Lakhno Viktor Dmitrievich

Publications in Math-Net.Ru

1. On the maximum size of a neutron droplet in an ultracold neutron gas
   
   Keldysh Institute preprints, 2026, 011, 16 pp.
2. On the effect of force on DNA in the Peyrard-Bishop-Dauxois model
   
   Keldysh Institute preprints, 2026, 010, 21 pp.
3. On the possibility of neutron matter in terrestrial conditions
   
   Keldysh Institute preprints, 2025, 054, 20 pp.
4. How to rely correctly on experimental data when parameterizing simple DNA models
   
   Keldysh Institute preprints, 2025, 048, 17 pp.
5. Quantum nonlocality and special theory of relativity
   
   Keldysh Institute preprints, 2025, 023, 30 pp.
6. On charge transfer in DNA
   
   Mat. Biolog. Bioinform., 20:Suppl. (2025),  28–43
7. On the thermalization of one-dimensional lattices. II. Canonical ensemble
   
   Mat. Biolog. Bioinform., 20:Suppl. (2025),  13–27
8. On thermalization of one-dimensional lattices I. Microcanonical ensemble
   
   Mat. Biolog. Bioinform., 20:Suppl. (2025),  1–12
9. On charge transfer in DNA
   
   Mat. Biolog. Bioinform., 20:2 (2025),  269–286
10. On the thermalization of one-dimensional lattices. II. Canonical ensemble
    
    Mat. Biolog. Bioinform., 20:1 (2025),  31–46
11. Numerical study of the Holstein model in different thermostats
    
    Computer Research and Modeling, 16:2 (2024),  489–502
12. On the possibility of Bose condensate formation in ultracold neutron gas
    
    Keldysh Institute preprints, 2024, 085, 17 pp.
13. Bipolaron theory of field effect in high-temperature superconductors
    
    Keldysh Institute preprints, 2024, 033, 15 pp.
14. Dirty superconductors and room-temperature superconductivity
    
    Keldysh Institute preprints, 2024, 032, 15 pp.
15. Dynamics of the Holstein polaron under constant and combined action of constant and alternating electric fields
    
    Mat. Biolog. Bioinform., 19:2 (2024),  472–485
16. On the thermalization of one-dimensional lattices. I. Microcanonical ensemble
    
    Mat. Biolog. Bioinform., 19:1 (2024),  248–260
17. 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
18. 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.
19. Supersymmetric polaron
    
    Keldysh Institute preprints, 2023, 026, 12 pp.
20. 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
21. 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.
22. On the linear dependence of cuprates magnetoresistance on magnetic field
    
    Keldysh Institute preprints, 2022, 073, 12 pp.
23. 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
24. 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
25. 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
26. Problems of quantum-classical modeling of the primary photoreaction in rhodopsin
    
    Mat. Biolog. Bioinform., 17:2 (2022),  360–385
27. A note on the formation of polaron states in a homogeneous chain
    
    Mat. Biolog. Bioinform., 17:2 (2022),  171–173
28. Charge transfer in a DNA molecule within a simple model of an open quantum system
    
    Keldysh Institute preprints, 2021, 023, 26 pp.
29. 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
30. Equilibrium charge distribution in a finite chain with a trapping site
    
    Mat. Biolog. Bioinform., 16:1 (2021),  152–168
31. Molecular devices based on DNA
    
    Mat. Biolog. Bioinform., 16:1 (2021),  115–135
32. Translational-invariant excitons
    
    Keldysh Institute preprints, 2020, 104, 14 pp.
33. Translational-invariant bipolarons and a pseudogap phase
    
    Keldysh Institute preprints, 2020, 103, 13 pp.
34. Equilibrium charge distribution in a finite chain with a trap
    
    Keldysh Institute preprints, 2020, 101, 18 pp.
35. Translation invariant bipolarons and charge density waves in high-temperature superconductors
    
    Keldysh Institute preprints, 2020, 057, 13 pp.
36. Translational-invariant bipolarons and superconductivity
    
    Keldysh Institute preprints, 2020, 009, 75 pp.
37. 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
38. Application of molecular dynamic and Monte-Carlo methods near the critical points
    
