Scientific publications




1.   М.М. Демин, О.Н. Королева, А.А. Алексашкина, В.И. Мажукин. Атомистическое моделирование характеристик фононной подсистемы меди в широком температурном диапазоне. Препринты ИПМ, 2020, №33, стр. 1-22. ISSN: 2071-2898, (2020).   DOI

2.   V.I. Mazhukin, A.V. Shapranov, A.V. Mazhukin, P.V. Breslavsky. Atomistic modeling of the dynamics of the solid/liquid interface of Si melting and crystallization taking into account deeply superheated/supercooled states. Mathematica Montisnigri, 47, 87-99 (2020).   DOI

3.   M.M. Demin, O.N. Koroleva, A.A. Aleksashkina, V.I. Mazhukin. Molecular-dynamic modeling of thermophysical properties of the phonon subsystem of copper in wide temperature range. Mathematica Montisnigri, 47, 137-151 (2020).   DOI

4.   Mazhukin, V.I.; Demin, M. M.; Shapranov, A.V.; Mazhukin, A.V., Role of electron pressure in the problem of femtosecond laser action on metals. APPLIED SURFACE SCIENCE, v.530,  147227, 2020.   DOI

5.   Mazhukin, V.I.; Shapranov, A.V.; Koroleva O.N., Atomistic modeling of crystal-melt interface mobility of fcc (Al, Cu) and bcc (Fe) metals in strong superheating/undercooling states. Mathematica Montisnigri, v.48, 70-85, 2020.   DOI

6.   V.I. Mazhukin, A.V. Shapranov, E.N. Bykovskaya, Two-layer finite-difference schemes for the Korteweg-de Vries equation in Euler variables. Mathematica Montisnigri, v.49, 57-69, 2020.   DOI

7.   М.М. Демин, А.А. Алексашкина, О.Н. Королева. Атомистическое моделирование характеристик золота в области фазового перехода плавления-кристаллизация. Препринты ИПМ, 2020, №1, ISSN: 2071-2898, (2020).   

M. M. Demin, A. A. Aleksashkina, O. N. Koroleva. Atomistic modeling of gold characteristics in the region of the melting-crystallization phase transition. Preprints KIAM, №1, (2020) DOI: 10.20948/prepr-2020-1   DOI


1.   V.I. Mazhukin, A.V. Shapranov, A.V. Mazhukin. The structure of the electric double layer at the metal-vacuum interface, Mathematica Montisnigri, 44, 110-121 (2019).   DOI

2.   B.N. Chetverushkin, A.I. Aptekarev, V.I. Mazhukin, O.N. Koroleva, M.M. Demin, A.V. Mazhukin. Life long scientific feat. On the occasion of centenary of the birth of academician of RAS A.A. Samarskii, Mathematica Montisnigri, 44, 144-169 (2019).   DOI

3.   O.N. Koroleva, M.M. Demin, V.I. Mazhukin, A.V. Mazhukin. Modeling of thermal conductivity of Si in the range from the normal to near-critical conditions. Mathematica Montisnigri, 45, 85-94 (2019).   DOI

4.   A.A. Aleksashkina, M.M. Demin, V.I. Mazhukin, Molecular dynamic calculation of lattice thermal conductivity of gold in the melting-crystallization region, Mathematica Montisnigri, 46, 106-122 (2019).  DOI 

5.   V.I. Mazhukin. Information analytical review. 18th International Scientific Seminar “Mathematical Models and Modeling in Laser-Plasma Processes & Advanced Scientific Technologies” (LPPM3-2019), Mathematica Montisnigri, 46, 137-148 (2019).   DOI

6.   B.N. Chetverushkin, A.I. Aptekarev, A.V. Kolesnichenko, V.I. Mazhukin, V.P. Osipov. Space is the destiny: research of the Solar system. On the occasion of the 85-th anniversary of academician RAS M.Ya. Marov, Mathematica Montisnigri, 46, 170-190 (2019).   DOI

7.   M.M. Demin, O.N. Koroleva, A.V. Shapranov, A.A. Aleksashkina. Atomistic modeling of the critical region of copper using a liquid-vapor coexistence curve. Mathematica Montisnigri, 46, 52-61 (2019).   DOI


1.   V. I. Mazhukin,·A. V. Mazhukin, M. M. Demin, A. V. Shapranov. Nanosecond laser ablation of target Al in a gaseous medium: explosive boiling. Applied Physics A (2018) 124:237.   DOI

2.   V.I. Mazhukin, M.M. Demin, A.A. Aleksashkina. Atomistic modeling of thermophysical properties of copper in the region of the melting point. Mathematica Montisnigri, 41, 99-111 (2018).  Pdf.

3.   O.N. Koroleva, A.V. Mazhukin, V.I. Mazhukin. Modeling of silicon characteristics in the semiconductor-metal phase transition region. Mathematica Montisnigri, 41, 73-90 (2018).  Pdf.

