192 research outputs found
Thermal conductivity in dynamics of first-order phase transition
Effects of thermal conductivity on the dynamics of first-order phase
transitions are studied. Important consequences of a difference of the
isothermal and adiabatic spinodal regions are discussed. We demonstrate that in
hydrodynamical calculations at non-zero thermal conductivity, ,
onset of the spinodal instability occurs, when the system trajectory crosses
the isothermal spinodal line. Only for it occurs at a cross of the
adiabatic spinodal line. Therefore ideal hydrodynamics is not suited for an
appropriate description of first-order phase transitions.Comment: 21 pages, 2 figures; submitted to Nuclear Physics A on 26 Feb 201
Viscosity and thermal conductivity effects at first-order phase transitions in heavy-ion collisions
Effects of viscosity and thermal conductivity on the dynamics of first-order
phase transitions are studied. The nuclear gas-liquid and hadron-quark
transitions in heavy-ion collisions are considered. We demonstrate that at
non-zero thermal conductivity, , onset of spinodal instabilities
occurs on an isothermal spinodal line, whereas for instabilities
take place at lower temperatures, on an adiabatic spinodal.Comment: invited talk at 6th International Workshop on Critical Point and
Onset of Deconfinment (CPOD2010), Dubna, August 22-28, 201
Special elements of the lattice of epigroup varieties
We study special elements of eight types (namely, neutral, standard,
costandard, distributive, codistributive, modular, lower-modular and
upper-modular elements) in the lattice EPI of all epigroup varieties. Neutral,
standard, costandard, distributive and lower-modular elements are completely
determined. A strong necessary condition and a sufficient condition for modular
elements are found. Modular elements are completely classified within the class
of commutative varieties, while codistributive and upper-modular elements are
completely determined within the wider class of strongly permutative varieties.
It is verified that an element of EPI is costandard if and only if it is
neutral; is standard if and only if it is distributive; is modular whenever it
is lower-modular; is neutral if and only if it is lower-modular and
upper-modular simultaneously. We found also an application of results
concerning neutral and lower-modular elements of EPI for studying of definable
sets of epigroup varieties.Comment: In comparison with the previous version, we slightly optimize the
proof of Theorem 1.1, eliminate a few typos and add Question 11.
Cancellable elements of the lattices of varieties of semigroups and epigroups
We completely determine all semigroup [epigroup] varieties that are
cancellable elements of the lattice of all semigroup [respectively epigroup]
varieties.Comment: 17 pages, 3 figures. Compared with the previous version, we add
Corollary 1.4 and Figure 1 and fix several typos. arXiv admin note: text
overlap with arXiv:1806.0597
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