C. BARRIO ◽  
J.R. SOLANA
Keyword(s):  
Equation Of State ◽  
Convex Body ◽  
Body Fluid ◽  
Fluid Mixtures

The partial realization theory of finite size two-dimensional arrays

1981 ◽  
Vol 64 (10) ◽  
pp. 1-8
Author(s):  
Tsuyoshi Matsuo ◽  
Yasumichi Hasegawa ◽  
Yoshikuni Okada
Keyword(s):  
Finite Size ◽  
Two Dimensional ◽  
Realization Theory

Equation of state of shock compressed liquid deuterium

2000 ◽  
Vol 10 (PR5) ◽  
pp. Pr5-281-Pr5-286
Author(s):  
M. Ross ◽  
L. H. Yang ◽  
G. Galli
Keyword(s):  
Equation Of State ◽  
Compressed Liquid
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