748 research outputs found
Replica Cluster Variational Method: the Replica Symmetric solution for the 2D random bond Ising model
We present and solve the Replica Symmetric equations in the context of the
Replica Cluster Variational Method for the 2D random bond Ising model
(including the 2D Edwards-Anderson spin glass model). First we solve a
linearized version of these equations to obtain the phase diagrams of the model
on the square and triangular lattices. In both cases the spin-glass transition
temperatures and the tricritical point estimations improve largely over the
Bethe predictions. Moreover, we show that this phase diagram is consistent with
the behavior of inference algorithms on single instances of the problem.
Finally, we present a method to consistently find approximate solutions to the
equations in the glassy phase. The method is applied to the triangular lattice
down to T=0, also in the presence of an external field.Comment: 22 pages, 11 figure
Thermodynamics of the glassy state: effective temperature as an additional system parameter
A system is glassy when the observation time is much smaller than the
equilibration time. A unifying thermodynamic picture of the glassy state is
presented. Slow configurational modes are in quasi-equilibrium at an effective
temperature. It enters thermodynamic relations with the configurational entropy
as conjugate variable. Slow fluctuations contribute to susceptibilities via
quasi-equilibrium relations, while there is also a configurational term.
Fluctuation-dissipation relations also involve the effective temperature.
Fluctuations in the energy are non-universal, however. The picture is supported
by analytically solving the dynamics of a toy model.Comment: 5 pages, REVTEX. Phys. Rev. Lett, to appea
Field induced magnetic transition and metastability in Co substituted
A detailed investigation of first order ferrimagnetic (FRI) to
antiferromagnetic (AFM) transition in Co (15%) doped is carried out.
These measurements demonstrate anomalous thermomagnetic irreversibility and
glass-like frozen FRI phase at low temperatures. The irreversibility arising
between the supercooling and superheating spinodals is distinguised in an
ingenious way from the irreversibility arising due to kinetic arrest. Field
annealing measurements shows reentrant FRI-AFM-FRI transition with increasing
temperature. These measurements also show that kinetic arrest band and
supercooling band are anitcorrelated i.e regions which are kinetically arrested
at higher temperature have lower supercooling temperature and vice versa.Comment: 10 pages, 8 figure
Effective temperature and jamming transition in dense, gently sheared granular assemblies
We present extensive computational results for the effective temperature,
defined by the fluctuation-dissipation relation between the mean square
displacement and the average displacement of grains, under the action of a
weak, external perturbation, of a sheared, bi-disperse granular packing of
compressible spheres. We study the dependence of this parameter on the shear
rate and volume fractions, the type of particle and the observable in the
fluctuation-dissipation relation. We find the same temperature for different
tracer particles in the system. The temperature becomes independent on the
shear rate for slow enough shear suggesting that it is the effective
temperature of the jammed packing. However, we also show that the agreement of
the effective temperature for different observables is only approximate, for
very long times, suggesting that this defintion may not capture the full
thermodynamics of the system. On the other hand, we find good agreement between
the dynamical effective temperature and a compactivity calculated assuming that
all jammed states are equiprobable. Therefore, this definition of temperature
may capture an instance of the ergodic hypothesis for granular materials as
proposed by theoretical formalisms for jamming. Finally, our simulations
indicate that the average shear stress and apparent shear viscosity follow the
usual relation with the shear rate for complex fluids. Our results show that
the application of shear induces jamming in packings whose particles interact
by tangential forces.Comment: Preprint form, 23 pages, 18 figure
Observation of Fluctuation-Dissipation-Theorem Violations in a Structural Glass
The fluctuation-dissipation theorem (FDT), connecting dielectric
susceptibility and polarization noise was studied in glycerol below its glass
transition temperature Tg. Weak FDT violations were observed after a quench
from just above to just below Tg, for frequencies above the alpha peak.
