16,367 research outputs found
Absolute continuity of symmetric Markov processes
We study Girsanov's theorem in the context of symmetric Markov processes,
extending earlier work of Fukushima-Takeda and Fitzsimmons on Girsanov
transformations of ``gradient type.'' We investigate the most general Girsanov
transformation leading to another symmetric Markov process. This investigation
requires an extension of the forward-backward martingale method of Lyons-Zheng,
to cover the case of processes with jumps.Comment: Published by the Institute of Mathematical Statistics
(http://www.imstat.org) in the Annals of Probability
(http://www.imstat.org/aop/) at http://dx.doi.org/10.1214/00911790400000043
Quantum phase diagram of an exactly solved mixed spin ladder
We investigate the quantum phase diagram of the exactly solved mixed
spin-(1/2,1) ladder via the thermodynamic Bethe ansatz (TBA). In the absence of
a magnetic field the model exhibits three quantum phases associated with su(2),
su(4) and su(6) symmetries. In the presence of a strong magnetic field, there
is a third and full saturation magnetization plateaux within the strong
antiferromagnetic rung coupling regime. Gapless and gapped phases appear in
turn as the magnetic field increases. For weak rung coupling, the fractional
magnetization plateau vanishs and exhibits new quantum phase transitions.
However, in the ferromagnetic coupling regime, the system does not have a third
saturation magnetization plat eau. The critical behaviour in the vicinity of
the critical points is also derived systematically using the TBA.Comment: 20 pages, 2 figure
Equilibrium Shape and Size of Supported Heteroepitaxial Nanoislands
We study the equilibrium shape, shape transitions and optimal size of
strained heteroepitaxial nanoislands with a two-dimensional atomistic model
using simply adjustable interatomic pair potentials. We map out the global
phase diagram as a function of substrate-adsorbate misfit and interaction. This
phase diagram reveals all the phases corresponding to different well-known
growth modes. In particular, for large enough misfits and attractive substrate
there is a Stranski-Krastanow regime, where nano-sized islands grow on top of
wetting films. We analyze the various terms contributing to the total island
energy in detail, and show how the competition between them leads to the
optimal shape and size of the islands. Finally, we also develop an analytic
interpolation formula for the various contributions to the total energy of
strained nanoislands.Comment: 9 pages, 7 figure
Theory of non-Fermi liquid near a diagonal electronic nematic state on a square lattice
We study effects of Fermi surface fluctuations on a single-particle life time
near the diagonal electronic nematic phase on a two-dimensional square lattice.
It has been shown that there exists a quantum critical point (QCP) between the
diagonal nematic and isotropic phases. We study the longitudinal fluctuations
of the order parameter near the critical point, where the singular forward
scattering leads to a non-Fermi liquid behavior over the whole Fermi surface
except along the k_x- and k_y-directions. We will also discuss the temperature
and chemical potential dependence of the single-particle decay rate.Comment: 4 pages, 3 figures, revtex
Do Linear Dispersions of Classical Waves Mean Dirac Cones?
By using the \vec{k}\cdot\vec{p} method, we propose a first-principles theory
to study the linear dispersions in phononic and photonic crystals. The theory
reveals that only those linear dispersions created by doubly-degenerate states
can be described by a reduced Hamiltonian that can be mapped into the Dirac
Hamiltonian and possess a Berry phase of -\pi. Triply-degenerate states can
also generate Dirac-like cone dispersions, but the wavefunctions transform like
a spin-1 particle and the Berry phase is zero. Our theory is capable of
predicting accurately the linear slopes of Dirac/Dirac-like cones at various
symmetry points in a Brilliouin zone, independent of frequency and lattice
structure
Phase Stability in the Two dimensional Anisotropic Boson Hubbard Hamiltonian
The two dimensional square lattice hard-core boson Hubbard model with near
neighbor interactions has a `checkerboard' charge density wave insulating phase
at half-filling and sufficiently large intersite repulsion. When doped, rather
than forming a supersolid phase in which long range charge density wave
correlations coexist with a condensation of superfluid defects, the system
instead phase separates. However, it is known that there are other lattice
geometries and interaction patterns for which such coexistence takes place. In
this paper we explore the possibility that anisotropic hopping or anisotropic
near neighbor repulsion might similarly stabilize the square lattice
supersolid. By considering the charge density wave structure factor and
superfluid density for different ratios of interaction strength and
hybridization in the and directions, we conclude that phase
separation still occurs.Comment: 8 pages, 11 figure
Unexpected cell type-dependent effects of autophagy on polyglutamine aggregation revealed by natural genetic variation in C. elegans.