4.   A.A. Samokhin, V.I. Mazhukin, M.M. Demin, A.V. Shapranov, A.E. Zubko. Molecular dynamics simulation of Al explosive boiling and transcritical regimes in nanosecond laser ablation. Mathematica Montisnigri, 41, 55-72 (2018).  Pdf.

5.   V.I.Mazhukin, A.V. Shapranov, E.N. Bykovskaya. Comparative analysis of the quality of two-and three-layer difference schemes of the second order. Mathematica Montisnigri, 42, 31-51 (2018).  Pdf.

6.   A.A. Aleksashkina, M.M. Demin, V.I. Mazhukin. Молекулярно-динамическое моделирование теплофизических свойств меди в окрестности точки плавления. Препринты ИПМ, 2018, №66.   DOI

7.   A.A. Samokhin, V.I. Mazhukin, M.M. Demin, A.V. Shapranov, A.E. Zubko. On critical parameters manifestations during nanosecond laser ablation of metals. Mathematica Montisnigri, 43, 38-48 (2018).    Pdf.


1.   O.N. Koroleva, V.I. Mazhukin, A.V. Mazhukin. Calculation of silicon band gap by means of Fermi-Dirac Integrals. Mathematica Montisnigri, 38, 49-62, 2017.   Pdf.

2.   V.I. Mazhukin, O.N. Koroleva, A.V. Mazhukin, Yu.A. Aleshchenko. Effect of degenerate carriers on Si band gap narrowing. Bulletin of the Lebedev Physics Institute, 2017, Vol. 44, Is. 7, pp 198–201.   Pdf.

3.   A.V. Mazhukin, O.N. Koroleva, V. I. Mazhukin, A.V.Shapranov. Continual and molecular dynamics approaches in determining thermal properties of silicon. 2017 SPIE.

4.   Alexander A. Samokhin, Vladimir I. Mazhukin, Alexander V. Shapranov, Mikhail M. Demin, Alexey E. Zubko, Molecular dynamics modeling of nanosecond laser ablation: transcritical regime, Mathematica Montisnigri, 38, 78-89, 2017.   Pdf.

5.   V.I. Mazhukin, A.V. Shapranov, M.M. Demin, A.V. Mazhukin. Modeling of dynamics of nanosecond laser ablation in phase explosion regime. 2017 SPIE.

6.   O.N. Koroleva, A.V. Mazhukin, V.I. Mazhukin. Determination of transport properties of electron gas silicon. Mathematica Montisnigri, 39, 42-51, 2017.   Pdf.

7.   O.N. Korolevaa, A.V. Mazhukin, V.I. Mazhukin and P.V. Breslavskiy. Analytical Approximation of the Fermi-Dirac Integrals of Half-Integer and Integer Orders. Mathematical Models and Computer Simulations, 2017, Vol. 9, No. 3, pp. 383–389.   Pdf.

8.   V. I. Mazhukin, A.V. Shapranov, V. E. Perezhigin, O.N. Korolevaa, and A.V. Mazhukin. Kinetic Melting and Crystallization Stages of Strongly Superheated and Supercooled Metals. Mathematical Models and Computer Simulations, 2017, Vol. 9, No. 4, pp. 448–456.   Pdf.


1. V.I. Mazhukin, A.A. Samokhin, A.V. Shapranov, M.M. Demin, P.A. Pivovarov. Modeling and visualization of nanosecond laser vaporization of metals in near critical region. Scientific Visualization, Electronic Journal, vol. 8, number 1, pp. 1-22, 2016.   Pdf.

В. И. Мажукин, А. А. Самохин, А.В. Шапранов, М. М. Демин, П. А. Пивоваров. Моделирование и визуализация наносекундной лазерной абляции металлов в околокритической области. Научная визуализация, электронный журнал, том 8, номер 1, с. 1-22, 2016.   Pdf.

2.   V.I. Mazhukin, A.V. Shapranov, M.M. Demin, N.A. Kozlovskaya. Temperature dependence of the kinetics rate of the melting and crystallization of aluminum. Bulletin of the Lebedev Physics Institute 43 (9), 283-286, 2016.   Pdf.   DOI: 10.3103/S1068335616090050

3.   O.N. Koroleva, A.V. Mazhukin, V.I. Mazhukin, P.V. Breslavskiy. Approximation of Fermi-Dirac integrals of different orders used to determine the thermal properties of metals and semiconductors. Mathematica Montisnigri, v.35, 37-54, 2016.   Pdf.

4.   О.Н. Королева, А.В. Мажукин, В.И. Мажукин, П.В. Бреславский. Аналитическая аппроксимация интегралов Ферми-Дирака полуцелых и целых порядков. Математическое моделирование. Т.28 ,№11 , СТР. 55-63.  2016.   Pdf.

O.N. Koroleva, A.V. Mazhukin, V.I. Mazhukin, and P.V. Breslavskiy. Analytical Approximation of the Fermi-Dirac Integrals of Half-Integer and Integer Orders. Mathematical Models and Computer Simulations, 2017, Vol. 9, No. 3, pp. 383–389.   Pdf.

