852 research outputs found
Majority Rule Dynamics in Finite Dimensions
We investigate the long-time behavior of a majority rule opinion dynamics
model in finite spatial dimensions. Each site of the system is endowed with a
two-state spin variable that evolves by majority rule. In a single update
event, a group of spins with a fixed (odd) size is specified and all members of
the group adopt the local majority state. Repeated application of this update
step leads to a coarsening mosaic of spin domains and ultimate consensus in a
finite system. The approach to consensus is governed by two disparate time
scales, with the longer time scale arising from realizations in which spins
organize into coherent single-opinion bands. The consequences of this
geometrical organization on the long-time kinetics are explored.Comment: 8 pages, 2-column revtex format, 11 figures. Version 2: minor changes
in response to referee comments and typos corrected; final version for PR
Phase separation of the Potts model in que square lattice
When the two dimensional q-color Potts model in the square lattice is
quenched at zero temperature with Glauber dynamics, the energy decreases in
time following an Allen-Cahn power law, and the system converges to a phase
with energy higher than the ground state energy after an arbitrary large time
when q>4. At low but finite temperature, it cesses to obey the power-law regime
and orders after a very long time, which increases with q, and before which it
performs a domain growth process which tends to be slower as q increases. We
briefly present and comment numerical results on the ordering at nonzero
temperature.Comment: 3 pages, 1 figure, proceedings of the "International Workshop on
Complex sytems", June 2006 in Santander (Spain
Temperature-driven single-valley Dirac fermions in HgTe quantum wells
We report on temperature-dependent magnetospectroscopy of two HgTe/CdHgTe
quantum wells below and above the critical well thickness . Our results,
obtained in magnetic fields up to 16 T and temperature range from 2 K to 150 K,
clearly indicate a change of the band-gap energy with temperature. The quantum
well wider than evidences a temperature-driven transition from
topological insulator to semiconductor phases. At the critical temperature of
90 K, the merging of inter- and intra-band transitions in weak magnetic fields
clearly specifies the formation of gapless state, revealing the appearance of
single-valley massless Dirac fermions with velocity of
ms. For both quantum wells, the energies extracted from
experimental data are in good agreement with calculations on the basis of the
8-band Kane Hamiltonian with temperature-dependent parameters.Comment: 5 pages, 3 figures and Supplemental Materials (4 pages
Stochastic kinetics of ribosomes: single motor properties and collective behavior
Synthesis of protein molecules in a cell are carried out by ribosomes. A
ribosome can be regarded as a molecular motor which utilizes the input chemical
energy to move on a messenger RNA (mRNA) track that also serves as a template
for the polymerization of the corresponding protein. The forward movement,
however, is characterized by an alternating sequence of translocation and
pause. Using a quantitative model, which captures the mechanochemical cycle of
an individual ribosome, we derive an {\it exact} analytical expression for the
distribution of its dwell times at the successive positions on the mRNA track.
Inverse of the average dwell time satisfies a ``Michaelis-Menten-like''
equation and is consistent with the general formula for the average velocity of
a molecular motor with an unbranched mechano-chemical cycle. Extending this
formula appropriately, we also derive the exact force-velocity relation for a
ribosome. Often many ribosomes simultaneously move on the same mRNA track,
while each synthesizes a copy of the same protein. We extend the model of a
single ribosome by incorporating steric exclusion of different individuals on
the same track. We draw the phase diagram of this model of ribosome traffic in
3-dimensional spaces spanned by experimentally controllable parameters. We
suggest new experimental tests of our theoretical predictions.Comment: Final published versio
Expert system of diagnostics blast furnace process
The expert system of diagnostics blast furnace process is presented. It is based on a logical-mathematical model for assessing the progress of blast furnace smelting. The model provides an opportunity to evaluate the normal operation mode of blast furnace and further deviations from this mode such as overdeveloped gas flows (peripheral and central), violation of thermal melting conditions (hot and cold course of melt), violation of smooth descent of burned materials in the furnace (tight furnace operation, higher and lower suspension of burden). The functional capabilities of developed software are represented. © Published under licence by IOP Publishing Ltd
Distribution of dwell times of a ribosome: effects of infidelity, kinetic proofreading and ribosome crowding
Ribosome is a molecular machine that polymerizes a protein where the sequence
of the amino acid residues, the monomers of the protein, is dictated by the
sequence of codons (triplets of nucleotides) on a messenger RNA (mRNA) that
serves as the template. The ribosome is a molecular motor that utilizes the
template mRNA strand also as the track. Thus, in each step the ribosome moves
forward by one codon and, simultaneously, elongates the protein by one amino
acid. We present a theoretical model that captures most of the main steps in
the mechano-chemical cycle of a ribosome. The stochastic movement of the
ribosome consists of an alternating sequence of pause and translocation; the
sum of the durations of a pause and the following translocation is the time of
dwell of the ribosome at the corresponding codon. We derive the analytical
expression for the distribution of the dwell times of a ribosome in our model.
Whereever experimental data are available, our theoretical predictions are
consistent with those results. We suggest appropriate experiments to test the
new predictions of our model, particularly, the effects of the quality control
mechanism of the ribosome and that of their crowding on the mRNA track.Comment: This is an author-created, un-copyedited version of an article
accepted for publication in Physical Biology. IOP Publishing Ltd is not
responsible for any errors or omissions in this version of the manuscript or
any version derived from it. The definitive publisher authenticated version
is available online at DOI:10.1088/1478-3975/8/2/02600
Particles Sliding on a Fluctuating Surface: Phase Separation and Power Laws
We study a system of hard-core particles sliding downwards on a fluctuating
one-dimensional surface which is characterized by a dynamical exponent . In
numerical simulations, an initially random particle density is found to coarsen
and obey scaling with a growing length scale . The structure
factor deviates from the Porod law in some cases. The steady state is unusual
in that the density-segregation order parameter shows strong fluctuations. The
two-point correlation function has a scaling form with a cusp at small argument
which we relate to a power law distribution of particle cluster sizes. Exact
results on a related model of surface depths provides insight into the origin
of this behaviour.Comment: 5 pages, 5 Postscript figure
Експериментальне дослідження радіальних газових підвісів
Стаття присвячена експериментальному дослідженню газових підшипників, розробці методики експериментального виміру відновленого моменту у газостатичних циліндричних газових підвісах при асиметричному навантаженні.Статья посвящена эксперементальному исследованию газовых подшипников, разроботки методики эксперементального измерения восстанавливаюшего момента в газостатических цилиндрических газовых подвесах при ассиметрическом нагружении.The paper considers the experimental research of gas ball bearing, the development of methodics for experimental measurement of the renovated moment in gas static cylinderof gas ball bearing under the asymmetric loading
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