Registration Number
0225U000458,
(0124U002149)
, R & D reports
Title
Topological defects and condensates in systems of strongly interacting particles under extreme conditions
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Дослідження вакуумних ефектів, індукованих топологічним дефектом у квантовому матеріальному середовищі. Дослідження рівняння стану сильновзаємодійної релятивістської системи мезонів.
Head
Anchyshkin Dmytro V., д.ф.-м.н.
Horkavenko Volodymyr M., Кандидат фізико-математичних наук
Registration Date
12-01-2025
Organization
Department for special training National academy of science of Ukraine at Kiev University
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The purpose of the project is to obtain a better theoretical understanding of the structure and properties of condensates, which in most modern quantum and quantum field models of elementary particle physics represent the ground state of the system. An important scientific purpose of the proposed investigation is to clarify the role of topological defects and their influence on the properties of bosonic and fermionic systems of quantum matter under extreme conditions.
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The effects, induced in the matter field by a magnetic topological defect in the model of an impenetrable for matter tube were considered. Such defects can be Abrikosov vortices in type-II superconductors or disclinations in nanoconic structures of two-dimensional materials such as graphene. For the first time, it was shown that induced effects (total induced energy) in flat space-time do not depend on the coupling constant ξ of the interaction between the scalar field and space-time curvature only for the specific cases of Dirichlet and Neumann boundary conditions on the topological defect's surface. However, the total induced energy does depend on the coupling constant ξ even in flat space-time in case of generic Robin boundary conditions. Therefore, under the general form of boundary conditions on the matter field at the topological defect's surface, the effects induced by topological defects depend on an additional parameter that has not been previously accounted for in either Ukrainian or international publications on this topic.
The thermodynamics of a system of interacting bosonic particles and antiparticles in the presence of the Bose–Einstein condensate is studied in the framework of the thermodynamic mean-field model. It is assumed that the total charge density (isospin density) is conserved at all temperatures. Two cases are explicitly considered: the zero or nonzero isospin charge of the system. It is shown that the Grand Canonical Ensemble is not suitable for describing the bosonic systems of particles and antiparticles in the presence of a condensate, but an adequate study can be carried out within the framework of the Canonical Ensemble, where the chemical potential is a thermodynamic quantity that depends on the canonical free variable. Within the Canonical Ensemble, a system of interacting relativistic bosons has been investigated at finite temperatures and finite isospin densities in a mean-field approach.
Product Description
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Anchyshkin Dmytro V.
Hnatovskyi Volodymyr O.
Horkavenko Volodymyr M.
Zhuravel Denys V.
Karpenko Vladyslav O.
Tsarenkova Mariia S.
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2025-01-12