Violations persisted up to 10^5 times the thermal equilibration time of the
configurational degrees of freedom under study, but comparable to the average
relaxation time of the material. These results suggest that excess energy flows
from slower to faster relaxing modes.Comment: Improved discussion; final version to appear in Phys. Rev. Lett. 4
pages, 5 PS figures, RevTe
The Yeast Cell-Cycle Network Is Robustly Designed
The interactions between proteins, DNA, and RNA in living cells constitute
molecular networks that govern various cellular functions. To investigate the
global dynamical properties and stabilities of such networks, we studied the
cell-cycle regulatory network of the budding yeast. With the use of a simple
dynamical model, it was demonstrated that the cell-cycle network is extremely
stable and robust for its function. The biological stationary state--the G1
state--is a global attractor of the dynamics. The biological pathway--the
cell-cycle sequence of protein states--is a globally attracting trajectory of
the dynamics. These properties are largely preserved with respect to small
perturbations to the network. These results suggest that cellular regulatory
networks are robustly designed for their functions.Comment: 24 pages, 7 figures, 3 tables; minor changes; journal version; higher
resolution figures at http://www.neci.nj.nec.com/homepages/tang/publication
Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
This review reports on the research done during the past years on violations
of the fluctuation-dissipation theorem (FDT) in glassy systems. It is focused
on the existence of a quasi-fluctuation-dissipation theorem (QFDT) in glassy
systems and the currently supporting knowledge gained from numerical simulation
studies. It covers a broad range of non-stationary aging and stationary driven
systems such as structural-glasses, spin-glasses, coarsening systems,
ferromagnetic models at criticality, trap models, models with entropy barriers,
kinetically constrained models, sheared systems and granular media. The review
is divided into four main parts: 1) An introductory section explaining basic
notions related to the existence of the FDT in equilibrium and its possible
extension to the glassy regime (QFDT), 2) A description of the basic analytical
tools and results derived in the framework of some exactly solvable models, 3)
A detailed report of the current evidence in favour of the QFDT and 4) A brief
digression on the experimental evidence in its favour. This review is intended
for inexpert readers who want to learn about the basic notions and concepts
related to the existence of the QFDT as well as for the more expert readers who
may be interested in more specific results.Comment: 120 pages, 37 figures. Topical review paper . Several typos and
misprints corrected, new references included and others updated. to be
published in J. Phys. A (Math. Gen.
Chiral critical behavior in two dimensions from five-loop renormalization-group expansions
We analyse the critical behavior of two-dimensional N-vector spin systems
with noncollinear order within the five-loop renormalization-group
approximation. The structure of the RG flow is studied for different N leading
to the conclusion that the chiral fixed point governing the critical behavior
of physical systems with N = 2 and N = 3 does not coincide with that given by
the 1/N expansion. We show that the stable chiral fixed point for ,
including N = 2 and N = 3, turns out to be a focus. We give a complete
characterization of the critical behavior controlled by this fixed point, also
evaluating the subleading crossover exponents. The spiral-like approach of the
chiral fixed point is argued to give rise to unusual crossover and
near-critical regimes that may imitate varying critical exponents seen in
numerous physical and computer experiments.Comment: 17 pages, 12 figure
The Glueball Spectrum from a Potential Model
The spectrum of two-gluon glueballs below 3 GeV is investigated in a
potential model with dynamical gluon mass using variational method. The short
distance potential is approximated by one-gluon exchange, while the long
distance part is taken as a breakable string. The mass and size of the radial
as well as orbital excitations up to principle quantum number n=3 are
evaluated. The predicted mass ratios are compared with experimental and lattice
results.Comment: Revtex, 6 pages with 1 eps figur
Ab Initio Calculation of Relativistic Corrections to the Static Interquark potential I: SU(2) Gauge Theory
We test the capability of state-of-the-art lattice techniques for a precise
determination of relativistic corrections to the static interquark potential,
by use of SU(2) gauge theory. Emphasis is put on the short range structure of
the spin dependent potentials, with lattice resolution a ranging from a approx
0.04 fm (at beta=2.74) down to a approx 0.02 fm (at beta=2.96) on volumes of
32^4 and 48^4 lattice sites. We find a new short range Coulomb-like
contribution to the spin-orbit potential V_1'.Comment: 37 pages REVTeX with 20 encapsuled ps figure
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