A translation invariant bipolaron in the Holstein model and superconductivity.

Large-radius translation invariant (TI) bipolarons are considered in a one-dimensional Holstein molecular chain. Criteria of their stability are obtained. The energy of a translation invariant bipolaron is shown to be lower than that of a bipolaron with broken symmetry.

Structural model of amyloid fibrils for amyloidogenic peptide from Bgl2p-glucantransferase of S. cerevisiae cell wall and its modifying analog. New morphology of amyloid fibrils.

We performed a comparative study of the process of amyloid formation by short homologous peptides with a substitution of aspartate for glutamate in position 2 - VDSWNVLVAG (AspNB) and VESWNVLVAG (GluNB) - with unblocked termini. Peptide AspNB (residues 166-175) corresponded to the predicted amyloidogenic region of the protein glucantransferase Bgl2 from the Saccharomyces cerevisiae cell wall. The process of amyloid formation was monitored by fluorescence spectroscopy (FS), electron microscopy (EM), tandem mass spectrometry (TMS), and X-ray diffraction (XD) methods.

Large-displacement statistics of the rightmost particle of the one-dimensional branching Brownian motion.

Consider a one-dimensional branching Brownian motion and rescale the coordinate and time so that the rates of branching and diffusion are both equal to 1. If X_{1}(t) is the position of the rightmost particle of the branching Brownian motion at time t, the empirical velocity c of this rightmost particle is defined as c=X_{1}(t)/t. Using the Fisher-Kolmogorov-Petrovsky-Piscounov equation, we evaluate the probability distribution P(c,t) of this empirical velocity c in the long-time t limit for c>2.

Synchronized Ion Acceleration by Ultraintense Slow Light.

An effective scheme of synchronized laser-triggered ion acceleration and the corresponding theoretical model are proposed for a slow light pulse of relativistic intensity, which penetrates into a near-critical-density plasma, strongly slows, and then increases its group velocity during propagation within a target. The 3D particle-in-cell simulations confirm this concept for proton acceleration by a femtosecond petawatt-class laser pulse experiencing relativistic self-focusing, quantify the characteristics of the generated protons, and demonstrate a significant increase of their energy compared with the proton energy generated from optimized ultrathin solid dense foils.

Repetitive patterns in rapid optical variations in the nearby black-hole binary V404 Cygni.

How black holes accrete surrounding matter is a fundamental yet unsolved question in astrophysics. It is generally believed that matter is absorbed into black holes via accretion disks, the state of which depends primarily on the mass-accretion rate. When this rate approaches the critical rate (the Eddington limit), thermal instability is supposed to occur in the inner disk, causing repetitive patterns of large-amplitude X-ray variability (oscillations) on timescales of minutes to hours.

Predictions for the energy loss of light ions in laser-generated plasmas at low and medium velocities.

The energy loss of light ions in dense plasmas is investigated with special focus on low to medium projectile energies, i.e., at velocities where the maximum of the stopping power occurs.

Active Plasma Lensing for Relativistic Laser-Plasma-Accelerated Electron Beams.

Compact, tunable, radially symmetric focusing of electrons is critical to laser-plasma accelerator (LPA) applications. Experiments are presented demonstrating the use of a discharge-capillary active plasma lens to focus 100-MeV-level LPA beams. The lens can provide tunable field gradients in excess of 3000 T/m, enabling cm-scale focal lengths for GeV-level beam energies and allowing LPA-based electron beams and light sources to maintain their compact footprint.

Extreme current fluctuations in lattice gases: beyond nonequilibrium steady states.

We use the macroscopic fluctuation theory (MFT) to study large current fluctuations in nonstationary diffusive lattice gases. We identify two universality classes of these fluctuations, which we call elliptic and hyperbolic. They emerge in the limit when the deterministic mass flux is small compared to the mass flux due to the shot noise.

Evolution of cooperative strategies from first principles.

One of the greatest challenges in the modern biological and social sciences is to understand the evolution of cooperative behaviour. General outlines of the answer to this puzzle are currently emerging as a result of developments in the theories of kin selection, reciprocity, multilevel selection and cultural group selection. The main conceptual tool used in probing the logical coherence of proposed explanations has been game theory, including both analytical models and agent-based simulations.

Tracking the trajectories of evolution.

This article proposes a method of visualizing and measuring evolution in artificial life simulations. The evolving population of agents is treated as a dynamical system. The proposed method is inspired by the notion of trajectory.

Oscillatory network with self-organized dynamical connections for synchronization-based image segmentation.

An oscillatory network of columnar architecture located in 3D spatial lattice was recently designed by the authors as oscillatory model of the brain visual cortex. Single network oscillator is a relaxational neural oscillator with internal dynamics tunable by visual image characteristics - local brightness and elementary bar orientation. It is able to demonstrate either activity state (stable undamped oscillations) or "silence" (quickly damped oscillations).

