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Type of Document Dissertation Author Velytsky, Alexander URN etd-04152004-152803 Title A Model Study Of The Deconfining Phase Transition Degree Doctor of Philosophy Department Physics, Department of Advisory Committee
Advisor Name Title Bernd A. Berg Committee Chair Gregory A. Riccardi Committee Member Per Arne Rikvold Committee Member Urs M. Heller Committee Member Vasken Hagopian Committee Member Keywords
- Quark Gluon Plasma
- Lattice Gauge Theory
- Spin Models
Date of Defense 2004-04-12 Availability unrestricted Abstract The study of the deconfining phase transition or crossover is important for the understanding of properties of nuclear matter and the quark gluonplasma. Heavy ion collisions experiments are capable of creating conditions necessary for deconfinement. The dynamics of this process and not only its equilibrium properties are of interest. In this dissertation non-equilibrium
aspects of rapid heating and cooling of the QCD vacuum are studied in a model framework. The 3-D Potts model with an external magnetic field is
an effective model of QCD (of pure SU(3) gauge theory, when the magnetic field is set to zero),
which we study by means of Monte Carlo simulations. Other models are used to
understand the influence of the strength of the phase transition. In our investigations these systems are temperature driven through a phase
transition or a rapid crossover using updating procedures in the Glauber universality class. We study hysteresis cycles with different updating speeds and simulations of a quench. Qualitatively this should reveal the physics of non-equilibrium configurations. A number of observables are measured during the simulations: thermodynamical quantities such as the internal energy and
the magnetization, properties of Fortuin-Kasteleyn clusters and structure functions. Comparing with equilibrium data we conclude that the Monte Carlo dynamics is capable of creating a spinodal decomposition, which dominates the statistical properties of configurations. A slowing down of the equilibration in the ordered phase due to the competition of different magnetization domains
is observed. This could lead to a situation where the system does not fully equilibrate in the available time. Spinodal decomposition of the Polyakov loops may lead to an enhancement of low momentum degrees of freedom. If this scenario
is realized by Nature, this may be observed in experiments as an increase in the low energy gluon production.
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