14 citations · 45 across the 8 of their papers we have counts for
8 papers
Non-additive properties of finite 1D Ising chains with long-range interactions
S. S. Apostolov, Z. A. Mayzelis, O. V. Usatenko +1
We study the statistical properties of Ising spin chains with finite (although arbitrary large) range of interaction between the elements. We examine mesoscopic subsystems (fragmen…
Hysteretic jumps in the response of layered superconductors to electromagnetic fields
V. A. Yampol'skii, T. M. Slipchenko, Z. A. Mayzelis +4
We consider here a layered superconductor subject to an externally applied moderately-strong electromagnetic field. We predict hysteretic jumps in the dependence of the surface rea…
Non-extensive thermodynamics of 1D systems with long-range interaction
S. S. Apostolov, Z. A. Mayzelis, O. V. Usatenko +1
A new approach to non-extensive thermodynamical systems with non-additive energy and entropy is proposed. The main idea of the paper is based on the statistical matching of the the…
High-Order Correlation Functions of Binary Multi-Step Markov Chains
S. S. Apostolov, Z. A. Mayzelis, O. V. Usatenko +1
Two approaches to studying the correlation functions of the binary Markov sequences are considered. The first of them is based on the study of probability of occurring different ''…
Isotropy Properties of the Multi-Step Markov Symbolic Sequences
S. S. Apostolov, Z. A. Mayzelis, O. V. Usatenko +1
A new object of the probability theory, the two-sided chain of symbols (introduced in Ref. arXiv:physics/0306170) is used to study isotropy properties of binary multi-step Markov c…
Equivalence of Markov's Symbolic Sequences to Two-Sided Chains
S. S. Apostolov, Z. A. Mayzelis, O. V. Usatenko +1
A new object of the probability theory, two-sided chain of events (symbols), is introduced. A theory of multi-steps Markov chains with long-range memory, proposed earlier in Phys.…