369 research outputs found
Scaling Behaviors of Branched Polymers
We study the thermodynamic behavior of branched polymers. We first study
random walks in order to clarify the thermodynamic relation between the
canonical ensemble and the grand canonical ensemble. We then show that
correlation functions for branched polymers are given by those for
theory with a single mass insertion, not those for the theory
themselves. In particular, the two-point function behaves as , not as
, in the scaling region. This behavior is consistent with the fact that
the Hausdorff dimension of the branched polymer is four.Comment: 17 pages, 3 figure
On gonihedric loops and quantum gravity
We present an analysis of the gonihedric loop model, a reformulation of the
two dimensional gonihedric spin model, using two different techniques. First,
the usual regular lattice statistical physics problem is mapped onto a height
model and studied analytically. Second, the gravitational version of this loop
model is studied via matrix models techniques. Both methods lead to the
conclusion that the model has for all values of the parameters
of the model. In this way it is possible to understand the absence of a
continuous transition
Expression of plasma soluble fas, an apoptosis inhibitor, and plasma soluble fas ligand, an inducer of apoptosis, in patients with acute myocardial infarction
Eigenvalue correlations in non-Hermitean symplectic random matrices
Correlation function of complex eigenvalues of N by N random matrices drawn
from non-Hermitean random matrix ensemble of symplectic symmetry is given in
terms of a quaternion determinant. Spectral properties of Gaussian ensembles
are studied in detail in the regimes of weak and strong non-Hermiticity.Comment: 14 page
The Calogero-Moser equation system and the ensemble average in the Gaussian ensembles
From random matrix theory it is known that for special values of the coupling
constant the Calogero-Moser (CM) equation system is nothing but the radial part
of a generalized harmonic oscillator Schroedinger equation. This allows an
immediate construction of the solutions by means of a Rodriguez relation. The
results are easily generalized to arbitrary values of the coupling constant. By
this the CM equations become nearly trivial.
As an application an expansion for in terms of eigenfunctions of
the CM equation system is obtained, where X and Y are matrices taken from one
of the Gaussian ensembles, and the brackets denote an average over the angular
variables.Comment: accepted by J. Phys.
Boundedness of Pseudodifferential Operators on Banach Function Spaces
We show that if the Hardy-Littlewood maximal operator is bounded on a
separable Banach function space and on its associate space
, then a pseudodifferential operator
is bounded on whenever the symbol belongs to the
H\"ormander class with ,
or to the the Miyachi class
with ,
. This result is applied to the case of
variable Lebesgue spaces .Comment: To appear in a special volume of Operator Theory: Advances and
Applications dedicated to Ant\'onio Ferreira dos Santo
An Efficient Ligation Method in the Making of an in vitro Virus for in vitro Protein Evolution
The âin vitro virusâ is a molecular construct to perform evolutionary protein engineering. The âvirion (=viral particle)â (mRNA-peptide fusion), is made by bonding a nascent protein with its coding mRNA via puromycin in a test tube for in vitro translation. In this work, the puromycin-linker was attached to mRNA using the Y-ligation, which was a method of two single-strands ligation at the end of a double-stranded stem to make a stem-loop structure. This reaction gave a yield of about 95%. We compared the Y-ligation with two other ligation reactions and showed that the Y-ligation gave the best productivity. An efficient amplification of the in vitro virus with this âviral genomeâ was demonstrated
Correlation functions of the BC Calogero-Sutherland model
The BC-type Calogero-Sutherland model (CSM) is an integrable extension of the
ordinary A-type CSM that possesses a reflection symmetry point. The BC-CSM is
related to the chiral classes of random matrix ensembles (RMEs) in exactly the
same way as the A-CSM is related to the Dyson classes. We first develop the
fermionic replica sigma-model formalism suitable to treat all chiral RMEs. By
exploiting ''generalized color-flavor transformation'' we then extend the
method to find the exact asymptotics of the BC-CSM density profile. Consistency
of our result with the c=1 Gaussian conformal field theory description is
verified. The emerging Friedel oscillations structure and sum rules are
discussed in details. We also compute the distribution of the particle nearest
to the reflection point.Comment: 12 pages, no figure, REVTeX4. sect.V updated, references added (v3
Magnon delocalization in ferromagnetic chains with long-range correlated disorder
We study one-magnon excitations in a random ferromagnetic Heisenberg chain
with long-range correlations in the coupling constant distribution. By
employing an exact diagonalization procedure, we compute the localization
length of all one-magnon states within the band of allowed energies . The
random distribution of coupling constants was assumed to have a power spectrum
decaying as . We found that for ,
one-magnon excitations remain exponentially localized with the localization
length diverging as 1/E. For a faster divergence of is
obtained. For any , a phase of delocalized magnons emerges at the
bottom of the band. We characterize the scaling behavior of the localization
length on all regimes and relate it with the scaling properties of the
long-range correlated exchange coupling distribution.Comment: 7 Pages, 5 figures, to appear in Phys. Rev.
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