Search Results - "Mazhukin, V. I."
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Analytical approximation of the Fermi-Dirac integrals of half-integer and integer orders
Published in Mathematical models and computer simulations (01-05-2017)“…We have obtained continuous analytical expressions approximating the Fermi-Dirac (F-D) integrals of orders j = −1/2, 1/2, 1, 3/2, 2, 5/2, 3, and 7/2 in a…”
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2
Modification of the Wilson–Frankel Kinetic Model and Atomistic Simulation of the Rate of Melting/Crystallization of Metals
Published in Mathematical models and computer simulations (01-04-2024)“…Within the kinetic-atomistic approach, a new approach is proposed for constructing the temperature dependence of the stationary velocity of propagation of the…”
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3
Nonequilibrium Characteristics of Heat Transfer of Copper in a Wide Temperature Range
Published in Mathematical models and computer simulations (01-06-2023)“…The characteristics of nonequilibrium heat transfer of copper, such as thermal conductivity and heat capacity, are obtained in a wide temperature range (300 ≤…”
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4
Nanosecond laser ablation of target Al in a gaseous medium: explosive boiling
Published in Applied physics. A, Materials science & processing (01-03-2018)“…An approximate mathematical description of the processes of homogeneous nucleation and homogeneous evaporation (explosive boiling) of a metal target (Al) under…”
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Atomistic Simulation of the Coexistence of Liquid–Vapor Phase States for Gold and Determination of Critical Parameters
Published in Mathematical models and computer simulations (2022)“…The work is devoted to the study (on the example of gold) of the properties of metals near the critical point. Long-term studies testify to the complexity of…”
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6
Determination of Thermal Properties of Gold in the Region of Melting–Crystallization Phase Transition: Molecular Dynamics Approach
Published in Mathematical models and computer simulations (2022)“…Molecular dynamics (MD) modeling of the thermophysical properties of pure metallic gold (Au) and hysteresis is considered in order to study its behavior during…”
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7
Dynamic adaptation for parabolic equations
Published in Computational mathematics and mathematical physics (01-11-2007)“…A dynamic adaptation method is presented that is based on the idea of using an arbitrary time-dependent system of coordinates that moves at a velocity…”
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8
Dynamically adapted grids for interacting discontinuous solutions
Published in Computational mathematics and mathematical physics (01-04-2007)“…Further development of the dynamic adaptation method for gas dynamics problems that describe multiple interactions of shock waves, rarefaction waves, and…”
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9
Temperature dependence of the kinetics rate of the melting and crystallization of aluminum
Published in Bulletin of the Lebedev Physics Institute (01-09-2016)“…Using the molecular dynamics method, heterogeneous melting–crystallization of aluminum is simulated under conditions when the phase front propagates over the…”
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10
Effect of degenerate carriers on Si band gap narrowing
Published in Bulletin of the Lebedev Physics Institute (01-07-2017)“…Various mechanisms causing band gap narrowing in strongly heated silicon are considered. In the high-temperature region, it becomes necessary to use…”
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11
Kinetic melting and crystallization stages of strongly superheated and supercooled metals
Published in Mathematical models and computer simulations (01-07-2017)“…The heterogeneous melting/crystallization of metals with different crystallographic lattices in conditions where the phase front propagates on…”
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12
2D-simulation of the system: laser beam + laser plasma + target
Published in Applied surface science (1996)“…The simulation is based on a set of two-dimensional transient equations of gas dynamics with two-dimensional radiation transfer equation completed by heat…”
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13
Mathematical simulation of laser induced melting and evaporation of multilayer materials
Published in Computational mathematics and mathematical physics (01-05-2006)“…Using the laser induced remelting of a three-layer target Al + Ni + Cr as an example, the use of the dynamic adaptation for solving the multifront Stefan…”
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14
Modeling of fast phase transitions dynamics in metal target irradiated by pico- and femtosecond pulsed laser
Published in Applied surface science (01-03-2009)“…We investigate laser pulse influence on aluminum target in irradiance range 10 9 to 10 16 W/cm 2, pulse duration between 10 −8 and 10 −15 s, Gaussian time…”
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15
Modeling of plasma-controlled surface evaporation and condensation of Al target under pulsed laser irradiation in the nanosecond regime
Published in Applied surface science (31-07-2007)“…Phase transition on the surface of an aluminium target and vapour plasma induced by laser irradiation in the nanosecond regime at the wavelengths of 1.06 and…”
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16
Modeling of femtosecond ablation of aluminum film with single laser pulses
Published in Applied surface science (01-04-2011)“…▶ Laser ablation dynamics for Al with 100 fs, 3.95 × 10 12 W/cm 2 pulses wavelength 0.8 μm. ▶ Non-equilibrium two-temperature model with hydrodynamic Stephan…”
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17
Transient effects in pulsed laser irradiation
Published in Applied surface science (31-07-2007)“…Theoretical analysis of the influence of the temporal profile (rectangular, triangular, Gaussian) of the laser pulse on heating/cooling and phase transition…”
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18
Dynamic adaptation method in gasdynamic simulations with nonlinear heat conduction
Published in Computational mathematics and mathematical physics (01-11-2008)“…A dynamic adaptation method is applied to gas dynamics problems with nonlinear heat conduction. The adaptation function is determined by the condition that the…”
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19
Monotone difference schemes for equations with mixed derivatives
Published in Computers & mathematics with applications (1987) (01-08-2002)“…There are considered elliptic and parabolic equations of arbitrary dimension with alternating coefficients at mixed derivatives. For such equations, monotone…”
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20
Role of electron pressure in the problem of femtosecond laser action on metals
Published in Applied surface science (15-11-2020)“…•The nonequilibrium force of the electron Fermi gas forms a mechanism for removing a thin layer of metal. Based on the developed continuum model combining the…”
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