2,662 research outputs found
Structure Constant of the Yang-Lee Edge Singularity
This paper studies the Yang-Lee singularity of the 2-dimensional Ising model
on the cylinder via transfer matrix and finite-size scaling techniques. These
techniques enable a measurement of the 2-point and 3-point correlations and a
comparison of a measurement of a corresponding universal amplitude with a
prediction for the amplitude from the (A4,A1) minimal conformal field theory.Comment: 1 figur
Monte Carlo simulation of boson lattices
Boson lattices are theoretically well described by the Hubbard model. The
basic model and its variants can be effectively simulated using Monte Carlo
techniques. We describe two newly developed approaches, the Stochastic Series
Expansion (SSE) with directed loop updates and continuous--time Diffusion Monte
Carlo (CTDMC). SSE is a formulation of the finite temperature partition
function as a stochastic sampling over product terms. Directed loops is a
general framework to implement this stochastic sampling in a non--local fashion
while maintaining detailed balance. CTDMC is well suited to finding exact
ground--state properties, applicable to any lattice model not suffering from
the sign problem; for a lattice model the evolution of the wave function can be
performed in continuous time without any time discretization error. Both the
directed loop algorithm and the CTDMC are important recent advances in
development of computational methods. Here we present results for a Hubbard
model for anti--ferromagnetic spin--1 bosons in one dimensions, and show
evidence for a dimerized ground state in the lowest Mott lobe.Comment: 3 pages, 5 figur
Universal Dynamics of Independent Critical Relaxation Modes
Scaling behavior is studied of several dominant eigenvalues of spectra of
Markov matrices and the associated correlation times governing critical slowing
down in models in the universality class of the two-dimensional Ising model. A
scheme is developed to optimize variational approximants of progressively
rapid, independent relaxation modes. These approximants are used to reduce the
variance of results obtained by means of an adaptation of a quantum Monte Carlo
method to compute eigenvalues subject to errors predominantly of statistical
nature. The resulting spectra and correlation times are found to be universal
up to a single, non-universal time scale for each model
Monte Carlo computation of correlation times of independent relaxation modes at criticality
We investigate aspects of universality of Glauber critical dynamics in two
dimensions. We compute the critical exponent and numerically corroborate
its universality for three different models in the static Ising universality
class and for five independent relaxation modes. We also present evidence for
universality of amplitude ratios, which shows that, as far as dynamic behavior
is concerned, each model in a given universality class is characterized by a
single non-universal metric factor which determines the overall time scale.
This paper also discusses in detail the variational and projection methods that
are used to compute relaxation times with high accuracy
Excitation Spectrum at the Yang-Lee Edge Singularity of 2D Ising Model on the Strip
At the Yang-Lee edge singularity, finite-size scaling behavior is used to
measure the low-lying excitation spectrum of the Ising quantum spin chain for
free boundary conditions. The measured spectrum is used to identify the CFT
that describes the Yang-Lee edge singularity of the 2D Ising model for free
boundary conditions.Comment: 7 pages, 1 figur
Assessing satellite-derived land product quality for earth system science applications: results from the ceos lpv sub-group
The value of satellite derived land products for science applications and research is dependent upon the known accuracy of the data. CEOS (Committee on Earth Observation Satellites), the space arm of the Group on Earth Observations (GEO), plays a key role in coordinating the land product validation process. The Land Product Validation (LPV) sub-group of the CEOS Working Group on Calibration and Validation (WGCV) aims to address the challenges associated with the validation of global land products. This paper provides an overview of LPV sub-group focus area activities, which cover seven terrestrial Essential Climate Variables (ECVs). The contribution will enhance coordination of the scientific needs of the Earth system communities with global LPV activities
Specific heat of the simple-cubic Ising model
We provide an expression quantitatively describing the specific heat of the
Ising model on the simple-cubic lattice in the critical region. This expression
is based on finite-size scaling of numerical results obtained by means of a
Monte Carlo method. It agrees satisfactorily with series expansions and with a
set of experimental results. Our results include a determination of the
universal amplitude ratio of the specific-heat divergences at both sides of the
critical point.Comment: 20 pages, 3 figure
Critical Excitation Spectrum of Quantum Chain With A Local 3-Spin Coupling
This article reports a measurement of the low-energy excitation spectrum
along the critical line for a quantum spin chain having a local interaction
between three Ising spins and longitudinal and transverse magnetic fields. The
measured excitation spectrum agrees with that predicted by the (D, A)
conformal minimal model under a nontrivial correspondence between translations
at the critical line and discrete lattice translations. Under this
correspondence, the measurements confirm a prediction that the critical line of
this quantum spin chain and the critical point of the 2D 3-state Potts model
are in the same universality class.Comment: 7 pages, 2 figure
Enterprise Strategic Analysis and Transformation ESAT
Organizations operate today in a heightened competitive environment in which change is the only certainty. The adage of when in doubt restructure brought about by reengineering, and the turbulence of mergers, acquisitions, and divestitures, has resulted in organizations with often impenetrable functional silos. The challenges bought forth by globalization, schedule compression, cost constraints, time to market pressures, capability differentials in the supplier base, growing shortages of human capital and pressures from stockholders, requires organizations to take a more holistic approach to transformation. The Enterprise Strategic Analysis and Transformation (ESAT) methodology provides a means for the senior leadership team to understand their enterprise, create an actionable vision for the future, plan the transformation and govern the execution
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