Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Boris Kryzhanovsky"'
Publikováno v:
Entropy, Vol 25, Iss 10, p 1428 (2023)
In the framework of mean field approximation, we consider a spin system consisting of two interacting sub-ensembles. The intra-ensemble interactions are ferromagnetic, while the inter-ensemble interactions are antiferromagnetic. We define the effecti
Externí odkaz:
https://doaj.org/article/f6d16b09e2d242c7860b4cb5be5de362
Autor:
Boris Kryzhanovsky, Leonid Litinskii
Publikováno v:
Entropy, Vol 24, Iss 10, p 1424 (2022)
We analyze a connection matrix of a d-dimensional Ising system and solve the inverse problem, restoring the constants of interaction between spins, based on the known spectrum of its eigenvalues. When the boundary conditions are periodic, we can acco
Externí odkaz:
https://doaj.org/article/b566923a74c84a1185e9b4d8f7b8056a
Publikováno v:
Entropy, Vol 23, Iss 12, p 1665 (2021)
We use an m-vicinity method to examine Ising models on hypercube lattices of high dimensions d≥3. This method is applicable for both short-range and long-range interactions. We introduce a small parameter, which determines whether the method can be
Externí odkaz:
https://doaj.org/article/5df9e155f1094fb8b8085bf06bd2ca3e
Autor:
Leonid Litinskii, Boris Kryzhanovsky
Publikováno v:
Mathematics, Vol 9, Iss 14, p 1624 (2021)
In the present paper, we examine Ising systems on d-dimensional hypercube lattices and solve an inverse problem where we have to determine interaction constants of an Ising connection matrix when we know a spectrum of its eigenvalues. In addition, we
Externí odkaz:
https://doaj.org/article/af27c69b31524cda9ed7ad408f538828
Publikováno v:
Entropy, Vol 20, Iss 8, p 585 (2018)
We analyze changes in the thermodynamic properties of a spin system when it passes from the classical two-dimensional Ising model to the spin glass model, where spin-spin interactions are random in their values and signs. Formally, the transition red
Externí odkaz:
https://doaj.org/article/22acc3adfdd643b38bab154bb9e87f86
Autor:
I. M. Karandashev, Boris Kryzhanovsky, Nickolay Smirnov, M. Yu. Malsagov, V. F. Nikitin, E.V. Mikhalchenko, V.B. Betelin
Publikováno v:
Acta Astronautica. 180:58-65
Combustion simulations are the key aspect for full-scale 3D simulations of modern and perspective engines for aerospace propulsion. The present work studies an opportunity to solve chemical kinetics problems using artificial neural networks. Using cl
Autor:
Boris Kryzhanovsky, Leonid Litinskii
Publikováno v:
Optical Memory and Neural Networks. 29:293-296
We analyze a finite one-dimensional Ising system with periodic boundary conditions taking into account an arbitrary long-range interaction. We examine a discrete spectrum of eigenvalues of the spin connection matrix and a spectrum density of a contin
Autor:
Leonid Litinskii, Boris Kryzhanovsky
Publikováno v:
Doklady Physics. 64:414-417
The connection matrix of the Ising model on a d -dimensional hypercube is investigated. In addition to the interactions between the nearest neighbors, the interactions between the next-nearest neighbors are taken into account. For such a matrix, the
Autor:
Leonid Litinskii, Boris Kryzhanovsky
Publikováno v:
Entropy; Volume 24; Issue 10; Pages: 1424
We analyze a connection matrix of a d-dimensional Ising system and solve the inverse problem, restoring the constants of interaction between spins, based on the known spectrum of its eigenvalues. When the boundary conditions are periodic, we can acco
Autor:
I. M. Karandashev, Boris Kryzhanovsky
Publikováno v:
Optical Memory and Neural Networks. 28:165-174
In the present paper we analyzed a change in the density of states of a two-dimensional Ising model when a next-next-neighbor interaction is introduced. In other words, we examined two-dimensional lattices with diagonal connections. The same as in a