568 citations
- Institute of PhysicsPL21 papers
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- Oak Ridge National LaboratoryUS4 papers
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- Laboratoire de Physique des deux infinis BordeauxFR3 papers
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4 papers · 1 filter
Motif based hierarchical random graphs: structural properties and critical points of an Ising model
M. Kotorowicz, Yu. Kozitsky
A class of random graphs is introduced and studied. The graphs are constructed in an algorithmic way from five motifs which were found in [Milo R., Shen-Orr S., Itzkovitz S., Kasht…
Phase Transitions and Quantum Stabilization in Quantum Anharmonic Crystals
Alina Kargol, Yuri Kondratiev, Yuri Kozitsky
A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. T…
Uniqueness of Gibbs states of a quantum system on graphs
D. Kepa, Y. Kozitsky
Gibbs states of an infinite system of interacting quantum particles are considered. Each particle moves on a compact Riemannian manifold and is attached to a vertex of a graph (one…
Euclidean Gibbs states of interacting quantum anharmonic oscillators
Y. Kozitsky, T. Pasurek
A rigorous description of the equilibrium thermodynamic properties of an infinite system of interacting -dimensional quantum anharmonic oscillators is given. The oscillators are…