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Lakhno, Viktor Dmitrievich
Statistics Math-Net.Ru
Total publications: 92
Scientific articles: 89

Number of views:
This page:2799
Abstract pages:21228
Full texts:7169
References:2624
Professor
Doctor of physico-mathematical sciences
Birth date: 1.11.1951
E-mail:

https://www.mathnet.ru/eng/person21325
List of publications on Google Scholar
List of publications on ZentralBlatt
https://orcid.org/0000-0001-9224-769X

Publications in Math-Net.Ru Citations
2024
1. N. S. Fialko, M. M. Olshevets, V. D. Lakhno, “Numerical study of the Holstein model in different thermostats”, Computer Research and Modeling, 16:2 (2024),  489–502  mathnet
2. V. D. Lakhno, “Bipolaron theory of field effect in high-temperature superconductors”, Keldysh Institute preprints, 2024, 033, 15 pp.  mathnet
3. V. D. Lakhno, “Dirty superconductors and room-temperature superconductivity”, Keldysh Institute preprints, 2024, 032, 15 pp.  mathnet
2023
4. A. N. Korshunova, V. D. Lakhno, “Transition from a uniform mode of polaron motion to an oscillatory one when the initial polaron state changes”, Keldysh Institute preprints, 2023, 053, 26 pp.  mathnet
5. V. D. Lakhno, “Supersymmetric polaron”, Keldysh Institute preprints, 2023, 026, 12 pp.  mathnet
6. A. N. Korshounova, V. D. Lakhno, “Transition from a uniform mode of polaron motion to an oscillatory one when the initial polaron state changes”, Mat. Biolog. Bioinform., 18:2 (2023),  446–463  mathnet
2022
7. A. N. Korshunova, V. D. Lakhno, “Low-density components of a Holstein polaron during its uniform motion in a constant electric field in the initial period of time”, Keldysh Institute preprints, 2022, 078, 19 pp.  mathnet
8. V. D. Lakhno, “On the linear dependence of cuprates magnetoresistance on magnetic field”, Keldysh Institute preprints, 2022, 073, 12 pp.  mathnet
9. A. N. Korshounova, V. D. Lakhno, “The incipient formation of the internal dynamics of a uniformly moving polaron in a polynucleotide chain subjected to a constant electric field”, Mat. Biolog. Bioinform., 17:Suppl. (2022),  42–52  mathnet 1
10. A. N. Korshounova, V. D. Lakhno, “Charge motion along polynucleotide chains in a constant electric field depends on the charge coupling constant with chain displacements”, Mat. Biolog. Bioinform., 17:Suppl. (2022),  1–13  mathnet
11. A. N. Korshounova, V. D. Lakhno, “The incipient formation of the internal dynamics of a uniformly moving polaron in a polynucleotide chain subjected to a constant electric field”, Mat. Biolog. Bioinform., 17:2 (2022),  452–464  mathnet  elib 2
12. A. S. Shigaev, I. V. Likhachev, V. D. Lakhno, “Problems of quantum-classical modeling of the primary photoreaction in rhodopsin”, Mat. Biolog. Bioinform., 17:2 (2022),  360–385  mathnet  elib
13. V. D. Lakhno, N. S. Fialko, “A note on the formation of polaron states in a homogeneous chain”, Mat. Biolog. Bioinform., 17:2 (2022),  171–173  mathnet  elib
2021
14. A. V. Syurakshin, V. D. Lakhno, V. Yu. Yushankhai, “Charge transfer in a DNA molecule within a simple model of an open quantum system”, Keldysh Institute preprints, 2021, 023, 26 pp.  mathnet 2
