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Nanosystems: Physics, Chemistry, Mathematics

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Vol 16, No 2 (2025) Extremality of Gibbs measures for the DNA-Ising molecule model on the Cayley tree Abstract  PDF (Eng)  similar documents
N. M. Khatamov, N. N. Malikov
"... for one of the TIGMs on a Cayley tree of the general order. For the other TIGMs, the extremality and non ..."
 
Vol 15, No 5 (2024) Translation-invariant Gibbs measures for the mixed spin-1/2 and spin-1 Ising model with an external field on a Cayley tree Abstract  PDF (Eng)  similar documents
Muzaffar M. Rahmatullaev, Dilshod O. Egamov
"... field on the general order Cayley tree are investigated within the framework of the tree-indexed Markov ..."
 
Vol 16, No 3 (2025) Free energy and entropy for the constructive Gibbs measures of the Ising model on the Cayley tree of order three Abstract  PDF (Eng)  similar documents
M. M. Rahmatullaev, Z. A. Burxonova
"... model on a third-order Cayley tree, which differ from known ones. We provide the conditions ..."
 
Vol 16, No 2 (2025) The phase transition for the three-state SOS model with one-level competing interactions on the binary tree Abstract  PDF (Eng)  similar documents
O. Sh. Karshiboev, M. M. Rahmatullaev
"... interactions (nearest-neighbor, one-level next-nearest-neighbor) on the Cayley tree of order two. We show ..."
 
Vol 15, No 1 (2024) On solutions to nonlinear integral equation of the Hammerstein type and its applications to Gibbs measures for continuous spin systems Abstract  PDF (Eng)  similar documents
I. M. Mavlonov, A. M. Sattarov, S. A. Karimova, F. H. Haydarov
"... положительные решения не являются уникальными. Эта проблема возникает из теории мер Гиббса, и каждое ..."
 
Vol 16, No 2 (2025) Pinned gradient measures of SOS model associated with HA-boundary laws on Cayley trees Abstract  PDF (Eng)  similar documents
F. H. Haydarov, R. A. Ilyasova, K. S. Mamayusupov
"... focused on a spatially homogeneous boundary law and corresponding GGMs on Cayley trees, this study extends ..."
 
Vol 16, No 2 (2025) Translation-invariant p-adic quasi Gibbs measures for the Potts model with an external field on the Cayley tree Abstract  PDF (Eng)  similar documents
M. M. Rakhmatullaev, N. D. Samijonova
"... measures on a Cayley tree of order k ≥ 2. Furthermore, we prove that if |q|p = 1 there exists a unique p ..."
 
Vol 13, No 5 (2022) Phase transitions for the "uncle-nephew" model Abstract  PDF (Eng)  similar documents
N. N. Ganikhodjaev, M. M. Rahmatullaev, M. R. Abdusalomova
"... on the semi-infinite Cayley tree of second order. It is proved that one can reach the phase transition ..."
 
Vol 15, No 6 (2024) Thermodynamics of gas mixtures in nanoporous materials: Extension to non-ideal systems at high pressures Abstract  PDF (Eng)  similar documents
T. A. Kuznetsova, E. A. Ustinov
"... разработанного подхода является наблюдение, что свободная энергия Гиббса газовой смеси близка к своему идеальному ..."
 
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