Tokamak equilibria with reversed current density.

Observations of nearly zero toroidal current in the central region of tokamaks (the "current hole") raises the question of the existence of toroidal equilibria with very low or reversed current in the core. The solutions of the Grad-Shafranov equilibrium equation with hollow toroidal current density profile including negative current density in the plasma center are investigated. Solutions of the corresponding eigenvalue problem provide simple examples of such equilibrium configurations.

Chaos in spacecraft attitude motion in Earth's magnetic field.

The rotational motion of a satellite with a magnetic stabilization system is discussed. The motion is described by a nonautonomous differential equation, with the magnetic moment of the satellite as a parameter. The global phase portrait of the problem is investigated in a wide range of magnetic-parameter values, using a numerical realization of the method of Poincare point maps.

[A model of electron transport in chloroplasts taking into account the Mitchell Q-cycle. Calculation of J(e) and J(H) fluxes in steady state].

On the basis of the earlier proposed model of electron transport, which takes into account the Mitchell Q-cycle, stationary values for the fluxes of electrons Je along the electron transport chain and of protons JH across the thylakoid membrane were obtained, which are calculated now as the functions of photoexcitation of reaction centers and the medium acidity inside and outside of the thylakoid, pHin and pHout. In the framework of the model, the stoichiometric ratio JH/Je is determined virtually only by the time of reduction of plastoquinone (tau B) on the B site of photosystem II and restoration of plastoquinone (tau C) on the C site to the b/f complex.

Theory of collision algorithms for gases and plasmas based on the boltzmann equation and the landau-fokker-planck equation.

A time-explicit formula that describes the time evolution of velocity distribution functions of gases and plasmas is derived from the Boltzmann equation. The formula can be used to construct collision simulation algorithms. Specialization of the formula to the case of the Coulomb interaction shows that the previous method [K.

[A model of electron transport in chloroplasts taking into account the Mitchell Q-cycle. A numerical experiment].

A mathematical model of electron transfer Je coupled with transmembrane transport of protons JH in chloroplasts is proposed. It is taken into account that a part of the whole electron flow can be involved in the circle around the b/f-complex. This allows one to explain the experimental dependences of Je and JH on pH inside and outside thylakoid.

Regular and chaotic motions in applied dynamics of a rigid body.

Periodic and regular motions, having a predictable functioning mode, play an important role in many problems of dynamics. The achievements of mathematics and mechanics (beginning with Poincare) have made it possible to establish that such motion modes, generally speaking, are local and form "islands" of regularity in a "chaotic sea" of essentially unpredictable trajectories. The development of computer techniques together with theoretical investigations makes it possible to study the global structure of the phase space of many problems having applied significance.

On the solvent motion in electrophoretic systems.

A corrected model describing transport processes for multicomponent mixtures in electric field is proposed. This model is more consistent compared to the other models of this sort used for simulations of electrophoresis in the case of concentrated solutions. The main idea underlying the model is in accounting for the motion of a solvent.

On the measurements of electrophoretic mobilities by means of capillary isotachophoresis at a constant voltage.

A method for measuring electrophoretic mobilities by means of isotachophoresis (ITP) at a constant voltage as described by H. Carchon and E. Eggermont (Electrophoresis, 1982, 3, 263-274) is analyzed.

Quantitative studies of different injection systems in capillary electrophoresis.

For a rigorous assessment of the precise amount of sample loaded, for quantitation purposes, different sample injection systems were evaluated with two commercially available units, Waters Quanta 4000 and Beckman P/ACE 2100. In the first system, sample introduction by hydrostatic means (i.e.

Computer simulation of tRNA secondary structure folding.

Computer simulation results of folding linear RNA molecules into secondary structures are presented. The structure is formed by two interacting processes: the RNA molecular chain growth (beginning from an initial length, L0), and the structuring (secondary structure sequential growth in the region of the existing molecular chain, based on the local free energy minimization by sequential addition of elementary substructures--stems). It was found that the final secondary structure formation is greatly influenced by the 'structuring period' T (the ratio of the molecular chain growth rate to the structuring rate), and the direction of RNA synthesis.

Computer simulation of transient states in capillary zone electrophoresis and isotachophoresis.

Transient states in the evolution of electrophoretic systems comprising aqueous solutions of weak monovalent acids and bases are simulated. The mathematical model is based on the system of nonstationary partial differential equations, expressing the mass and charge conservation laws while assuming local chemical equilibrium. It was implemented using a high resolution finite-difference algorithm, which correctly predicted the behavior of the concentration, pH and conductivity fields at low computational expense.