arXiv subjects

J. M. Sanchez

Publications and source records attributed to J. M. Sanchez.

5 recordsLinked to original sources

arXiv2025

Structural Analysis of Multi-Core Processor and Reliability Evaluation Model

In the present paper, the models of structural analysis and evaluation of efficiency indicators (reliability, fault tolerance, viability, and flexibility) of a multi core processor with variable structure, equipped with multi functional cores, are considered. Using logical probabilistic methods, the following has been developed: models for evaluating the reliability and fault tolerance of processor cores as multi functional elements; logical probabilistic models of the shortest paths, flexibility, and performance conditions for successful operation of multi core processors based on multi functional cores; and models for estimating the reliability, fault tolerance, and lifetime of multi core processors considering all possible states of performance. The results of the structural analysis of two core and four core processors and the trends of increasing the efficiency indicators of multi core processors are presented.

cs.DC↗

arXiv2024

Exterior boundary-value Poincare problem for elliptic systems of the second order with two independent variables

This paper offers a number of examples showing that in the case of two independent variables the uniform ellipticity of a linear system of differential equations with partial derivatives of the second order, which fulfills condition (3), do not always cause the normal solvability of formulated exterior elliptic problems in the sense of Noether. Nevertheless, from the system of differential equations with partial derivatives of elliptic type it is possible to choose, under certain additional conditions, classes which are normally solvable in the sense of Noether. This paper also shows that for the so-called decomposed system of differential equations, with partial derivatives of an elliptic type in the case of exterior regions, the Noether theorems are valid.

math.AP↗

arXiv2000

Confinement Effects in Antiferromagnets

Phase equilibrium in confined Ising antiferromagnets was studied as a function of the coupling (v) and a magnetic field (h) at the surfaces, in the presence of an external field H. The ground state properties were calculated exactly for symmetric boundary conditions and nearest-neighbor interactions, and a full zero-temperature phase diagram in the plane v-h was obtained for films with symmetry-preserving surface orientations. The ground-state analysis was extended to the H-T plane using a cluster-variation free energy. The study of the finite-T properties (as a function of v and h) reveals the close interdependence between the surface and finite-size effects and, together with the ground-state phase diagram, provides an integral picture of the confinement in anisotropic antiferromagnets with surfaces that preserve the symmetry of the order parameter.

cond-mat.mtrl-sci↗

arXiv2000

Phase Transitions in Confined Antiferromagnets

Confinement effects on the phase transitions in antiferromagnets are studied as a function of the surface coupling v and the surface field h for bcc(110) films. Unusual topologies for the phase diagram are attained for particular combinations of v and h. It is shown that some of the characteristics of the finite-temperature behavior of the system are driven by its low-temperature properties and consequently can be explained in terms of a ground-state analysis. Cluster variation free energies are used for the investigation of the finite temperature behavior.

cond-mat.mtrl-sci↗

arXiv1994

Reciprocal Space Analysis of Short Range Order Intensities by the Cluster Variation Method

A reciprocal space formulation of the Cluster Variation is used in order to extract effective pair interactions in alloys from experimental short-range order diffuse intensities. The method is applied to the analysis of the short range order contribution to the neutron diffuse scattering of a $Fe-19.5 {\%} Al$ single crystal. A detailed comparison with real space methods is carried out for three different levels of approximations. For the highest level of approximation used in this study, effective pair interactions up to fifth neighbors are obtained.

mtrl-th↗