15. A. N. Korshounova, V. D. Lakhno, “Charge motion along polynucleotide chains in a constant electric field depends on the charge coupling constant with chain displacements”, Mat. Biolog. Bioinform., 16:2 (2021),  411–421  mathnet  elib
16. N. S. Fialko, M. M. Olshevets, V. D. Lakhno, “Equilibrium charge distribution in a finite chain with a trapping site”, Mat. Biolog. Bioinform., 16:1 (2021),  152–168  mathnet
17. V. D. Lakhno, A. V. Vinnikov, “Molecular devices based on DNA”, Mat. Biolog. Bioinform., 16:1 (2021),  115–135  mathnet 2
2020
18. V. D. Lakhno, “Translational-invariant excitons”, Keldysh Institute preprints, 2020, 104, 14 pp.  mathnet
19. V. D. Lakhno, “Translational-invariant bipolarons and a pseudogap phase”, Keldysh Institute preprints, 2020, 103, 13 pp.  mathnet
20. N. S. Fialko, M. M. Olshevets, V. D. Lakhno, “Equilibrium charge distribution in a finite chain with a trap”, Keldysh Institute preprints, 2020, 101, 18 pp.  mathnet
21. V. D. Lakhno, “Translation invariant bipolarons and charge density waves in high-temperature superconductors”, Keldysh Institute preprints, 2020, 057, 13 pp.  mathnet 3
22. V. D. Lakhno, “Translational-invariant bipolarons and superconductivity”, Keldysh Institute preprints, 2020, 009, 75 pp.  mathnet
23. A. N. Korshounova, V. D. Lakhno, “Charge transfer by polarons in a homogeneous $Poly\,G$/$Poly\,C$-chain subjected to a constant electric field in terms of the Peyrard–Bishop–Holstein model”, Zhurnal Tekhnicheskoi Fiziki, 90:9 (2020),  1528–1536  mathnet  elib; Tech. Phys., 65:9 (2020), 1467–1474 2
24. N. K. Balabaev, V. D. Lakhno, “Application of molecular dynamic and Monte-Carlo methods near the critical points”, Mat. Biolog. Bioinform., 15:Suppl. (2020),  32–34  mathnet
25. N. K. Balabaev, V. D. Lakhno, “Application of molecular dynamics and Monte-Carlo methods near the critical points”, Mat. Biolog. Bioinform., 15:2 (2020),  394–395  mathnet 1
26. A. S. Shigaev, I. V. Likhachev, V. D. Lakhno, “DNA model with non-local inter-site interaction in collisional thermostat”, Mat. Biolog. Bioinform., 15:2 (2020),  129–137  mathnet 1
27. E. I. Geras'kin, V. D. Lakhno, A. P. Chetverikov, A. S. Shigaev, “Investigation of DNA breather dynamics in a model with non-local inter-site interaction”, Mat. Biolog. Bioinform., 15:1 (2020),  93–105  mathnet 1
2019
28. A. N. Korshunova, V. D. Lakhno, “Bloch oscillations of the Holstein polaron in the process of its uniform motion along a chain in a constant electric field”, Keldysh Institute preprints, 2019, 085, 30 pp.  mathnet  elib 1
29. V. D. Lakhno, “Translation-invariant bipolaron theory of superconductivity and spectroscopic experiments”, Keldysh Institute preprints, 2019, 052, 20 pp.  mathnet  elib
30. A. N. Korshounova, V. D. Lakhno, “Two types of oscillations of the Holstein polaron uniformly moving along a polynucleotide chain in a constant electric field”, Mat. Biolog. Bioinform., 14:2 (2019),  477–487  mathnet
31. N. S. Fialko, V. D. Lakhno, “Dynamics of large radius polaron in a model polynucleotide chain with random perturbations”, Mat. Biolog. Bioinform., 14:2 (2019),  406–419  mathnet 8
