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We discuss the nature of the slow relaxation processes in glass-forming eutectic melts right after melting. For specific, we focus on the binary metallic melt Al--Y, which in addition to the slow relaxation shows unusual non-monotonic…

Statistical Mechanics · Physics 2020-06-24 Mikhail G. Vasin , Vladimir G. Lebedev

Ascertainment of the nature of the slow relaxation processes observed after melting in glass-forming eutectic melts is the subject of this work. We claim that the diffusion processes nonlinearity in heterogeneous melt with inclusions of…

Statistical Mechanics · Physics 2023-04-14 M. G. Vasin , V. G. Lebedev , K. Y. Shklyaev , S. G. Menshikova

The temperature and time dependencies of viscosity of the liquid alloys, Al87Ni8Y5, Al86Ni8La6, Al86Ni8Ce6, and the binary Al-Ni and Al-Y melts with Al concentration over 90 at.% have been studied. Non-monotonic relaxation processes caused…

Disordered Systems and Neural Networks · Physics 2014-12-08 V. I. Lad`yanov , A. L. Bel`tyukov , S. G. Menshikova , M. G. Vasin

It is shown that at a description of a binary solution, in the presence of a liquid phase of variable composition and a stoichiometric solid phase, the concept of chemical potential can be introduced for stoichiometry, which qualitatively…

Statistical Mechanics · Physics 2020-07-07 V. G. Lebedev , A. A. Lebedeva , M. G. Vasin

We consider a nonlinear damped hyperbolic reaction-diffusion system in a bounded interval of the real line with homogeneous Neumann boundary conditions and we study the metastable dynamics of the solutions. Using an "energy approach"…

Analysis of PDEs · Mathematics 2019-11-06 Raffaele Folino

We have proposed a qualitative model for the structure of binary systems similar to Pd-Er alloys, which explains their nonmonotonic relaxation after the hydrogen saturation. It is based on the assumption that such a solid solution involves…

Materials Science · Physics 2007-05-23 A. A. Katsnelson , I. A. Lubashevskiy , A. Yu. Lavrenov

Among the outstanding problems in the theory of supercooled liquids are the reasons for the rapid increase in their viscosity and relaxation times as the temperature is lowered towards the glass transition temperature, the non-exponential…

Disordered Systems and Neural Networks · Physics 2015-06-25 V. Halpern

In binary metallic systems like the Pd--Er alloys charged with hydrogen the observed structure evolution exhibits complex dynamics. It is characterized by non-monotonic time variations in an Er-rich fraction respect with an Er-poor fraction…

Materials Science · Physics 2007-05-23 A. A. Katsnelson , A. Yu. Lavrenov , I. A. Lubashevsky

The Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory successfully explains the melting mechanism of two-dimensional isotropic lattices as a two-step process driven by the unbinding of topological defects. By considering the elastic…

Soft Condensed Matter · Physics 2025-07-23 William Grampel , Daniel Podolsky

The nonexponential relaxation ocurring in complex dynamics manifested in a wide variety of systems is analyzed through a simple model of diffusion in phase space. It is found that the inability of the system to find its equilibrium state in…

Statistical Mechanics · Physics 2009-11-10 A. Perez-Madrid

The dynamical properties of a 2D Heisenberg model with dipolar interactions and perpendicular anisotropy are studied using Monte Carlo simulations in two different ordered regions of the equilibrium phase diagram. We find a temperature…

Materials Science · Physics 2015-03-12 Rogelio Díaz-Méndez , Roberto Mulet

Structural transitions in melts as well as their dynamics are considered. It is supposed that liquid represents the solution of relatively stable solid-like locally favored structures (LFS) in the surrounding of disordered normal-liquid…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. G. Vasin , V. I. Lad'yanov

We report a molecular dynamics (MD) study of the collective dynamics of a simple monatomic liquid -interacting through a two body potential that mimics that of lithium- across the liquid-glass transition. In the glassy phase we find…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Scopigno , G. Ruocco , F. Sette , G. Viliani

The aim of this paper is to study the metastable properties of the solutions to a hyperbolic relaxation of the classic Cahn-Hilliard equation in one space dimension, subject to either Neumann or Dirichlet boundary conditions. To perform…

Analysis of PDEs · Mathematics 2021-03-22 Raffaele Folino , Corrado Lattanzio , Corrado Mascia

Theoretical models for the liquid-vapor and metal-nonmetal transitions of alkali fluids are investigated. Mean-field models are considered first but shown to be inadequate. An alternate approach is then studied in which each statistical…

Condensed Matter · Physics 2009-10-28 E. Chacon , J. P. Hernandez , P. Tarazona

Millisecond crystal relaxation has been used to explain anomalous decay in doped alkali halides. We attribute this slowness to Fermi-Pasta-Ulam solitons. Our model exhibits confinement of mechanical energy released by excitation. Extending…

Materials Science · Physics 2007-11-08 L. S. Schulman , E. Mihokova , A. Scardicchio , P. Facchi , M. Nikl , K. Polak , B. Gaveau

This paper presents a theoretical model for studying the dynamics of ordering in alloys which exhibit modulated phases. The model is different from the standard time-dependent Ginzburg-Landau description of the evolution of a non-conserved…

Condensed Matter · Physics 2009-10-22 Bulbul Chakraborty

Slow (logarithmic) relaxation from a highly excited state is studied in a Hamiltonian system with many degrees of freedom. The relaxation time is shown to increase as the exponential of the square root of the energy of excitation, in…

Condensed Matter · Physics 2007-05-23 Naoko Nakagawa , Kunihiko Kaneko

We first review the phenomenology of viscous liquids and the standard models used for explaining the non-Arrhenius average relaxation time. Then the focus is turned to the so-called elastic models, arguing that these models are all…

Soft Condensed Matter · Physics 2009-11-11 Jeppe C. Dyre

The goal of this paper is to accurately describe the metastable dynamics of the solutions to the hyperbolic relaxation of the Cahn-Hilliard equation in a bounded interval of the real line, subject to homogeneous Neumann boundary conditions.…

Analysis of PDEs · Mathematics 2024-05-21 Raffaele Folino , Corrado Lattanzio , Corrado Mascia
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