BACKGROUND: Monogenic protein aggregation diseases, in addition to cell selectivity, exhibit clinical variation in the age of onset and progression, driven in part by inter-individual genetic variation. While natural genetic variants may pinpoint plastic networks amenable to intervention, the mechanisms by which they impact individual susceptibility to proteotoxicity are still largely unknown.
RESULTS: We have previously shown that natural variation modifies polyglutamine (polyQ) aggregation phenotypes in C. elegans muscle cells. Here, we find that a genomic locus from C. elegans wild isolate DR1350 causes two genetically separable aggregation phenotypes, without changing the basal activity of muscle proteostasis pathways known to affect polyQ aggregation. We find that the increased aggregation phenotype was due to regulatory variants in the gene encoding a conserved autophagy protein ATG-5. The atg-5 gene itself conferred dosage-dependent enhancement of aggregation, with the DR1350-derived allele behaving as hypermorph. Surprisingly, increased aggregation in animals carrying the modifier locus was accompanied by enhanced autophagy activation in response to activating treatment. Because autophagy is expected to clear, not increase, protein aggregates, we activated autophagy in three different polyQ models and found a striking tissue-dependent effect: activation of autophagy decreased polyQ aggregation in neurons and intestine, but increased it in the muscle cells.
CONCLUSIONS: Our data show that cryptic natural variants in genes encoding proteostasis components, although not causing detectable phenotypes in wild-type individuals, can have profound effects on aggregation-prone proteins. Clinical applications of autophagy activators for aggregation diseases may need to consider the unexpected divergent effects of autophagy in different cell types
Stress release mechanisms for Cu on Pd(111) in the submonolayer and monolayer regimes
We study the strain relaxation mechanisms of Cu on Pd(111) up to the
monolayer regime using two different computational methodologies, basin-hopping
global optimization and energy minimization with a repulsive bias potential.
Our numerical results are consistent with experimentally observed
layer-by-layer growth mode. However, we find that the structure of the Cu layer
is not fully pseudomorphic even at low coverages. Instead, the Cu adsorbates
forms fcc and hcp stacking domains, separated by partial misfit dislocations.
We also estimate the minimum energy path and energy barriers for transitions
from the ideal epitaxial state to the fcc-hcp domain pattern.Comment: 4 pages, 4 figure
Equilibrium shape and dislocation nucleation in strained epitaxial nanoislands
We study numerically the equilibrium shapes, shape transitions and
dislocation nucleation of small strained epitaxial islands with a
two-dimensional atomistic model, using simple interatomic pair potentials. We
first map out the phase diagram for the equilibrium island shapes as a function
of island size (up to N = 105 atoms) and lattice misfit with the substrate and
show that nanoscopic islands have four generic equilibrium shapes, in contrast
with predictions from the continuum theory of elasticity. For increasing
substrate-adsorbate attraction, we find islands that form on top of a finite
wetting layer as observed in Stranski-Krastanow growth. We also investigate
energy barriers and transition paths for transitions between different shapes
of the islands and for dislocation nucleation in initially coherent islands. In
particular, we find that dislocations nucleate spontaneously at the edges of
the adsorbate-substrate interface above a critical size or lattice misfit.Comment: 4 pages, 3 figures, uses wrapfig.sty and epsfig.st
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