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tom Vol. 75, nr 4
481-500
EN
Recent developments in the statistical theory of simple fluids in a film geometry near bulk criticality is reviewed.We summarize results obtained by exact or approximate, but very accurate methods within Ising model. Particular attention is paid to the properties of the measurable solvation force and its relation to the structure of the confined system, in the Ising model given by magnetization profiles. Relevance of the reviewed results for various physical systems is briefly discussed.
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tom Vol. 75, nr 4
517-525
EN
The behavior of a binary mixture of non-additive hard spheres with positive nonadditivity parameter is investigated. The coexistence curves are calculated with a high accuracy for a few system sizes. The applicability of semigrand ensemble simulation method to calculation of the coexistence curve and the critical properties of mixtures is compared with other simulation method.
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Content available Critical fluctuations of a confined binary mixture
88%
EN
Exploiting the mapping between a binary mixture and the Ising model we have analyzed the critical fluctuations by means of the density-matrix renormalization group technique. The calculations have been carried out for a two-dimensional Ising strip subject to equally strong surface fields. It was found that the critical Casimir force has significantly different behavior on opposite sides of the capillary condensation line, especially below the critical temperature. It can be concluded that in real binary mixtures the most attractive force appears at temperatures near Tc and at reservoir compositions slightly away from the critical composition.
EN
The results of grand canonical Monte Carlo study of two-dimensional lattice gas model of network-forming particles on a triangular lattice are reported. The model takes into account the effects of molecular association, resulting from the orientation-dependent interactions as well as the effects of cooperative interactions, which lead to the weakening of the bond energies. A phase transition between the dilute and the condensed phase is considered. Phase diagrams for different systems are presented and it is shown that the systems studied belong to the universality class of two-dimensional Ising model.
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tom T. 73, z. 1
11--20
PL
Omówiono kamienie milowe ekonofizyki a także socjofizyki wybrane w kontekście wyzwań, jakie stawia współczesna społeczno-ekonomiczna rzeczywistość. Wskazano na ich rolę w budowaniu obszarów badawczych ekonofizyki i socjofizyki [1, 2, 3, 4 ].
EN
We discuss the milestones of econophysics and sociophysics. We chose them in the context of the challenges posed by contemporary socio-economic reality. We indicate their role in building research areas in econophysics and sociophysics [1, 2, 3, 4 ].
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