Nonlinear dynamics and transport phenomena
in low-dimensional systems
Main publications:
Vladimir N. Likhachev, George A. Vinogradov, and Tatyana Yu. Astakhova, “Dynamics, kinetics, and transport properties of the one-dimensional mass-disordered harmonic
lattice”, Phys. Rev. E, 72:1 (2005), 016701
G. A. Vinogradov, “Interaction of a polaron with a trap. Influence of adiabaticity”, Mat. Biolog. Bioinform., 17:1 (2022), 28–42
2021
2.
T. Yu. Astakhova, G. A. Vinogradov, “Polarons on dimerized lattice of polyacetilene. Continuum approximation”, Mat. Biolog. Bioinform., 16:2 (2021), 335–348
T. Yu. Astakhova, G. A. Vinogradov, “Polaron in electric field and vibrational spectrum of polyacetylene”, Mat. Biolog. Bioinform., 14:1 (2019), 150–159
V. N. Likhachev, G. A. Vinogradov, “Solutions of the discrete nonlinear Schrödinger equation with a trap”, TMF, 201:3 (2019), 415–423; Theoret. and Math. Phys., 201:3 (2019), 1771–1778
V. N. Likhachev, G. A. Vinogradov, “Quantum problem of polaron localization and justification of the Su–Schrieffer–Heeger approximation”, TMF, 199:2 (2019), 283–290; Theoret. and Math. Phys., 199:2 (2019), 719–725
V. N. Likhachev, G. A. Vinogradov, “Charge transfer on a two-dimensional lattice with Tamm states”, TMF, 198:3 (2019), 433–450; Theoret. and Math. Phys., 198:3 (2019), 376–391
2018
8.
V. N. Likhachev, G. A. Vinogradov, “Integral characteristics of wave packets in the problem of the evolution of a wave function on a one-dimensional lattice”, TMF, 197:2 (2018), 257–268; Theoret. and Math. Phys., 197:2 (2018), 1615–1625
9.
V. N. Likhachev, G. A. Vinogradov, “The Green's function in the problem of charge dynamics on a one-dimensional lattice with an impurity center”, TMF, 196:1 (2018), 88–98; Theoret. and Math. Phys., 196:1 (2018), 1018–1027
2014
10.
T. Yu. Astakhova, V. A. Kashin, V. N. Likhachev, G. A. Vinogradov, “Polaron dynamics on the lattice with cubic nonlinearity. Accurate solution and multipeaked polarons”, University proceedings. Volga region. Physical and mathematical sciences, 2014, no. 4, 79–95
11.
V. N. Likhachev, T. Yu. Astakhova, G. A. Vinogradov, “Exact solution of a nonresonance Zwanzig model and “quantum chaos””, TMF, 180:3 (2014), 382–393; Theoret. and Math. Phys., 180:3 (2014), 1086–1095
T. Yu. Astakhova, V. A. Kashin, V. N. Likhachev, G. A. Vinogradov, “Polarons on the One-Dimensional Lattice in the Su–Schrieffer–Heeger Model. Charge Transfer in DNA”, Mat. Biolog. Bioinform., 8:1 (2013), 316–339
13.
V. N. Likhachev, T. Yu. Astakhova, G. A. Vinogradov, “"Electron ping-pong" on a one-dimensional lattice: Multiple reflections of the wave packet and capture of the wave function by an acceptor”, TMF, 176:2 (2013), 306–321; Theoret. and Math. Phys., 176:2 (2013), 1087–1099
V. N. Likhachev, T. Yu. Astakhova, G. A. Vinogradov, “"Electron ping-pong" on a one-dimensional lattice: Wave packet motion up to the first reflection”, TMF, 175:2 (2013), 279–299; Theoret. and Math. Phys., 175:2 (2013), 681–698
T. Yu. Astakhova, V. N. Likhachev, G. A. Vinogradov, “Long-range charge transfer in biopolymers”, Usp. Khim., 81:11 (2012), 994–1010; Russian Chem. Reviews, 81:11 (2012), 994–1010
S. V. Lisenkov, G. A. Vinogradov, T. Yu. Astakhova, N. G. Lebedev, “Nonchiral BN Haeckelite nanotubes”, Pis'ma v Zh. Èksper. Teoret. Fiz., 81:7 (2005), 431–436; JETP Letters, 81:7 (2005), 346–350
S. V. Lisenkov, G. A. Vinogradov, N. G. Lebedev, “New class of non-carbon AlP nanotubes: Structure and electronic properties”, Pis'ma v Zh. Èksper. Teoret. Fiz., 81:4 (2005), 222–227; JETP Letters, 81:4 (2005), 185–189
L. A. Chernozatonskii, M. Manon, T. Yu. Astakhova, G. A. Vinogradov, “Carbon systems of polymerized nanotubes: Crystal and electronic structures”, Pis'ma v Zh. Èksper. Teoret. Fiz., 74:9 (2001), 523–527; JETP Letters, 74:9 (2001), 467–470
G. A. Vinogradov, “The Mechanism and Kinetics of the Polymerisation of Conjugated Diacetylenes. The Physical Properties of Polydiacetylenes”, Usp. Khim., 53:1 (1984), 135–175; Russian Chem. Reviews, 53:1 (1984), 77–102
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