32. N. S. Fialko, V. D. Lakhno, “Numerical simulation of small radius polaron in a chain with random perturbations”, Mat. Biolog. Bioinform., 14:1 (2019),  126–136  mathnet 2
2018
33. I. V. Likhachev, V. D. Lakhno, “Investigation of DNA denaturation in Peyrard-Bishop-Dauxois model by molecular dynamics method”, Keldysh Institute preprints, 2018, 232, 12 pp.  mathnet  elib
34. A. N. Korshunova, V. D. Lakhno, “Rapid formation of a moving polaron state in a homogeneous molecular polynucleotide chain of finite length”, Keldysh Institute preprints, 2018, 231, 22 pp.  mathnet  elib 1
35. V. D. Lakhno, “Superconducting properties of a 3D TI-bipolaron gas in magnetic field”, Keldysh Institute preprints, 2018, 191, 45 pp.  mathnet  elib
36. V. D. Lakhno, A. V. Vinnikov, “DNA devices based on DNA. Nanobioelectronics”, Keldysh Institute preprints, 2018, 137, 26 pp.  mathnet  elib 2
37. V. D. Lakhno, “Superconducting properties of a nonideal bipolaron gas”, Keldysh Institute preprints, 2018, 095, 25 pp.  mathnet  elib
38. N. S. Fialko, V. D. Lakhno, “Charge transfer in 1D chain “Donor-Bridge-Acceptor” at $\mathrm{T = 300}$ K”, Keldysh Institute preprints, 2018, 077, 17 pp.  mathnet  elib 3
39. D. A. Tikhonov, E. V. Sobolev, V. D. Lakhno, “Charge diffusion in homogeneous molecular chains based on the analysis of generalized frequency spectra in the framework of the Holstein model”, Keldysh Institute preprints, 2018, 070, 16 pp.  mathnet
40. V. D. Lakhno, “Superconducting properties of 3D low-density TI-bipolaron gas”, Keldysh Institute preprints, 2018, 029, 25 pp.  mathnet  elib
41. A. N. Korshunova, V. D. Lakhno, “Modeling of stationary and nonstationary regimes of charge transfer in a homogeneous Holstein chain in a constant electric field”, Keldysh Institute preprints, 2018, 028, 18 pp.  mathnet  elib
42. A. S. Shigaev, T. B. Feldman, V. A. Nadtochenko, M. A. Ostrovsky, V. D. Lakhno, “Quantum-classical modeling of rhodopsin photoisomerization”, Keldysh Institute preprints, 2018, 027, 28 pp.  mathnet 2
43. O. A. Ponomarev, A. S. Shigaev, V. D. Lakhno, “A new method for decoupling Bogolyubov’s chains for quantum models”, Keldysh Institute preprints, 2018, 026, 34 pp.  mathnet
44. N. S. Fialko, M. I. Pyatkov, V. D. Lakhno, “Charge transfer in homogeneous chain with a defect”, Keldysh Institute preprints, 2018, 016, 12 pp.  mathnet  elib 2
45. A. N. Korshounova, V. D. Lakhno, “Simulation of the stationary and nonstationary charge transfer conditions in a uniform Holstein chain placed in constant electric field”, Zhurnal Tekhnicheskoi Fiziki, 88:9 (2018),  1312–1319  mathnet  elib; Tech. Phys., 63:9 (2018), 1270–1276 17
46. A. S. Shigaev, O. A. Ponomarev, V. D. Lakhno, “Theoretical and experimental investigations of DNA open states”, Mat. Biolog. Bioinform., 13:Suppl. (2018),  162–267  mathnet 7
47. A. P. Chetverikov, K. S. Sergeev, V. D. Lakhno, “Trapping and transport of charges in DNA by mobile discrete breathers”, Mat. Biolog. Bioinform., 13:Suppl. (2018),  59–69  mathnet 6
