1,260 research outputs found
Spatially heterogeneous dynamics in granular compaction
We prove the emergence of spatially correlated dynamics in slowly compacting
dense granular media by analyzing analytically and numerically multi-point
correlation functions in a simple particle model characterized by slow
non-equilibrium dynamics. We show that the logarithmically slow dynamics at
large times is accompanied by spatially extended dynamic structures that
resemble the ones observed in glass-forming liquids and dense colloidal
suspensions. This suggests that dynamic heterogeneity is another key common
feature present in very different jamming materials.Comment: 4 pages, 3 figure
Domain scaling and marginality breaking in the random field Ising model
A scaling description is obtained for the --dimensional random field Ising
model from domains in a bar geometry. Wall roughening removes the marginality
of the case, giving the correlation length in , and for power law behaviour with
, . Here, (lattice, continuum) is one of four rough wall exponents provided by the
theory. The analysis is substantiated by three different numerical techniques
(transfer matrix, Monte Carlo, ground state algorithm). These provide for
strips up to width basic ingredients of the theory, namely free energy,
domain size, and roughening data and exponents.Comment: ReVTeX v3.0, 19 pages plus 19 figures uuencoded in a separate file.
These are self-unpacking via a shell scrip
Second-Line Therapy for Advanced NSCLC
Most patients with lung cancer have non-small cell lung cancer (NSCLC) subtype and have advanced disease at the time of diagnosis. Improvements in both first-line and subsequent therapies are allowing longer survival and enhanced quality of life for these patients. The median overall survival observed in many second-line trials is approximately 9 months, and many patients receive further therapy after second-line therapy. The cytotoxic agents pemetrexed and docetaxel and the epidermal growth factor receptor (EGFR) tyrosine kinase inhibitors (TKIs) erlotinib and gefitinib are standard second-line therapies. For patients with EGFR mutation, a TKI is the favored second-line therapy if not already used in first-line therapy. For patients without the EGFR mutation, TKIs are an option, but many oncologists favor cytotoxic therapy. The inhibitor of the EML4/ALK fusion protein, crizotinib, has recently become a standard second-line treatment for patients with the gene rearrangement and has promise for patients with the ROS1 rearrangement
Novel Approaches of Chemoradiotherapy in Unresectable Stage IIIA and Stage IIIB Non-Small Cell Lung Cancer
After completing this course, the reader will be able to
Random manifolds in non-linear resistor networks: Applications to varistors and superconductors
We show that current localization in polycrystalline varistors occurs on
paths which are, usually, in the universality class of the directed polymer in
a random medium. We also show that in ceramic superconductors, voltage
localizes on a surface which maps to an Ising domain wall. The emergence of
these manifolds is explained and their structure is illustrated using direct
solution of non-linear resistor networks
Classical evolution of fractal measures on the lattice
We consider the classical evolution of a lattice of non-linear coupled
oscillators for a special case of initial conditions resembling the equilibrium
state of a macroscopic thermal system at the critical point. The displacements
of the oscillators define initially a fractal measure on the lattice associated
with the scaling properties of the order parameter fluctuations in the
corresponding critical system. Assuming a sudden symmetry breaking (quench),
leading to a change in the equilibrium position of each oscillator, we
investigate in some detail the deformation of the initial fractal geometry as
time evolves. In particular we show that traces of the critical fractal measure
can sustain for large times and we extract the properties of the chain which
determine the associated time-scales. Our analysis applies generally to
critical systems for which, after a slow developing phase where equilibrium
conditions are justified, a rapid evolution, induced by a sudden symmetry
breaking, emerges in time scales much shorter than the corresponding relaxation
or observation time. In particular, it can be used in the fireball evolution in
a heavy-ion collision experiment, where the QCD critical point emerges, or in
the study of evolving fractals of astrophysical and cosmological scales, and
may lead to determination of the initial critical properties of the Universe
through observations in the symmetry broken phase.Comment: 15 pages, 15 figures, version publiced at Physical Review
Exact time-dependent correlation functions for the symmetric exclusion process with open boundary
As a simple model for single-file diffusion of hard core particles we
investigate the one-dimensional symmetric exclusion process. We consider an
open semi-infinite system where one end is coupled to an external reservoir of
constant density and which initially is in an non-equilibrium state
with bulk density . We calculate the exact time-dependent two-point
density correlation function and the mean and variance of the integrated average net flux
of particles that have entered (or left) the system up to time .
We find that the boundary region of the semi-infinite relaxing system is in a
state similar to the bulk state of a finite stationary system driven by a
boundary gradient. The symmetric exclusion model provides a rare example where
such behavior can be proved rigorously on the level of equal-time two-point
correlation functions. Some implications for the relaxational dynamics of
entangled polymers and for single-file diffusion in colloidal systems are
discussed.Comment: 11 pages, uses REVTEX, 2 figures. Minor typos corrected and reference
17 adde
First- and second-order phase transitions in a driven lattice gas with nearest-neighbor exclusion
A lattice gas with infinite repulsion between particles separated by
lattice spacing, and nearest-neighbor hopping dynamics, is subject to a drive
favoring movement along one axis of the square lattice. The equilibrium (zero
drive) transition to a phase with sublattice ordering, known to be continuous,
shifts to lower density, and becomes discontinuous for large bias. In the
ordered nonequilibrium steady state, both the particle and order-parameter
densities are nonuniform, with a large fraction of the particles occupying a
jammed strip oriented along the drive. The relaxation exhibits features
reminiscent of models of granular and glassy materials.Comment: 8 pages, 5 figures; results due to bad random number generator
corrected; significantly revised conclusion
Lee-Yang zeros and phase transitions in nonequilibrium steady states
We consider how the Lee-Yang description of phase transitions in terms of
partition function zeros applies to nonequilibrium systems. Here one does not
have a partition function, instead we consider the zeros of a steady-state
normalization factor in the complex plane of the transition rates. We obtain
the exact distribution of zeros in the thermodynamic limit for a specific
model, the boundary-driven asymmetric simple exclusion process. We show that
the distributions of zeros at the first and second order nonequilibrium phase
transitions of this model follow the patterns known in the Lee-Yang equilibrium
theory.Comment: 4 pages RevTeX4 with 4 figures; revised version to appear in Phys.
Rev. Let
A sufficient criterion for integrability of stochastic many-body dynamics and quantum spin chains
We propose a dynamical matrix product ansatz describing the stochastic
dynamics of two species of particles with excluded-volume interaction and the
quantum mechanics of the associated quantum spin chains respectively. Analyzing
consistency of the time-dependent algebra which is obtained from the action of
the corresponding Markov generator, we obtain sufficient conditions on the
hopping rates for identifing the integrable models. From the dynamical algebra
we construct the quadratic algebra of Zamolodchikov type, associativity of
which is a Yang Baxter equation. The Bethe ansatz equations for the spectra are
obtained directly from the dynamical matrix product ansatz.Comment: 19 pages Late
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