5.   V.I. Mazhukin, A.V. Shapranov, A.V. Mazhukin, O.N. Koroleva. Mathematical formulation of a kinetic version of Stefan problem for heterogeneous melting/crystallization of metals. Mathematica Montisnigri, v.36, 58-77, 2016.   Pdf.

6.   В.И.Мажукин, А.В.Шапранов, В.Е.Пережигин, О.Н.Королева, А.В. Мажукин. Кинетические стадии плавления и кристаллизации сильно перегретых и переохлажденных металлов. Математическое моделирование. Т.28 ,№12 , СТР. 83-94. 2016.   Pdf.

7.   V.I. Mazhukin, A.V. Shapranov, M.M. Demin, A.A. Samokhin, A.E. Zubko. Molecular dynamics modeling of nanosecond laser ablation: subcritical regime. Mathematica Montisnigri, v.37, pp. 24-42, 2016.   Pdf.


1.   V.I. Mazhukin, A.A. Samokhin, A.V. Shapranov and M.M. Demin. Modeling of thin film explosive boiling-surface evaporation and electron thermal conductivity effect. Material Research Express, 2(1), 016402, 2015. Pdf.   doi:10.1088/2053-1591/2/1/016402

2.   V. I. Mazhukin, A.A. Samokhin, A. V. Shapranov, M. M. Demin, P.A. Pivovarov. On Different Regimes of Condensed Matter Ablation Depending on Intensity and Duration of Absorbed Electromagnetic Pulses. PIERS Proceedings, 2418 - 2421, 2015.   Pdf.

3.   A.A. Samokhin, V.I. Mazhukin, A.V. Shapranov, M.M. Demin, P.A. Pivovarov. Continual and molecular-dynamic modeling of phase transitions during laser ablation. Mathematica Montisnigri, 2015, vol.33, pp. 25-42.   Pdf.

4.   P.V. Breslavskiy, A.V. Mazhukin, O.N. Koroleva. Simulation of the dynamics of plasma expansion, the formation and interaction of shock and heat waves in the gas at the nanosecond laser irradiation. Mathematica Montisnigri, v. 33, pp.5-25, 2015.   Pdf.

5.   П.В. Бреславский, О.Н. Королева, А.В. Мажукин. Моделирование эволюции плазменных образований в газовой среде с визуализацией динамики узлов сетки, взаимодействия ударных и тепловых волн. Электронный журнал "Научная визуализация", v.7, № 5, 1-11, 2015.   Pdf.

P.V. Breslavskiy, O.N. Koroleva, A.V. Mazhukin. The evolution of the plasma formation in the gas medium, modeling with visualization of the grid nodes dynamics and the interaction of shock and thermal waves.  Scientific Visualization, Electronic Journal, vol. 7, number 5, pp. 1-11, 2015.   Pdf.


1.  V.I. Mazhukin, M.M.Demin, A.V. Shapranov. High-speed laser ablation of metal with pico- and subpicosecond pulses. Applied Surface Science. 2014.  doi:10.1016/j.apsusc.2014.01.111, Pdf.

2. В.И.Мажукин, А.А.Самохин, М.М.Демин, А.В.Шапранов. Взрывное вскипание металлов под действием наносекундного лазерного импульса. Квантовая электроника, 44, № 4 (2014). Pdf.

   V.I.Mazhukin, A.A.Samokhin, M.M.Demin and A.V.Shapranov. Explosive boiling of metals upon irradiation by a nanosecond laser pulse. Quantum Electronics(2014),44(4):283.  doi:10.1070/QE2014v044n04ABEH015388

3.  В.И.Мажукин, А.В.Шапранов, А.А.Самохин, А.Ю.Ивочкин, Моделирование взрывного вскипания тонкой пленки при однородном субнаносекундном нагреве, Математическое моделирование, 2014, том 26, номер 3, 125–136. Pdf.

    V.I.Mazhukin, A.V.Shapranov, A.A.Samokhin, A.Yu.Ivochkin. Modeling of explosive boiling of a thin film during homogeneous subnanosecond heating. Mathematical Models and Computer Simulations, September 2014, Volume 6, Issue 5, pp 542-550.  doi:10.1134/S207004821405007X

4.   V.I. Mazhukin, A.V. Shapranov, O.N. Koroleva, A.V. Rudenko. Molecular dynamics simulation of critical point parameters for silicon, Mathematica Montisnigri, 2014, vol. XXXI, pp.64 - 77. Pdf.

5.   В.И. Мажукин, А.В. Шапранов, А.В. Руденко. Сравнительный анализ потенциалов межатомного взаимодействия для кристаллического кремния, 2014, vol. XXX, pp.56 - 75. Pdf.

6.   V.I. Mazhukin, A.V. Shapranov, A.A. Samokhin, A.V. Mazhukin, O.N. Koroleva. Visualisation and analysis of the results of molecular-dynamic modeling of intensive evaporation of liquid in the near-critical region. Scientific Visualization Electronic Journal, vol.6, issue 4, pp.72-95.   Zip.