48. A. N. Korshounova, V. D. Lakhno, “The peculiarities of charge motion in the molecular polynucleotide chains of finite length. The rapid formation of a moving polaron state”, Mat. Biolog. Bioinform., 13:2 (2018),  534–550  mathnet 1
49. A. S. Shigaev, T. B. Feldman, V. A. Nadtochenko, M. A. Ostrovsky, V. D. Lakhno, “Investigation of rhodopsin chromophore photoisomerization based on the quantum-classical model”, Mat. Biolog. Bioinform., 13:1 (2018),  169–186  mathnet 2
50. A. P. Chetverikov, K. S. Sergeev, V. D. Lakhno, “Trapping and transport of charges in DNA by mobile discrete breathers”, Mat. Biolog. Bioinform., 13:1 (2018),  1–12  mathnet 4
2017
51. A. P. Chetverikov, K. S. Sergeev, V. D. Lakhno, “The excitation of mobile discrete breathers in DNA by initial disturbance of displacements or velocities of a few of adjacent nucleotide pairs”, Mat. Biolog. Bioinform., 12:2 (2017),  375–384  mathnet 3
52. N. I. Kashirina, V. D. Lakhno, “Exponentially correlated Gaussians for simulating of localized and autolocalized states in polar media”, Mat. Biolog. Bioinform., 12:2 (2017),  273–301  mathnet 1
53. A. N. Korshunova, V. D. Lakhno, “The peculiarities of polaron motion in the molecular polynucleotide chains of finite length in the presence of localized excitations in the chain”, Mat. Biolog. Bioinform., 12:1 (2017),  204–224  mathnet 11
2016
54. A. N. Korshunova, V. D. Lakhno, “The peculiarities of polaron motion in the molecular polynucleotide chains of finite length”, Mat. Biolog. Bioinform., 11:2 (2016),  141–158  mathnet 5
2015
55. V. D. Lakhno, N. S. Fialko, “Estimate of the free energy using calculations of dynamics in the semiclassical Holstein model”, Mat. Biolog. Bioinform., 10:2 (2015),  562–566  mathnet
56. N. I. Kashirina, V. D. Lakhno, “Bipolaron in anisotropic crystals (arbitrary coupling)”, Mat. Biolog. Bioinform., 10:1 (2015),  283–293  mathnet 2
57. V. D. Lakhno, “Pekar's ansatz and the strong coupling problem in polaron theory”, UFN, 185:3 (2015),  317–331  mathnet  elib; Phys. Usp., 58:3 (2015), 295–308  isi 22
2014
58. A. V. Volokhova, E. V. Zemlyanaya, V. D. Lakhno, I. V. Amirkhanov, I. V. Puzynin, T. P. Puzynina, “Numerical investigation of photoexcited polaron states in water”, Computer Research and Modeling, 6:2 (2014),  253–261  mathnet 1
59. N. I. Kashirina, V. D. Lakhno, “Continuum Model of the One-Dimensional Holstein Bipolaron in DNA”, Mat. Biolog. Bioinform., 9:2 (2014),  430–437  mathnet 4
60. V. D. Lakhno, A. P. Chetverikov, “Excitation of Bubbles and Breathers in DNA and Their Interaction with the Charge Carriers”, Mat. Biolog. Bioinform., 9:1 (2014),  4–19  mathnet 7
61. V. D. Lakhno, N. S. Fialko, “Conditions for the Existence of Polaron States in Classical Molecular Chains at Finite Temperatures”, Mat. Biolog. Bioinform., 9:1 (2014),  1–3  mathnet
2013
62. O. A. Ponomarev, A. S. Shigaev, A. I. Zhukov, V. D. Lakhno, “Hole Conductivity in Heterogeneous DNA Fragments”, Mat. Biolog. Bioinform., 8:1 (2013),  135–160  mathnet 1
