Soft modes and thermal transport in guest-host crystalline structures (2009)
Muratov, A. R., Kats, E. I., Schober, H.
We propose a simple phenomenological model describing vibrational dynamics in a class of materials (like clathrates), which are crystalline compounds with closed cavities in their structures. In the...
New mechanism for non-trivial intra-molecular vibrational dynamics (2009)
Benderskii, V. A., Kats, E. I.
We investigate the time evolution process of one selected (initially prepared by optical pumping) vibrational molecular state, coupled to all other intra-molecular vibrational states of the same...
Pyrophosphate Groups in Liquid Crystalline Phases of the DNA (2008)
Golo, V. L., Kats, E. I., Kuznetsova, S. A., Volkov, Yu. S.
We study electrostatic interaction between molecules of the DNA in which a number of phosphate groups of the sugar-phosphate backbone are exchanged for the pyrophosphate ones. We employ a model in...
Electromagnon excitations in modulated multiferroics (2007)
The phenomenological theory of ferroelectricity in spiral magnets presented in [M. Mostovoy, Phys. Rev. Lett. 96, 067601 (2006)] is generalized to describe consistently states with both uniform and...
Loschmidt echo and stochastic-like quantum dynamics of nano-particles (2007)
Benderskii, V. A., Falkovsky, L. A., Kats, E. I.
We investigate time evolution of prepared vibrational state (system) coupled to a reservoir with dense spectrum of its vibrational states. We assume that the reservoir has an equidistant spectrum,...
Concerted motion of protons in hydrogen bonds of DNA-type molecules (2005)
Golo, V. L., Kats, E. I., Peyrard, M.
We study the dynamical behaviour of the proton transfer in the hydrogen bonds in the base-pairs of the double helices of the DNA type. Under the assumption that the elastic and the tunnelling degrees...
Landau-Zener problem for energies close to potential crossing points (2005)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We examine one overlooked in previous investigations aspect of well - known Landau - Zener (LZ) problem, namely, the behavior in the intermediate, i.e. close to a crossing point, energy region, when...
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We investigate coherent and incoherent tunneling phenomena in conditions of crossing diabatic potentials. We consider a model of two crossing parabolic diabatic potentials with an independent of...
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We examine one important (and overlooked in all previous investigations) aspect of well - known crossing diabatic potentials or Landau - Zener (LZ) problem. We derive the semiclassical quantization...
Instanton versus traditional WKB approach to Landau - Zener problem (2005)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
Different theoretical approaches to the famous two state Landau - Zener problem are briefly discussed. Apart from traditional methods of the adiabatic perturbation theory, Born - Oppenheimer...
Semiclassical approach to states near potential barrier top (2005)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
Within the framework of the instanton approach we present analytical results for the following model problems: (i) particle penetration through a parabolic potential barrier, where the instanton...
Benderskii, V. A., Kats, E. I.
For a model 1d asymmetric double-well potential we calculated so-called survival probability (i.e. the probability for a particle initially localised in one well to remain there). We use a...
Structures and orientational transitions in thin films of tilted hexatic smectics (2005)
Dolganov, P. V., Belov, K. I., Dolganov, V. K., Demikhov, E. I., Bolotin, B. M., Kats, E. I.
We present detailed systematic studies of structural transformations in thin liquid crystal films with the smectic-C to hexatic phase transition. For the first time all possible structures reported...
A time lens for high resolution neutron time of flight spectrometers (2005)
Baumann, K., Gaehler, R., Grigoriev, P. D., Kats, E. I.
We examine in analytic and numeric ways the imaging effects of temporal neutron lenses created by traveling magnetic fields. For fields of parabolic shape we derive the imaging equations, investigate...
Accuracy of Semiclassics: Comparative Analysis of WKB and Instanton Approaches (2005)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We analyze quantitatively the accuracy of eigenfunction and eigenvalue calculations in the frame work of WKB and instanton semiclassical methods. We show that to estimate the accuracy it is enough to...
Semiclassical model of ultrafast photoisomerization reactions (2005)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I., Trommsdorff, H. P.
In this letter we propose a model which explains ultrafast and efficient photoisomerization reactions as driven by transitions between quasistationary states of one dimensional (1D) double well...
Sound modes broadening for Fibonacci one dimensional quasicrystals (2005)
We investigate vibrational excitation broadening in one dimensional Fibonacci model of quasicrystals (QCs). The chain is constructed from particles with two masses following the Fibonacci inflation...
Landau-Zener problem for energies close to potential crossing points (2004)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We examine one overlooked in previous investigations aspect of well - known Landau - Zener (LZ) problem, namely, the behavior in the intermediate, i.e. close to a crossing point, energy region, when...