    Mat. Biolog. Bioinform., 15:Suppl. (2020),  32–34
39. Application of molecular dynamics and Monte-Carlo methods near the critical points
    
    Mat. Biolog. Bioinform., 15:2 (2020),  394–395
40. DNA model with non-local inter-site interaction in collisional thermostat
    
    Mat. Biolog. Bioinform., 15:2 (2020),  129–137
41. Investigation of DNA breather dynamics in a model with non-local inter-site interaction
    
    Mat. Biolog. Bioinform., 15:1 (2020),  93–105
42. 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.
43. Translation-invariant bipolaron theory of superconductivity and spectroscopic experiments
    
    Keldysh Institute preprints, 2019, 052, 20 pp.
44. 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
45. Dynamics of large radius polaron in a model polynucleotide chain with random perturbations
    
    Mat. Biolog. Bioinform., 14:2 (2019),  406–419
46. Numerical simulation of small radius polaron in a chain with random perturbations
    
    Mat. Biolog. Bioinform., 14:1 (2019),  126–136
47. Investigation of DNA denaturation in Peyrard-Bishop-Dauxois model by molecular dynamics method
    
    Keldysh Institute preprints, 2018, 232, 12 pp.
48. Rapid formation of a moving polaron state in a homogeneous molecular polynucleotide chain of finite length
    
    Keldysh Institute preprints, 2018, 231, 22 pp.
49. Superconducting properties of a 3D TI-bipolaron gas in magnetic field
    
    Keldysh Institute preprints, 2018, 191, 45 pp.
50. DNA devices based on DNA. Nanobioelectronics
    
    Keldysh Institute preprints, 2018, 137, 26 pp.
51. Superconducting properties of a nonideal bipolaron gas
    
    Keldysh Institute preprints, 2018, 095, 25 pp.
52. Charge transfer in 1D chain “Donor-Bridge-Acceptor” at $\mathrm{T = 300}$ K
    
    Keldysh Institute preprints, 2018, 077, 17 pp.
53. 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.
54. Superconducting properties of 3D low-density TI-bipolaron gas
    
    Keldysh Institute preprints, 2018, 029, 25 pp.
55. 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.
56. Quantum-classical modeling of rhodopsin photoisomerization
    
    Keldysh Institute preprints, 2018, 027, 28 pp.
57. A new method for decoupling Bogolyubov’s chains for quantum models
    
    Keldysh Institute preprints, 2018, 026, 34 pp.
58. Charge transfer in homogeneous chain with a defect
    
    Keldysh Institute preprints, 2018, 016, 12 pp.
59. 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
60. Theoretical and experimental investigations of DNA open states
    
    Mat. Biolog. Bioinform., 13:Suppl. (2018),  162–267
61. Trapping and transport of charges in DNA by mobile discrete breathers
    
    Mat. Biolog. Bioinform., 13:Suppl. (2018),  59–69
62. 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
63. Investigation of rhodopsin chromophore photoisomerization based on the quantum-classical model
    
    Mat. Biolog. Bioinform., 13:1 (2018),  169–186
64. Trapping and transport of charges in DNA by mobile discrete breathers
    
    Mat. Biolog. Bioinform., 13:1 (2018),  1–12
65. 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
66. Exponentially correlated Gaussians for simulating of localized and autolocalized states in polar media
    
    Mat. Biolog. Bioinform., 12:2 (2017),  273–301
67. 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
68. The peculiarities of polaron motion in the molecular polynucleotide chains of finite length
    
    Mat. Biolog. Bioinform., 11:2 (2016),  141–158
69. Estimate of the free energy using calculations of dynamics in the semiclassical Holstein model
    
    Mat. Biolog. Bioinform., 10:2 (2015),  562–566
70. Bipolaron in anisotropic crystals (arbitrary coupling)
    
    Mat. Biolog. Bioinform., 10:1 (2015),  283–293
71. Pekar's ansatz and the strong coupling problem in polaron theory
    
    UFN, 185:3 (2015),  317–331
72. Numerical investigation of photoexcited polaron states in water
    
