Lakhno Viktor Dmitrievich

Publications in Math-Net.Ru

1. Numerical study of the Holstein model in different thermostats
   
   Computer Research and Modeling, 16:2 (2024),  489–502
2. On the possibility of Bose condensate formation in ultracold neutron gas
   
   Keldysh Institute preprints, 2024, 085, 17 pp.
3. Bipolaron theory of field effect in high-temperature superconductors
   
   Keldysh Institute preprints, 2024, 033, 15 pp.
4. Dirty superconductors and room-temperature superconductivity
   
   Keldysh Institute preprints, 2024, 032, 15 pp.
5. Dynamics of the Holstein polaron under constant and combined action of constant and alternating electric fields
   
   Mat. Biolog. Bioinform., 19:2 (2024),  472–485
6. On the thermalization of one-dimensional lattices. I. Microcanonical ensemble
   
   Mat. Biolog. Bioinform., 19:1 (2024),  248–260
7. Computer simulation of charge transfer in a DNA molecule within a simple model of an open quantum system
   
   Mat. Biolog. Bioinform., 19:1 (2024),  212–231
8. 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.
9. Supersymmetric polaron
   
   Keldysh Institute preprints, 2023, 026, 12 pp.
10. 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
11. 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.
12. On the linear dependence of cuprates magnetoresistance on magnetic field
    
    Keldysh Institute preprints, 2022, 073, 12 pp.
13. 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
14. 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
15. 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
16. Problems of quantum-classical modeling of the primary photoreaction in rhodopsin
    
    Mat. Biolog. Bioinform., 17:2 (2022),  360–385
17. A note on the formation of polaron states in a homogeneous chain
    
    Mat. Biolog. Bioinform., 17:2 (2022),  171–173
18. Charge transfer in a DNA molecule within a simple model of an open quantum system
    
    Keldysh Institute preprints, 2021, 023, 26 pp.
19. 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
20. Equilibrium charge distribution in a finite chain with a trapping site
    
    Mat. Biolog. Bioinform., 16:1 (2021),  152–168
21. Molecular devices based on DNA
    
    Mat. Biolog. Bioinform., 16:1 (2021),  115–135
22. Translational-invariant excitons
    
    Keldysh Institute preprints, 2020, 104, 14 pp.
23. Translational-invariant bipolarons and a pseudogap phase
    
    Keldysh Institute preprints, 2020, 103, 13 pp.
24. Equilibrium charge distribution in a finite chain with a trap
    
    Keldysh Institute preprints, 2020, 101, 18 pp.
25. Translation invariant bipolarons and charge density waves in high-temperature superconductors
    
    Keldysh Institute preprints, 2020, 057, 13 pp.
26. Translational-invariant bipolarons and superconductivity
    
    Keldysh Institute preprints, 2020, 009, 75 pp.
27. 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
28. Application of molecular dynamic and Monte-Carlo methods near the critical points
    
    Mat. Biolog. Bioinform., 15:Suppl. (2020),  32–34
29. Application of molecular dynamics and Monte-Carlo methods near the critical points
    
    Mat. Biolog. Bioinform., 15:2 (2020),  394–395
30. DNA model with non-local inter-site interaction in collisional thermostat
    
    Mat. Biolog. Bioinform., 15:2 (2020),  129–137
31. Investigation of DNA breather dynamics in a model with non-local inter-site interaction
    
    Mat. Biolog. Bioinform., 15:1 (2020),  93–105
32. 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.
33. Translation-invariant bipolaron theory of superconductivity and spectroscopic experiments
    
    Keldysh Institute preprints, 2019, 052, 20 pp.
34. 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
35. Dynamics of large radius polaron in a model polynucleotide chain with random perturbations
    
    Mat. Biolog. Bioinform., 14:2 (2019),  406–419
36. Numerical simulation of small radius polaron in a chain with random perturbations
    
    Mat. Biolog. Bioinform., 14:1 (2019),  126–136
37. Investigation of DNA denaturation in Peyrard-Bishop-Dauxois model by molecular dynamics method
    
    Keldysh Institute preprints, 2018, 232, 12 pp.
38. Rapid formation of a moving polaron state in a homogeneous molecular polynucleotide chain of finite length
    
    Keldysh Institute preprints, 2018, 231, 22 pp.
39. Superconducting properties of a 3D TI-bipolaron gas in magnetic field
    
    Keldysh Institute preprints, 2018, 191, 45 pp.
40. DNA devices based on DNA. Nanobioelectronics
    
    Keldysh Institute preprints, 2018, 137, 26 pp.
41. Superconducting properties of a nonideal bipolaron gas
    
    Keldysh Institute preprints, 2018, 095, 25 pp.
42. Charge transfer in 1D chain “Donor-Bridge-Acceptor” at $\mathrm{T = 300}$ K
    
    Keldysh Institute preprints, 2018, 077, 17 pp.
43. 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.
44. Superconducting properties of 3D low-density TI-bipolaron gas
    
    Keldysh Institute preprints, 2018, 029, 25 pp.
45. 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.
46. Quantum-classical modeling of rhodopsin photoisomerization
    
    Keldysh Institute preprints, 2018, 027, 28 pp.
47. A new method for decoupling Bogolyubov’s chains for quantum models
    
    Keldysh Institute preprints, 2018, 026, 34 pp.
48. Charge transfer in homogeneous chain with a defect
    
    Keldysh Institute preprints, 2018, 016, 12 pp.
49. 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
50. Theoretical and experimental investigations of DNA open states
    
    Mat. Biolog. Bioinform., 13:Suppl. (2018),  162–267
51. Trapping and transport of charges in DNA by mobile discrete breathers
    
