Edited by Ray d'Inverno
Publisher: Cambridge University Press
Print Publication Year: 1992
Online Publication Date:December 2009
Online ISBN:9780511524639
Hardback ISBN:9780521439763
Paperback ISBN:9780521017350
Chapter DOI: http://dx.doi.org/10.1017/CBO9780511524639.029
Subjects: Cosmology, Relativity and Gravitation, Astrophysics
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Abstract. An outline is given of a scheme being used for making computations of the growth of single hadronic bubbles during the cosmological quark-hadron transition. The code uses a standard Lagrangian finite-difference scheme for flow within the bulk of each phase together with continuous tracking of the phase interface across the grid by means of a characteristic method with iterative solution of junction conditions.
INTRODUCTION
In view of the subject of this meeting, our emphasis here will be on the computational aspects of our study of the cosmological quark-hadron transition (Miller & Pantano 1989, 1990; Pantano 1989). However, as a preliminary, it is good to recall some fundamental points of the physics lying behind the calculations.
According to present ideas, hadrons are composed of quarks which move freely within a hadron but are strongly constrained from leaving. A phenomenological description of this is provided by the MIT bag model (Chodos et al 1974) where the region occupied by the quarks is associated with a false vacuum state characterized by a uniform vacuum energy density B and an associated negative pressure – B. If normal hadronic matter were compressed to high enough density, the individual hadrons would overlap and the quarks would become free to move within the entire interior region, giving rise to a quark-gluon plasma. Heavy-ion collision experiments at CERN and Brookhaven are aiming to create transient plasma in the course of collisions and to look for signatures of its decay.
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pp. vii-ix
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pp. xiii-xiv
pp. xv-xx
PART A - THEORETICAL APPROACHES : Read PDF
pp. 1-2
Numerical relativity on a transputer array : Read PDF
pp. 3-19
Some aspects of the characteristic initial value problem in numerical relativity : Read PDF
pp. 20-33
The characteristic initial value problem in general relativity : Read PDF
pp. 34-40
Algebraic approach to the characteristic initial value problem in general relativity : Read PDF
pp. 41-49
On hyperboloidal hypersurfaces : Read PDF
pp. 50-58
The initial value problem on null cones : Read PDF
pp. 59-68
Introduction to dual-null dynamics : Read PDF
pp. 69-78
On colliding plane wave space-times : Read PDF
pp. 79-82
Boundary conditions for the momentum constraint : Read PDF
pp. 83-93
On the choice of matter model in general relativity : Read PDF
pp. 94-102
A mathematical approach to numerical relativity : Read PDF
pp. 103-113
Making sense of the effects of rotation in general relativity : Read PDF
pp. 114-129
Stability of charged boson stars and catastrophe theory : Read PDF
pp. 130-140
PART B - PRACTICAL APPROACHES : Read PDF
pp. 141-142
Numerical asymptotics : Read PDF
pp. 143-162
Instabilities in rapidly rotating polytropes : Read PDF
pp. 163-181
Gravitational radiation from coalescing binary neutron stars : Read PDF
pp. 182-201
“Critical” behaviour in massless scalar field collapse : Read PDF
pp. 202-222
Godunov-type methods applied to general relativistic stellar collapse : Read PDF
pp. 223-229
Astrophysical sources of gravitational waves and neutrinos : Read PDF
pp. 230-246
Gravitational radiation from 3D gravitational stellar core collapse : Read PDF
pp. 247-257
A vacuum fully relativistic 3D numerical code : Read PDF
pp. 258-264
Solution of elliptic equations in numerical relativity using multiquadrics : Read PDF
pp. 265-280
Self-gravitating thin discs around rotating black holes : Read PDF
pp. 281-291
An ADI scheme for a black hole problem : Read PDF
pp. 292-296
Time-symmetric ADI and causal reconnection : Read PDF
pp. 297-307
The numerical study of topological defects : Read PDF
pp. 308-334
Computations of bubble growth during the cosmological quark-hadron transition : Read PDF
pp. 335-344
Initial data of axisymmetric gravitational waves with a cosmological constant : Read PDF
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