Casimir forces in modulated systems (2004)
Dzyaloshinskii, I. E., Kats, E. I.
For the first time we present analytical results for the contribution of electromagnetic fluctuations into thermodynamic properties of modulated systems, like cholesteric or smectic liquid...
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We investigate coherent and incoherent tunneling phenomena in conditions of crossing diabatic potentials. We consider a model of two crossing parabolic diabatic potentials with an independent of...
Landau-Zener problem for energies close to potential crossing points (2004)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We examine one overlooked in previous investigations aspect of well - known Landau - Zener (LZ) problem, namely, the behavior in the intermediate, i.e. close to a crossing point, energy region, when...
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We investigate coherent and incoherent tunneling phenomena in conditions of crossing diabatic potentials. We consider a model of two crossing parabolic diabatic potentials with an independent of...
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We examine one important (and overlooked in all previous investigations) aspect of well - known crossing diabatic potentials or Landau - Zener (LZ) problem. We derive the semiclassical quantization...
Landau-Zener problem for energies close to potential crossing points (2004)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We examine one overlooked in previous investigations aspect of well - known Landau - Zener (LZ) problem, namely, the behavior in the intermediate, i.e. close to a crossing point, energy region, when...
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We investigate coherent and incoherent tunneling phenomena in conditions of crossing diabatic potentials. We consider a model of two crossing parabolic diabatic potentials with an independent of...
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We examine one important (and overlooked in all previous investigations) aspect of well - known crossing diabatic potentials or Landau - Zener (LZ) problem. We derive the semiclassical quantization...
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
We examine one important (and overlooked in all previous investigations) aspect of well - known crossing diabatic potentials or Landau - Zener (LZ) problem. We derive the semiclassical quantization...
Instanton versus traditional WKB approach to Landau - Zener problem (2003)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
Different theoretical approaches to the famous two state Landau - Zener problem are briefly discussed. Apart from traditional methods of the adiabatic perturbation theory, Born - Oppenheimer...
Instanton versus traditional WKB approach to Landau - Zener problem (2003)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
Different theoretical approaches to the famous two state Landau - Zener problem are briefly discussed. Apart from traditional methods of the adiabatic perturbation theory, Born - Oppenheimer...
Instanton versus traditional WKB approach to Landau - Zener problem (2003)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
Different theoretical approaches to the famous two state Landau - Zener problem are briefly discussed. Apart from traditional methods of the adiabatic perturbation theory, Born - Oppenheimer...
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I., Landau, L. D., Trommsdorff, H. P.
We present a path - integral approach to treat a 2D model of a quantum bifurcation. The model potential has two equivalent minima separated by one or two saddle points, depending on the value of a...
Disclination motion in hexatic and smectic-C films (2002)
Kats, E. I., Lebedev, V. V., Malinin, S. V.
We present theoretical study of a single disclination motion in a thin free standing hexatic (or smectic-C) film, driven by a large-scale inhomogeneity in the bond (or director) angle. Back-flow...
Sound modes in composite incommensurate crystals (2002)
Currat, R., Kats, E. I., Luk'yanchuk, I.
We propose a simple phenomenological model describing composite crystals, constructed from two parallel sets of periodic inter-penetrating chains. In the harmonic approximation and neglecting thermal...
Base pair dynamic assisted charge transport in DNA (2002)
An 1d model with time-dependent random hopping is proposed to describe charge transport in DNA. It admits to investigate both diffusion of electrons and their tunneling between different sites in...
Semiclassical approach to states near potential barrier top (2002)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
Within the framework of the instanton approach we present analytical results for the following model problems: (i) particle penetration through a parabolic potential barrier, where the instanton...
Semiclassical approach to states near potential barrier top (2002)
Benderskii, V. A., Vetoshkin, E. V., Kats, E. I.
Within the framework of the instanton approach we present analytical results for the following model problems: (i) particle penetration through a parabolic potential barrier, where the instanton...
Benderskii, V. A., Kats, E. I.
For a model 1d asymmetric double-well potential we calculated so-called survival probability (i.e. the probability for a particle initially localised in one well to remain there). We use a...
Concerted motion of protons in hydrogen bonds of DNA-type molecules (2001)
Golo, V. L., Kats, E. I., Peyrard, M.
We study the dynamical behaviour of the proton transfer in the hydrogen bonds in the base-pairs of the double helices of the DNA type. Under the assumption that the elastic and the tunnelling degrees...
Concerted motion of protons in hydrogen bonds of DNA-type molecules (2001)
Golo, V. L., Kats, E. I., Peyrard, M.
