1 citations · 3 across the 12 of their papers we have counts for
12 papers
Exact solution of generalized gauge-invariant Ising chains with multi-spin interactions
Pavel Khrapov, Stepan Shchurenkov
In this work, exact solutions are obtained for a class of generalized gauge-invariant -chain Ising models () with arbitrary multi-spin interactions that are invariant…
Exact solution and pair correlation functions for a generalized three-chain Ising tube with multispin interactions
Pavel Khrapov, Nikita Volkov
We obtain an exact solution for a generalized three-chain Ising tube (TCGIT) of length with toroidal boundary conditions and the most general -invariant Hamiltonian on an…
Exact Solution and Correlation Functions of Generalized Double Ising Chains
Pavel Khrapov, Stepan Shchurenkov
In this paper the exact solution and correlation functions for a double-chain Ising model with multi-spin interactions and symmetric Hamiltonian density are obtained. The study emp…
Exact solution of the three-state generalized double-chain Potts model
Pavel Khrapov, Grigory Skvortsov
An exact analytical solution of generalized three-state double-chain Potts model with multi-spin interactions which are invariant under cyclic shift of all spin values is obtained.…
Exact solution of generalized triple Ising chains with multi-spin interactions
Pavel Khrapov, Nikita Volkov
We obtain the exact physical characteristics of the triple-chain Ising model on a torus with all possible multispin interactions invariant with respect to rotation by the angle $2π…
Dynamics of the temperature regime of permafrost soil in the vicinity of the main gas pipeline taking into account climate warming
A. A. Fedotov, P. V. Khrapov, A. E. Dengovskaya
An initial-boundary value problem for an unsteady two-dimensional heat conduction equation in a bounded domain modeling the unsteady temperature distribution of permafrost soil in…
Comparative analysis of Jacobi and Gauss-Seidel iterative methods
Pavel Khrapov, Nikita Volkov
The paper presents a comparative analysis of iterative numerical methods of Jacobi and Gauss-Seidel for solving systems of linear algebraic equations (SLAEs) with complex and real…
Exact solution Ising-like models with multispin interactions
Pavel Khrapov, Veronika Nikishina
The paper considers the generalized Ising model in the strip with a Hamiltonian invariant with respect to the central axis of rotation through the angle $π/2…
The exact solution of the Axial Next-Nearest-Neighbor Ising model on width 2 spin chains
Pavel Khrapov, Anastasia Loginova
Using the transfer matrix method for Axial Next-Nearest Neighbor Ising model without an external field on a closed chain of spins of width 2 in the direction of interaction of only…
Analysis and prediction of changes in the temperature of the pure freshwater ice column in the Antarctic and the Arctic
A. A. Fedotov, V. V. Kaniber, P. V. Khrapov
This paper investigates the initial boundary value problem for a non-stationary one-dimensional heat equation that simulates the temperature distribution in freshwater ice near the…
Disorder solutions for the free energy of the Ising-like models
Pavel V. Khrapov
For arbitrary Ising-like models of any dimension and Hamiltonians with a finite support with all possible multispin interactions and boundary conditions with a shift, the exact val…
Disorder solutions for the partition functions of the two-dimensional Ising-like models
Pavel Khrapov
For the generalized Ising models with all possible interactions within a face of the square lattice the formulas for finding partition function and free energy per lattice site in…