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The critical indices of the Quark-Gluon Bags with Surface Tension Model with tricritical endpoint
The critical indices \alpha', \beta, \gamma' and \delta of the Quark Gluon
Bags with Surface Tension Model with the tricritical endpoint are calculated as
functions of the usual parameters of this model and two newly introduces
parameters (indices). They are compared with the critical exponents of other
models. It is shown that for the newly introduced indices \chi = 0 and \xi^T <
1 there is a branch of solutions for which the critical exponents of the
present model and the statistical multifragmentation model coincide, otherwise
these models belong to different universality classes. It is shown that for
realistic values of the parameter \varkappa the critical exponents \alpha',
\beta, \gamma' and \delta of simple liquids and 3-dimensional Ising model can
be only described by the branch of solutions in which all indices except for
\alpha' correspond to their values within the statistical multifragmentation
model. The scaling relations for the found critical exponents are verified and
it is demonstrated that for the standard definition of the index \alpha' the
Fisher and Griffiths scaling inequalities are not fulfilled for some values of
the model parameters, whereas the Liberman scaling inequality is always obeyed.
Although it is shown that the specially defined index \alpha'_s recovers the
scaling relations, another possibility, an existence of the non-Fisher
universality classes, is also discussed.Comment: 10 pages, 1 figur
Relativistic Kinetic Equations for Finite Domains and Freeze-out Problem
The relativistic kinetic equations for the two domains separated by the
hypersurface with both space- and time-like parts are derived. The particle
exchange between the domains separated by the time-like boundaries generates
source terms and modifies the collision term of the kinetic equation. The
correct hydrodynamic equations for the ``hydro+cascade'' models are obtained
and their differences from existing freeze-out models of the hadronic matter
are discussed
Physical mechanism of the (tri)critical point generation
We discuss some ideas resulting from a phenomenological relation recently
declared between the tension of string connecting the static quark-antiquark
pair and surface tension of corresponding cylindrical bag. This relation
analysis leads to the temperature of vanishing surface tension coefficient of
the QGP bags at zero baryonic charge density as T_\sigma = 152.9 +- 4.5 MeV. We
develop the view point that this temperature value is not a fortuitous
coincidence with the temperature of (partial) chiral symmetry restoration as
seen in the lattice QCD simulations. Besides, we argue that T_\sigma defines
the QCD (tri)critical endpoint temperature and claim that a negative value of
surface tension coefficient recently discovered is not a sole result, but
should also exist in ordinary liquids at the supercritical temperatures.Comment: Talk given at the Conference "Critical Point and Onset of
Deconfinement (CPOD)" that held on August 23 - 29, 2010, JINR, Dubna, Russia.
Contains minimal change
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