44 citations · 165 across the 13 of their papers we have counts for
13 papers
Nonperturbative anharmonic phenomena in crystal lattice dynamics
M. I. Katsnelson, A. V. Trefilov
Slow dynamics of energy transfer between different phonon modes under the resonance conditions is considered. It may result in new effects in the inelastic and quasielastic neutron…
Kink nucleation in two-dimensional Frenkel-Kontorova model
Yu. N. Gornostyrev, M. I. Katsnelson, A. V. Kravtsov +1
A computer simulation of thermofluctuation nucleation of kinks on dislocations and their dynamics is carried out in the framework of two-dimensional (2D) Frenkel-Kontorova model. I…
Peculiarities of anharmonic effects in the lattice thermodynamics of fcc metals
M. I. Katsnelson, A. F. Maksyutov, A. V. Trefilov
Explicit expressions for anharmonic contributions to the thermodynamic properties with allowance for higher-order phonon-phonon interactions for closed-packed crystals are given, a…
Thermal expansion and the equation of state of Ir and Rh
M. I. Katsnelson, M. Sigalas, A. V. Trefilov +1
The simplest anharmonic characteristics of Ir and Rh are discussed in the framework of a previously developed simple pseudopotential model which describes the elastic moduli, phono…
Characteristic features of anharmonic effects in the lattice dynamics of fcc metals
M. I. Katsnelson, A. V. Trefilov, K. Yu. Khromov
The dispersion in the entire Brillouin zone and the temperature dependence (right up to the melting temperature) of the anharmonic frequency shift and phonon damping in a number of…
Peculiarities of anharmonic lattice dynamics and thermodynamics of alkaline-earth metals
M. I. Katsnelson, A. V. Trefilov, M. N. Khlopkin +1
The calculations are performed for a broad range of the properties of Ca and Sr in the fcc and bcc phases. A detailed information on the magnitude and character of temperature depe…
Structure, elastic moduli and thermodynamics of sodium and potassium at ultra-high pressures
M. I. Katsnelson, G. V. Sinko, N. A. Smirnov +2
The equations of state at room temperature as well as the energies of crystal structures up to pressures exceeding 100 GPa are calculated for Na and K . It is shown that the allowa…
Possible scenario of the melting of metals
M. I. Katsnelson, A. V. Trefilov
A microscopic picture of the ``preparation'' of a crystal to the transition to liquid state at the approach to melting temperature is proposed. Basing on simple crystallogeometric…
Fermi liquid theory of electronic topological transitions and screening anomalies in metals
M. I. Katsnelson, A. V. Trefilov
General expressions for the contributions of the Van Hove singularity (VHS)in the electron density of states to the thermodynamic potential $Ωare obtained in the framework of micro…
Fluctuation - induced nucleation and dynamics of the kinks on dislocation. Soliton and oscillation regimes in 2D Frenkel-Kontorova model
Yu. N. Gornostyrev, M. I. Katsnelson, A. V. Kravtsov +1
Numerical simulation of the dislocation motion in 2D Frenkel - Kontorova (FK) model in the thermostat shows an unusual dynamical behavior. It appears that ''kink'' regime of disloc…
Peculiarities of phonon spectra and lattice heat capacity in Ir and Rh
M. I. Katsnelson, I. I. Naumov, A. V. Trefilov +2
A simple pseudopotential model is proposed, which allows the phonon spectra and temperature dependence of the lattice heat capacity of Ir and Rh be described with a high enough acc…
Electronic phase transitions in one-dimensional spinless fermion model with competing interactions
A. K. Zhuravlev, M. I. Katsnelson, A. V. Trefilov
An accurate numerical consideration is carried out of the ground state for the simplified model which is traditionally used for the description of Verwey transition and related phe…
Close Packing of Atoms, Geometric Frustration and the Formation of Heterogeneous States in Crystals
Yu. N. Gornostyrev, M. I. Katsnelson, A. V. Trefilov
To describe structural peculiarities in inhomogeneous media caused by the tendency to the close packing of atoms a formalism based on the using of the Riemann geometry methods (whi…