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20202026
most citedDynamics of the temperature regime of permafrost soil in the vicinity of the main gas pipeline taking into account climate warming

1 citations · 3 across the 12 of their papers we have counts for

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cond-mat.stat-mech2026

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…

cond-mat.stat-mech2026

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…

cond-mat.stat-mech2025

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…

cond-mat.stat-mech2025

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.…

cond-mat.stat-mech2024

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…

cond-mat.stat-mech2022

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…

cond-mat.stat-mech2022

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…

cond-mat.stat-mech2021

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…

cond-mat.stat-mech2020★ 1 cited

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…