63. V. D. Lakhno, V. B. Sultanov, “Band structure of the spectra of Hamiltonians of regular polynucleotide duplexes”, TMF, 176:3 (2013),  429–443  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 176:3 (2013), 1194–1206  isi  elib  scopus 3
2012
64. V. D. Lakhno, E. A. Isaev, V. D. Pugachev, A. Yu. Zaitsev, N. S. Fialko, S. D. Rykunov, M. N. Ustinin, “Development of Information and Communication Technologies in Pushchino Research Center of the Russian Academy of Sciences”, Mat. Biolog. Bioinform., 7:2 (2012),  529–544  mathnet 7
2011
65. D. A. Tikhonov, E. V. Sobolev, V. D. Lakhno, N. S. Fialko, “Adiabatic approximation for the calculation of the charge mobility in the DNA Holstein model”, Mat. Biolog. Bioinform., 6:2 (2011),  264–272  mathnet
2010
66. V. D. Lakhno, A. N. Korshounova, “Formation of stationary electronic states in finite homogeneous molecular chains”, Mat. Biolog. Bioinform., 5:1 (2010),  1–29  mathnet 12
67. N. I. Kashirina, V. D. Lakhno, “Large-radius bipolaron and the polaron–polaron interaction”, UFN, 180:5 (2010),  449–473  mathnet; Phys. Usp., 53:5 (2010), 431–453  isi  scopus 31
2009
68. V. D. Lakhno, N. S. Fialko, “Mechanism of soliton stopping in a molecular chain without dispersion”, Computer Research and Modeling, 1:1 (2009),  93–99  mathnet 1
69. V. D. Lakhno, V. B. Sultanov, “On the possibility of superfast charge transfer in DNA”, Mat. Biolog. Bioinform., 4:2 (2009),  46–51  mathnet; Mat. Biolog. Bioinform., 4:2 (2009), 1–6 5
70. I. V. Amirkhanov, E. V. Zemlyanaya, V. D. Lakhno, D. Z. Muzafarov, I. V. Puzynin, T. P. Puzynina, Z. A. Sharipov, “Numerical investigation of the dynamics of polaron states”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2009, no. 13,  5–14  mathnet  elib
2008
71. V. D. Lakhno, A. N. Korshounova, “The modelling of selftrapped state formation in homogeneous polynucleotide chain”, Nelin. Dinam., 4:2 (2008),  193–214  mathnet 5
2007
72. V. D. Lakhno, N. N. Nazipova, V. L. Kim, S. V. Filippov, N. S. Fialko, D. M. Ustinin, A. V. Teplukhin, G. È. Tyulbasheva, A. Yu. Zaitsev, M. N. Ustinin, “Integrated mathematical model of the living cell”, Mat. Biolog. Bioinform., 2:2 (2007),  361–376  mathnet 6
73. N. I. Kashirina, V. D. Lakhno, “Comments on the series of works by V. K. Mukhomorov on the theory of continual polaron and two-center bipolaron (axisymmetrical quasi-molecular dimer)”, Mat. Biolog. Bioinform., 2:2 (2007),  327–346  mathnet; Mat. Biolog. Bioinform., 2:2 (2007), 10–28 6
74. A. N. Korshounova, V. D. Lakhno, “Simulation of soliton formation in a uniform chain”, Matem. Mod., 19:1 (2007),  3–13  mathnet  zmath 4
2006
75. V. D. Lakhno, V. B. Sultanov, “Electronic XOR logic gate based on DNA”, Mat. Biolog. Bioinform., 1:1 (2006),  123–126  mathnet 4
76. Victor D. Lakhno, Nadezhda S. Fialko, “Hole mobility in (GC)$_n$ polynucleotides”, Mat. Biolog. Bioinform., 1:1 (2006),  66–69  mathnet; Mat. Biolog. Bioinform., 1:1 (2006), 8–11 4
77. N. S. Fialko, V. D. Lakhno, “Dynamics of charge transfer in ordered and chaotic nucleotide sequences”, Mat. Biolog. Bioinform., 1:1 (2006),  58–65  mathnet; Mat. Biolog. Bioinform., 1:1 (2006), 1–7 1
2004
