http://dspace.nbuv.gov.ua:80/handle/123456789/114791 Thu, 23 Apr 2026 10:23:33 GMT 2026-04-23T10:23:33Z http://dspace.nbuv.gov.ua:80/bitstream/id/341588/ http://dspace.nbuv.gov.ua:80/handle/123456789/114791 http://dspace.nbuv.gov.ua:80/handle/123456789/121315 Information model of economy Gonchar, N.S. A new stochastic model of economy is developed that takes into account the choice of consumers are the dependent random fields. Axioms of such a model are formulated. The existence of random fields of consumer’s choice and decision making by firms are proved. New notions of conditionally independent random fields and random fields of evaluation of information by consumers are introduced. Using the above mentioned random fields the random fields of consumer choice and decision making by firms are constructed. The theory of economic equilibrium is developed. Sun, 01 Jan 2006 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/121315 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/121314 Extreme emulsification: formation and structure of nanoemulsions Mason, T.G.; Graves, S.M.; Wilking, J.N.; Lin, M.Y. Nanoemulsions are metastable dispersions of nanodroplets of one liquid that have been ruptured by shear in another immiscible liquid. The ruptured droplets are stabilized against subsequent coalescence by a surfactant. Because the nanodroplets do not form spontaneously, as they can in lyotropic “microemulsion” phases, the structure of nanoemulsions is primarily dependent on the history of the applied shear stresses relative to the interfacial restoring stresses. By applying extremely high shear rates and controlling the composition of the emulsion, we have been able to rupture microscale droplets down to diameters as small as 30 nm in a microfluidic process that yields bulk quantities suitable for commercial production. Following ultracentrifugal fractionation to make the droplets uniform, we study the structure of these emulsions using small angle neutron scattering (SANS) at dilute and concentrated volume fractions. We contrast the structure of a concentrated nanoemulsion with the structure factor of hard spheres at a similar volume fraction. Sun, 01 Jan 2006 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/121314 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/121313 Ferroelectric-antiferroelectric mixed systems. Equation of state, thermodynamic functions Korynevskii, N.A.; Solovyan, V.B. The problem of equation of state for ferroelectric-antiferroelectric mixed systems in the whole region of a concentration change (06n61) is discussed. The main peculiarity of the presented model turns out to be the possibility for the site dipole momentum to be oriented ferroelectrically in z-direction and antiferroelectrically in x-direction. Such a situation takes place in mixed compounds of KDP type. The different phases (ferro-, antiferro-, paraelectric, dipole glass and some combinations of them) have been found and analyzed. Sun, 01 Jan 2006 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/121313 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/121312 Non-universal critical behaviour of a mixed-spin Ising model on the extended Kagome lattice Strecka, J.; Canova, L. The mixed spin-1/2 and spin-3/2 Ising model on the extended Kagome lattice is solved by establishing a mapping correspondence with the eight-vertex model. When the parameter of uniaxial single-ion anisotropy tends to infinity, the model system becomes exactly solvable as the staggered eight-vertex model satisfying the free-fermion condition. The critical points within this manifold can be characterized by critical exponents from the standard Ising universality class. The critical points within another subspace of interaction parameters, which corresponds to a coexistence surface between two ordered phases, can be approximated by corresponding results of the uniform eight-vertex model satisfying the zero-field condition. This coexistence surface is bounded by a line of bicritical points that have non-universal continuously varying critical indices Sun, 01 Jan 2006 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/121312 2006-01-01T00:00:00Z