    Computer Research and Modeling, 6:2 (2014),  253–261
73. Continuum Model of the One-Dimensional Holstein Bipolaron in DNA
    
    Mat. Biolog. Bioinform., 9:2 (2014),  430–437
74. Excitation of Bubbles and Breathers in DNA and Their Interaction with the Charge Carriers
    
    Mat. Biolog. Bioinform., 9:1 (2014),  4–19
75. Conditions for the Existence of Polaron States in Classical Molecular Chains at Finite Temperatures
    
    Mat. Biolog. Bioinform., 9:1 (2014),  1–3
76. Hole Conductivity in Heterogeneous DNA Fragments
    
    Mat. Biolog. Bioinform., 8:1 (2013),  135–160
77. Band structure of the spectra of Hamiltonians of regular polynucleotide duplexes
    
    TMF, 176:3 (2013),  429–443
78. Development of Information and Communication Technologies in Pushchino Research Center of the Russian Academy of Sciences
    
    Mat. Biolog. Bioinform., 7:2 (2012),  529–544
79. Adiabatic approximation for the calculation of the charge mobility in the DNA Holstein model
    
    Mat. Biolog. Bioinform., 6:2 (2011),  264–272
80. Formation of stationary electronic states in finite homogeneous molecular chains
    
    Mat. Biolog. Bioinform., 5:1 (2010),  1–29
81. Large-radius bipolaron and the polaron–polaron interaction
    
    UFN, 180:5 (2010),  449–473
82. Mechanism of soliton stopping in a molecular chain without dispersion
    
    Computer Research and Modeling, 1:1 (2009),  93–99
83. On the possibility of superfast charge transfer in DNA
    
    Mat. Biolog. Bioinform., 4:2 (2009),  46–51
84. 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
85. Spatial configuration of the bipolaron and the virial theorem
    
    Fizika Tverdogo Tela, 50:1 (2008),  11–16
86. The modelling of selftrapped state formation in homogeneous polynucleotide chain
    
    Nelin. Dinam., 4:2 (2008),  193–214
87. Integrated mathematical model of the living cell
    
    Mat. Biolog. Bioinform., 2:2 (2007),  361–376
88. 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
89. Simulation of soliton formation in a uniform chain
    
    Mat. Model., 19:1 (2007),  3–13
90. Electronic XOR logic gate based on DNA
    
    Mat. Biolog. Bioinform., 1:1 (2006),  123–126
91. Hole mobility in (GC)$_n$ polynucleotides
    
    Mat. Biolog. Bioinform., 1:1 (2006),  66–69
92. Dynamics of charge transfer in ordered and chaotic nucleotide sequences
    
    Mat. Biolog. Bioinform., 1:1 (2006),  58–65
93. Bloch Oscillations in a Homogeneous Nucleotide Chain
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 79:10 (2004),  575–578
94. Hole mobility in a homogeneous nucleotide chain
    
    Pis'ma v Zh. Èksper. Teoret. Fiz., 78:5 (2003),  786–788
95. Long-Range Charge Transfer in DNA
    
    Regul. Chaotic Dyn., 7:3 (2002),  299–313
96. Translation invariance and the problem of the bipolaron
    
    UFN, 168:4 (1998),  465–469
97. Numerical investigation of quantumfield model of strong-coupling binucleon
    
    Mat. Model., 9:8 (1997),  51–59
98. Spin wave amplification in magnetically ordered crystals
    
    UFN, 166:7 (1996),  717–742
99. Structure of a strongly coupled large polaron
    
    UFN, 165:3 (1995),  285–298
100. The quantumfield model of deitron
     
     TMF, 100:2 (1994),  219–229
101. On a generalized path integral approach to the problem of polaron
     
     Dokl. Akad. Nauk SSSR, 278:6 (1984),  1343–1347
102. On the temperature dependence of photoconductivity of color centers
     
     Dokl. Akad. Nauk SSSR, 272:1 (1983),  85–86
103. 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
104. Soliton solutions in polaron theory
     
     TMF, 45:1 (1980),  139–141


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