9 citations · 22 across the 8 of their papers we have counts for
8 papers
Seven- and eight-loop critical exponents of the three-dimensional Ising model
D. Shapoval, Yu. Honchar, B. Delamotte +2
We determine the critical exponents , , and the correction-to-scaling exponent of the three-dimensional Ising universality class by resumming the recently computed seven-…
Critical exponents of the Ising model with quenched structural disorder and long-range interactions at spatial dimension
D. Shapoval, M. Dudka
We analyse the critical properties of a weakly diluted (random) Ising model with the long-range interaction decaying with distance as in a -dimensional space…
On the new universality class in structurally disordered -vector model with long-range interactions
Dmytro Shapoval, Maxym Dudka, Yurij Holovatch
We study a stability border of a region where nontrivial critical behaviour of an -vector model with long-range power-law decaying interactions is induced by the presence of a s…
Survival in two-species reaction-superdiffusion system: Renormalization group treatment and numerical simulations
Dmytro Shapoval, Viktoria Blavatska, Maxym Dudka
We analyze the two-species reaction-diffusion system including trapping reaction as well as coagulation/annihilation reactions where particles of bo…
Binary lattice-gases of particles with soft exclusion: Exact phase diagrams for tree-like lattices
Dmytro Shapoval, Maxym Dudka, Olivier Bénichou +1
We study equilibrium properties of binary lattice-gases comprising and particles, which undergo continuous exchanges with their respective reservoirs, maintained at chemica…
Equilibrium properties of two-species reactive lattice gases on random catalytic chains
Dmytro Shapoval, Maxym Dudka, Olivier Bénichou +1
We focus here on the thermodynamic properties of adsorbates formed by two-species reactions on a one-dimensional infinite lattice with heterogeneous "catalytic" p…
Possibility of a continuous phase transition in random-anisotropy magnets with ageneric random-axis distribution
Dmytro Shapoval, Maxym Dudka, Andrei A. Fedorenko +1
We reconsider the problem of the critical behavior of a three-dimensional symmetric magnetic system in the presence of random anisotropy disorder with a generic trimodal ran…
Cross-over between diffusion-limited and reaction-limited regimes in the coagulation-diffusion process
Dmytro Shapoval, Maxym Dudka, Xavier Durang +1
The change from the diffusion-limited to the reaction-limited cooperative behaviour in reaction-diffusion systems is analysed by comparing the universal long-time behaviour of the…