78. V. D. Lakhno, N. S. Fialko, “Bloch Oscillations in a Homogeneous Nucleotide Chain”, Pis'ma v Zh. Èksper. Teoret. Fiz., 79:10 (2004),  575–578  mathnet; JETP Letters, 79:10 (2004), 464–467  scopus 17
2003
79. V. D. Lakhno, N. S. Fialko, “Hole mobility in a homogeneous nucleotide chain”, Pis'ma v Zh. Èksper. Teoret. Fiz., 78:5 (2003),  786–788  mathnet; JETP Letters, 78:5 (2003), 336–338  scopus 30
2002
80. V. D. Lakhno, N. S. Fialko, “Long-Range Charge Transfer in DNA”, Regul. Chaotic Dyn., 7:3 (2002),  299–313  mathnet  mathscinet  zmath 15
1998
81. V. D. Lakhno, “Translation invariance and the problem of the bipolaron”, UFN, 168:4 (1998),  465–469  mathnet; Phys. Usp., 41:4 (1998), 403–406  isi 4
1997
82. I. V. Amirkhanov, E. V. Zemlyanaya, V. D. Lakhno, I. V. Puzynin, T. P. Puzynina, T. A. Strizh, “Numerical investigation of quantumfield model of strong-coupling binucleon”, Matem. Mod., 9:8 (1997),  51–59  mathnet  zmath 1
1996
83. V. D. Lakhno, “Spin wave amplification in magnetically ordered crystals”, UFN, 166:7 (1996),  717–742  mathnet; Phys. Usp., 39:7 (1996), 669–693  isi 4
1995
84. V. D. Lakhno, G. N. Chuev, “Structure of a strongly coupled large polaron”, UFN, 165:3 (1995),  285–298  mathnet; Phys. Usp., 38:3 (1995), 273–285  isi 19
1994
85. V. D. Lakhno, “The quantumfield model of deitron”, TMF, 100:2 (1994),  219–229  mathnet; Theoret. and Math. Phys., 100:2 (1994), 963–969  isi 3
1984
86. S. N. Gorshkov, V. D. Lakhno, C. Rodriguez, V. K. Fedyanin, “On a generalized path integral approach to the problem of polaron”, Dokl. Akad. Nauk SSSR, 278:6 (1984),  1343–1347  mathnet 1
1983
87. V. D. Lakhno, “On the temperature dependence of photoconductivity of color centers”, Dokl. Akad. Nauk SSSR, 272:1 (1983),  85–86  mathnet
88. V. A. Kozlov, V. D. Lakhno, È. L. Nagaev, “Two-stage phonon drag effect on conductivity and thermo-EMF maximum in pure semimetals with low carrier concentration”, Fizika Tverdogo Tela, 25:4 (1983),  1124–1129  mathnet
1980
89. N. K. Balabaev, V. D. Lakhno, “Soliton solutions in polaron theory”, TMF, 45:1 (1980),  139–141  mathnet  mathscinet; Theoret. and Math. Phys., 45:1 (1980), 936–938  isi 12
2017
90. A. I. Aptekarev, A. L. Afendikov, F. I. Ataullakhanov, N. K. Balabaev, V. N. Biktashev, I. V. Biktasheva, R. M. Borisyuk, N. D. Vvedenskaya, R. D. Dagkesamanskii, Yu. G. Zarkhin, Yu. S. Ilyashenko, V. D. Lakhno, V. Yu. Lunin, N. L. Lunina, E. V. Nikolaev, V. S. Posvyanskii, M. A. Roitberg, V. S. Ryaben'kii, L. B. Ryashko, Ya. G. Sinai, V. M. Tikhomirov, A. A. Tokarev, A. G. Urzhumtsev, A. I. Khibnik, “To the memory of Èmmanuil Èl'evich Shnol'”, Uspekhi Mat. Nauk, 72:1(433) (2017),  197–208  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 72:1 (2017), 185–198  isi
2013
91. A. S. Shigaev, O. A. Ponomarev, V. D. Lakhno, “Theoretical and Experimental Investigations of DNA Open States”, Mat. Biolog. Bioinform., 8:2 (2013),  553–664  mathnet 14
2007
92. V. D. Lakhno, “International Conference on Mathematical Biology and Bioinformatics (ICMMB06): first steps”, Mat. Biolog. Bioinform., 2:1 (2007),  18–19  mathnet

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