123 research outputs found
Three dimensional four-fermion models - A Monte Carlo study
We present results from numerical simulations of three different 3d
four-fermion models that exhibit Z_2, U(1), and SU(2) x SU(2) chiral
symmetries, respectively. We performed the simulations by using the hybrid
Monte Carlo algorithm. We employed finite size scaling methods on lattices
ranging from 8^3 to 40^3 to study the properties of the second order chiral
phase transition in each model. The corresponding critical coupling defines an
ultraviolet fixed point of the renormalization group. In our high precision
simulations, we detected next-to-leading order corrections for various critical
exponents and we found them to be in good agreement with existing analytical
large-N_f calculations.Comment: 15 pages, 7 figures, and 2 table
Broadening of a nonequilibrium phase transition by extended structural defects
We study the effects of quenched extended impurities on nonequilibrium phase
transitions in the directed percolation universality class. We show that these
impurities have a dramatic effect: they completely destroy the sharp phase
transition by smearing. This is caused by rare strongly coupled spatial regions
which can undergo the phase transition independently from the bulk system. We
use extremal statistics to determine the stationary state as well as the
dynamics in the tail of the smeared transition, and we illustrate the results
by computer simulations.Comment: 4 pages, 4 eps figures, final version as publishe
A Cluster Method for the Ashkin--Teller Model
A cluster Monte Carlo algorithm for the Ashkin-Teller (AT) model is
constructed according to the guidelines of a general scheme for such
algorithms. Its dynamical behaviour is tested for the square lattice AT model.
We perform simulations on the line of critical points along which the exponents
vary continuously, and find that critical slowing down is significantly
reduced. We find continuous variation of the dynamical exponent along the
line, following the variation of the ratio , in a manner which
satisfies the Li-Sokal bound , that was so far
proved only for Potts models.Comment: 18 pages, Revtex, figures include
Spherical Model in a Random Field
We investigate the properties of the Gibbs states and thermodynamic
observables of the spherical model in a random field. We show that on the
low-temperature critical line the magnetization of the model is not a
self-averaging observable, but it self-averages conditionally. We also show
that an arbitrarily weak homogeneous boundary field dominates over fluctuations
of the random field once the model transits into a ferromagnetic phase. As a
result, a homogeneous boundary field restores the conventional self-averaging
of thermodynamic observables, like the magnetization and the susceptibility. We
also investigate the effective field created at the sites of the lattice by the
random field, and show that at the critical temperature of the spherical model
the effective field undergoes a transition into a phase with long-range
correlations .Comment: 29 page
Scaling and nonscaling finite-size effects in the Gaussian and the mean spherical model with free boundary conditions
We calculate finite-size effects of the Gaussian model in a L\times \tilde
L^{d-1} box geometry with free boundary conditions in one direction and
periodic boundary conditions in d-1 directions for 2<d<4. We also consider film
geometry (\tilde L \to \infty). Finite-size scaling is found to be valid for
d3 but logarithmic deviations from finite-size scaling are found for
the free energy and energy density at the Gaussian upper borderline dimension
d* =3. The logarithms are related to the vanishing critical exponent
1-\alpha-\nu=(d-3)/2 of the Gaussian surface energy density. The latter has a
cusp-like singularity in d>3 dimensions. We show that these properties are the
origin of nonscaling finite-size effects in the mean spherical model with free
boundary conditions in d>=3 dimensions. At bulk T_c in d=3 dimensions we find
an unexpected non-logarithmic violation of finite-size scaling for the
susceptibility \chi \sim L^3 of the mean spherical model in film geometry
whereas only a logarithmic deviation \chi\sim L^2 \ln L exists for box
geometry. The result for film geometry is explained by the existence of the
lower borderline dimension d_l = 3, as implied by the Mermin-Wagner theorem,
that coincides with the Gaussian upper borderline dimension d*=3. For 3<d<4 we
find a power-law violation of scaling \chi \sim L^{d-1} at bulk T_c for box
geometry and a nonscaling temperature dependence \chi_{surface} \sim \xi^d of
the surface susceptibility above T_c. For 2<d<3 dimensions we show the validity
of universal finite-size scaling for the susceptibility of the mean spherical
model with free boundary conditions for both box and film geometry and
calculate the corresponding universal scaling functions for T>=T_c.Comment: Submitted to Physical Review
Order-Disorder Transition in a Two-Layer Quantum Antiferromagnet
We have studied the antiferromagnetic order -- disorder transition occurring
at in a 2-layer quantum Heisenberg antiferromagnet as the inter-plane
coupling is increased. Quantum Monte Carlo results for the staggered structure
factor in combination with finite-size scaling theory give the critical ratio
between the inter-plane and in-plane coupling constants.