    Mat. Biolog. Bioinform., 13:Suppl. (2018),  59–69
52. 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
53. Investigation of rhodopsin chromophore photoisomerization based on the quantum-classical model
    
    Mat. Biolog. Bioinform., 13:1 (2018),  169–186
54. Trapping and transport of charges in DNA by mobile discrete breathers
    
    Mat. Biolog. Bioinform., 13:1 (2018),  1–12
55. 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
56. Exponentially correlated Gaussians for simulating of localized and autolocalized states in polar media
    
    Mat. Biolog. Bioinform., 12:2 (2017),  273–301
57. 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
58. The peculiarities of polaron motion in the molecular polynucleotide chains of finite length
    
    Mat. Biolog. Bioinform., 11:2 (2016),  141–158
59. Estimate of the free energy using calculations of dynamics in the semiclassical Holstein model
    
    Mat. Biolog. Bioinform., 10:2 (2015),  562–566
60. Bipolaron in anisotropic crystals (arbitrary coupling)
    
    Mat. Biolog. Bioinform., 10:1 (2015),  283–293
61. Pekar's ansatz and the strong coupling problem in polaron theory
    
    UFN, 185:3 (2015),  317–331
62. Numerical investigation of photoexcited polaron states in water
    
    Computer Research and Modeling, 6:2 (2014),  253–261
63. Continuum Model of the One-Dimensional Holstein Bipolaron in DNA
    
    Mat. Biolog. Bioinform., 9:2 (2014),  430–437
64. Excitation of Bubbles and Breathers in DNA and Their Interaction with the Charge Carriers
    
    Mat. Biolog. Bioinform., 9:1 (2014),  4–19
65. Conditions for the Existence of Polaron States in Classical Molecular Chains at Finite Temperatures
    
    Mat. Biolog. Bioinform., 9:1 (2014),  1–3
66. Hole Conductivity in Heterogeneous DNA Fragments
    
    Mat. Biolog. Bioinform., 8:1 (2013),  135–160
67. Band structure of the spectra of Hamiltonians of regular polynucleotide duplexes
    
    TMF, 176:3 (2013),  429–443
68. Development of Information and Communication Technologies in Pushchino Research Center of the Russian Academy of Sciences
    
    Mat. Biolog. Bioinform., 7:2 (2012),  529–544
69. Adiabatic approximation for the calculation of the charge mobility in the DNA Holstein model
    
    Mat. Biolog. Bioinform., 6:2 (2011),  264–272
70. Formation of stationary electronic states in finite homogeneous molecular chains
    
    Mat. Biolog. Bioinform., 5:1 (2010),  1–29
71. Large-radius bipolaron and the polaron–polaron interaction
    
    UFN, 180:5 (2010),  449–473
72. Mechanism of soliton stopping in a molecular chain without dispersion
    
    Computer Research and Modeling, 1:1 (2009),  93–99
73. On the possibility of superfast charge transfer in DNA
    
    Mat. Biolog. Bioinform., 4:2 (2009),  46–51
74. 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
75. The modelling of selftrapped state formation in homogeneous polynucleotide chain
    
    Nelin. Dinam., 4:2 (2008),  193–214
76. Integrated mathematical model of the living cell
    
    Mat. Biolog. Bioinform., 2:2 (2007),  361–376
77. 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
78. Simulation of soliton formation in a uniform chain
    
    Mat. Model., 19:1 (2007),  3–13
79. Electronic XOR logic gate based on DNA
    
    Mat. Biolog. Bioinform., 1:1 (2006),  123–126
80. Hole mobility in (GC)$_n$ polynucleotides
    
    Mat. Biolog. Bioinform., 1:1 (2006),  66–69
81. Dynamics of charge transfer in ordered and chaotic nucleotide sequences
    
    Mat. Biolog. Bioinform., 1:1 (2006),  58–65
82. Bloch Oscillations in a Homogeneous Nucleotide Chain
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 79:10 (2004),  575–578
83. Hole mobility in a homogeneous nucleotide chain
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 78:5 (2003),  786–788
84. Long-Range Charge Transfer in DNA
    
    Regul. Chaotic Dyn., 7:3 (2002),  299–313
85. Translation invariance and the problem of the bipolaron
    
    UFN, 168:4 (1998),  465–469
86. Numerical investigation of quantumfield model of strong-coupling binucleon
    
    Mat. Model., 9:8 (1997),  51–59
87. Spin wave amplification in magnetically ordered crystals
    
    UFN, 166:7 (1996),  717–742
88. Structure of a strongly coupled large polaron
    
    UFN, 165:3 (1995),  285–298
89. The quantumfield model of deitron
    
    TMF, 100:2 (1994),  219–229
90. On a generalized path integral approach to the problem of polaron
    
    Dokl. Akad. Nauk SSSR, 278:6 (1984),  1343–1347
91. On the temperature dependence of photoconductivity of color centers
    
    Dokl. Akad. Nauk SSSR, 272:1 (1983),  85–86
92. 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
93. Soliton solutions in polaron theory
    
    TMF, 45:1 (1980),  139–141


94. To the memory of Èmmanuil Èl'evich Shnol'
    
    Uspekhi Mat. Nauk, 72:1(433) (2017),  197–208
95. Theoretical and Experimental Investigations of DNA Open States
    
    Mat. Biolog. Bioinform., 8:2 (2013),  553–664
96. International Conference on Mathematical Biology and Bioinformatics (ICMMB06): first steps
    
    Mat. Biolog. Bioinform., 2:1 (2007),  18–19