We study the dynamical behaviour of the proton transfer in the hydrogen bonds in the base-pairs of the double helices of the DNA type. Under the assumption that the elastic and the tunnelling degrees...
Benderskii, V. A., Kats, E. I.
For a model 1d asymmetric double-well potential we calculated so-called survival probability (i.e. the probability for a particle initially localised in one well to remain there). We use a...
Concerted motion of protons in hydrogen bonds of DNA-type molecules (2001)
Golo, V. L., Kats, E. I., Peyrard, M.
We study the dynamical behaviour of the proton transfer in the hydrogen bonds in the base-pairs of the double helices of the DNA type. Under the assumption that the elastic and the tunnelling degrees...
Benderskii, V. A., Kats, E. I.
For a model 1d asymmetric double-well potential we calculated so-called survival probability (i.e. the probability for a particle initially localised in one well to remain there). We use a...
Novel Cholesteric Phase in Dispersions of Nucleic Acids due to Polymeric Chelate Bridges (2000)
Golo, V. L., Kats, E. I., Volkov, Yu. S., Salyanov, V. I., Yevdokimov, Yu. M.
We consider cholesteric liquid-crystalline DNA dispersions, and show that polymeric (Dau-Cu) complexes, the so-called bridges, between pairs of DNA molecules may generate a super liquid-crystalline...
Network of Hydrogen Bonds as a Medium for DNA Interaction in Solvents (2000)
Golo, V. L., Kats, E. I., Yevdokimov, Yu. M.
We suggest that the DNA molecules could form the cholesteric phase owing to an interaction mediated by the network of the hydrogen bonds (H-network) in the solvent. The model admits of the dependence...
Domain Structures of Smectic Films Formed by Bent-Shaped Molecules (1999)
We formulate a simple Landau type model describing macroscopic behaviour recently discovered new smectic phases composed of achiral bent-shaped molecules. Films of such smectics exhibit three types...
A Model for Double-Stranded Excitations of DNA (1999)
Golo, V. L., Kats, E. I., Yevdokimov, Yu. M.
We calculate the spectrum of torsional vibrations of a double-stranded structure that models the double helix of the DNA. We come to the conclusion that within the framework of the model elementary...
Dynamic Fluctuation Phenomena in Double Membrane Films (1997)
Kats, E. I., Lebedev, V. V., Malinin, S. V.
Dynamics of double membrane films is investigated in the long-wavelength limit including the overdamped squeezing mode. We demonstrate that thermal fluctuations essentially modify the character of...
Long wavelength dynamics of free smectic films (1985)
The long wavelength dynamics of monomolecular smectic-A films is studied. Nonlinear nondissipative hydrodynamic equations are derived by means of the Poisson brackets technique. The dissipative terms...
Long wavelength dynamics of free smectic films (1985)
The long wavelength dynamics of monomolecular smectic-A films is studied. Nonlinear nondissipative hydrodynamic equations are derived by means of the Poisson brackets technique. The dissipative terms...
Long wavelength dynamics of free smectic films (1985)
The long wavelength dynamics of monomolecular smectic-A films is studied. Nonlinear nondissipative hydrodynamic equations are derived by means of the Poisson brackets technique. The dissipative terms...
Ordering in discotic liquid crystals (1984)
Kats, E.I., Monastyrsky, M. I.
Phase transitions in discotic liquid crystals are analysed in the Landau theory. Possible types of order in such systems are studied.
Ordering in discotic liquid crystals (1984)
Kats, E.I., Monastyrsky, M. I.
Phase transitions in discotic liquid crystals are analysed in the Landau theory. Possible types of order in such systems are studied.
Ordering in discotic liquid crystals (1984)
Kats, E.I., Monastyrsky, M. I.
Phase transitions in discotic liquid crystals are analysed in the Landau theory. Possible types of order in such systems are studied.
The dynamics of ac Josephson effect in nematic liquid crystals (1979)
The disclination loop mechanism of phase slippage in nematics is considered. The equilibrium density of disclinations in terms of an applied gradient of the angular velocity is found. The macroscopic...
The dynamics of ac Josephson effect in nematic liquid crystals (1979)
The disclination loop mechanism of phase slippage in nematics is considered. The equilibrium density of disclinations in terms of an applied gradient of the angular velocity is found. The macroscopic...
The dynamics of ac Josephson effect in nematic liquid crystals (1979)
The disclination loop mechanism of phase slippage in nematics is considered. The equilibrium density of disclinations in terms of an applied gradient of the angular velocity is found. The macroscopic...