The critical behavior is consistent with the 3D classical Heisenberg
universality class. Results for the uniform magnetic susceptibility and the
correlation length at finite temperature are compared with recent predictions
for the 2+1-dimensional nonlinear -model. The susceptibility is found
to exhibit quantum critical behavior at temperatures significantly higher than
the correlation length.Comment: 11 pages (5 postscript figures available upon request), Revtex 3.
Search for Kosterlitz-Thouless transition in a triangular Ising antiferromagnet with further-neighbour ferromagnetic interactions
We investigate an antiferromagnetic triangular Ising model with anisotropic
ferromagnetic interactions between next-nearest neighbours, originally proposed
by Kitatani and Oguchi (J. Phys. Soc. Japan {\bf 57}, 1344 (1988)). The phase
diagram as a function of temperature and the ratio between first- and second-
neighbour interaction strengths is thoroughly examined. We search for a
Kosterlitz-Thouless transition to a state with algebraic decay of correlations,
calculating the correlation lengths on strips of width up to 15 sites by
transfer-matrix methods. Phenomenological renormalization, conformal invariance
arguments, the Roomany-Wyld approximation and a direct analysis of the scaled
mass gaps are used. Our results provide limited evidence that a
Kosterlitz-Thouless phase is present. Alternative scenarios are discussed.Comment: 10 pages, RevTeX 3; 11 Postscript figures (uuencoded); to appear in
Phys. Rev. E (1995
Tricritical Behavior of Two-Dimensional Scalar Field Theories
We compute by Monte Carlo numerical simulations the critical exponents of
two-dimensional scalar field theories at the tricritical point.
The results are in agreement with the Zamolodchikov conjecture based on
conformal invariance.Comment: 13 pages, uuencode tar-compressed Postscript file, preprint numbers:
IF/UFRJ/25/94, DFTUZ 94.06 and NYU--TH--94/10/0
Ising cubes with enhanced surface couplings
Using Monte Carlo techniques, Ising cubes with ferromagnetic nearest-neighbor
interactions and enhanced couplings between surface spins are studied. In
particular, at the surface transition, the corner magnetization shows
non-universal, coupling-dependent critical behavior in the thermodynamic limit.
Results on the critical exponent of the corner magnetization are compared to
previous findings on two-dimensional Ising models with three intersecting
defect lines.Comment: 4 pages, 2 figures included, submitted to Phys. Rev.
Cycling exercise classes may be bad for your (hearing) health
OBJECTIVES/HYPOTHESIS: 1) Determine feasibility of smartphone-based mobile technology to measure noise exposure; and 2) measure noise exposure in exercise spin classes. STUDY DESIGN: Observational Study. METHODS: The SoundMeter Pro app (Faber Acoustical, Salt Lake City, UT) was installed and calibrated on iPhone and iPod devices in an audiology chamber using an external sound level meter to within 2 dBA of accuracy. Recording devices were placed in the bike cupholders of participants attending spin classes in Boston, Massachusetts (n = 17) and used to measure sound level (A-weighted) and noise dosimetry during exercise according to National Institute for Occupational Safety and Health (NIOSH) guidelines. RESULTS: The average length of exposure was 48.9 ± 1.2 (standard error of the mean) minutes per class. Maximum sound recorded among 17 random classes was 116.7 dBA, which was below the NIOSH instantaneous exposure guideline of 140 dBA. An average of 31.6 ± 3.8 minutes were spent at >100 dBA. This exceeds NIOSH recommendations of 15 minutes of exposure or less at 100 dBA per day. Average noise exposure for one 45-minute class was 8.95 ± 1.2 times the recommended noise exposure dose for an 8-hour workday. CONCLUSIONS: Preliminary data shows that randomly sampled cycling classes may have high noise levels with a potential for noise-induced hearing loss. Mobile dosimetry technology may enable users to self-monitor risk to their hearing and actively engage in noise protection measures. LEVEL OF EVIDENCE: NA Laryngoscope, 127:1873-1877, 2017.Accepted manuscrip
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