3,586 research outputs found
Mean Field Approach for a Statistical Mechanical Model of Proteins
We study the thermodynamical properties of a topology-based model proposed by
Galzitskaya and Finkelstein for the description of protein folding. We devise
and test three different mean-field approaches for the model, that simplify the
treatment without spoiling the description. The validity of the model and its
mean-field approximations is checked by applying them to the -hairpin
fragment of the immunoglobulin-binding protein (GB1) and making a comparison
with available experimental data and simulation results. Our results indicate
that this model is a rather simple and reasonably good tool for interpreting
folding experimental data, provided the parameters of the model are carefully
chosen. The mean-field approaches substantially recover all the relevant exact
results and represent reliable alternatives to the Monte Carlo simulations.Comment: RevTeX-4, 11 pages, 6 eps-figures, To Appear on J.Chem.Phy
Universal Description of Granular Metals at Low Temperatures: Granular Fermi Liquid
We present a unified description of the low temperature phase of granular
metals that reveals a striking generality of the low temperature behaviors. Our
model explains the universality of the low-temperature conductivity that
coincides exactly with that of the homogeneously disordered systems and enables
a straightforward derivation of low temperature characteristics of disordered
conductors.Comment: 4 pages, 1 figur
General solution of equations of motion for a classical particle in 9-dimensional Finslerian space
A Lagrangian description of a classical particle in a 9-dimensional flat
Finslerian space with a cubic metric function is constructed. The general
solution of equations of motion for such a particle is obtained. The Galilean
law of inertia for the Finslerian space is confirmed.Comment: 10 pages, LaTeX-2e, no figures; added 2 reference
Suppression of superconductivity in granular metals
We investigate the suppression of the superconducting transition temperature
due to Coulomb repulsion in granular metallic systems at large tunneling
conductance between the grains, . We find the correction to the
superconducting transition temperature for 3 granular samples and films. We
demonstrate that depending on the parameters of superconducting grains, the
corresponding granular samples can be divided into two groups: (i) the granular
samples that belong to the first group may have only insulating or
superconducting states at zero temperature depending on the bare intergranular
tunneling conductance , while (ii) the granular samples that belong to the
second group in addition have an intermediate metallic phase where
superconductivity is suppressed while the effects of the Coulomb blockade are
not yet strong.Comment: 4 pages, 3 figure
Renormalization of hole-hole interaction at decreasing Drude conductivity
The diffusion contribution of the hole-hole interaction to the conductivity
is analyzed in gated GaAs/InGaAs/GaAs heterostructures. We show
that the change of the interaction correction to the conductivity with the
decreasing Drude conductivity results both from the compensation of the singlet
and triplet channels and from the arising prefactor in the
conventional expression for the interaction correction.Comment: 6 pages, 5 figure
Effects of fluctuations and Coulomb interaction on the transition temperature of granular superconductors
We investigate the suppression of superconducting transition temperature in
granular metallic systems due to (i) fluctuations of the order parameter
(bosonic mechanism) and (ii) Coulomb repulsion (fermionic mechanism) assuming
large tunneling conductance between the grains . We find the
correction to the superconducting transition temperature for 3 granular
samples and films. We demonstrate that if the critical temperature , where is the mean level spacing in a single grain the bosonic
mechanism is the dominant mechanism of the superconductivity suppression, while
for critical temperatures the suppression of
superconductivity is due to the fermionic mechanism.Comment: 12 pages, 9 figures, several sections clarifying the details of our
calculations are adde
Electron Interactions in Bilayer Graphene: Marginal Fermi Liquid Behaviour and Zero Bias Anomaly
We analyze the many-body properties of bilayer graphene (BLG) at charge
neutrality, governed by long range interactions between electrons. Perturbation
theory in a large number of flavors is used in which the interactions are
described within a random phase approximation, taking account of dynamical
screening effect. Crucially, the dynamically screened interaction retains some
long range character, resulting in renormalization of key quantities.
We carry out the perturbative renormalization group calculations to one loop
order, and find that BLG behaves to leading order as a marginal Fermi liquid.
Interactions produce a log squared renormalization of the quasiparticle residue
and the interaction vertex function, while all other quantities renormalize
only logarithmically. We solve the RG flow equation for the Green function with
logarithmic accuracy, and find that the quasiparticle residue flows to zero
under RG. At the same time, the gauge invariant quantities, such as the
compressibility, remain finite to order, with subleading logarithmic
corrections. The key experimental signature of this marginal Fermi liquid
behavior is a strong suppression of the tunneling density of states, which
manifests itself as a zero bias anomaly in tunneling experiments in a regime
where the compressibility is essentially unchanged from the non-interacting
value.Comment: 12 pages, 3 figure
A model for the accidental catalysis of protein unfolding in vivo
Activated processes such as protein unfolding are highly sensitive to
heterogeneity in the environment. We study a highly simplified model of a
protein in a random heterogeneous environment, a model of the in vivo
environment. It is found that if the heterogeneity is sufficiently large the
total rate of the process is essentially a random variable; this may be the
cause of the species-to-species variability in the rate of prion protein
conversion found by Deleault et al. [Nature, 425 (2003) 717].Comment: 5 pages, 2 figure
Giant suppression of the Drude conductivity due to quantum interference in disordered two-dimensional systems
Temperature and magnetic field dependences of the conductivity in heavily
doped, strongly disordered two-dimensional quantum well structures
GaAs/InGaAs/GaAs are investigated within wide conductivity and
temperature ranges. Role of the interference in the electron transport is
studied in the regimes when the phase breaking length crosses over the
localization length with lowering temperature,
where and are the Fermi quasimomentum and mean free path,
respectively. It has been shown that all the experimental data can be
understood within framework of simple model of the conductivity over
delocalized states. This model differs from the conventional model of the weak
localization developed for and by one point: the
value of the quantum interference contribution to the conductivity is
restricted not only by the phase breaking length but by the
localization length as well. We show that just the quantity
rather than
, where is the dephasing time and
, is responsible for the temperature and
magnetic field dependences of the conductivity over the wide range of
temperature and disorder strength down to the conductivity of order .Comment: 11 pages, 15 figure
Diffusion and ballistic contributions of the interaction correction to the conductivity of a two-dimensional electron gas
The results of an experimental study of interaction quantum correction to the
conductivity of two-dimensional electron gas in AB semiconductor
quantum well heterostructures are presented for a wide range of
-parameter (), where is the transport
relaxation time. A comprehensive analysis of the magnetic field and temperature
dependences of the resistivity and the conductivity tensor components allows us
to separate the ballistic and diffusion parts of the correction. It is shown
that the ballistic part renormalizes in the main the electron mobility, whereas
the diffusion part contributes to the diagonal and does not to the off-diagonal
component of the conductivity tensor. We have experimentally found the values
of the Fermi-liquid parameters describing the electron-electron contribution to
the transport coefficients, which are found in a good agreement with the
theoretical results.Comment: 11 pages, 11 figure
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