3,249 research outputs found
Energy Landscape Statistics of the Random Orthogonal Model
The Random Orthogonal Model (ROM) of Marinari-Parisi-Ritort [MPR1,MPR2] is a
model of statistical mechanics where the couplings among the spins are defined
by a matrix chosen randomly within the orthogonal ensemble. It reproduces the
most relevant properties of the Parisi solution of the Sherrington-Kirckpatrick
model. Here we compute the energy distribution, and work out an extimate for
the two-point correlation function. Moreover, we show exponential increase of
the number of metastable states also for non zero magnetic field.Comment: 23 pages, 6 figures, submitted to J. Phys.
Statistics of energy levels and zero temperature dynamics for deterministic spin models with glassy behaviour
We consider the zero-temperature dynamics for the infinite-range, non
translation invariant one-dimensional spin model introduced by Marinari, Parisi
and Ritort to generate glassy behaviour out of a deterministic interaction. It
is shown that there can be a large number of metatastable (i.e., one-flip
stable) states with very small overlap with the ground state but very close in
energy to it, and that their total number increases exponentially with the size
of the system.Comment: 25 pages, 8 figure
Thermodynamical Limit for Correlated Gaussian Random Energy Models
Let \{E_{\s}(N)\}_{\s\in\Sigma_N} be a family of centered
unit Gaussian random variables defined by the covariance matrix of
elements \displaystyle c_N(\s,\tau):=\av{E_{\s}(N)E_{\tau}(N)}, and H_N(\s)
= - \sqrt{N} E_{\s}(N) the corresponding random Hamiltonian. Then the quenched
thermodynamical limit exists if, for every decomposition , and all
pairs (\s,\t)\in \Sigma_N\times \Sigma_N: c_N(\s,\tau)\leq \frac{N_1}{N}
c_{N_1}(\pi_1(\s),\pi_1(\tau))+ \frac{N_2}{N} c_{N_2}(\pi_2(\s),\pi_2(\tau))
where \pi_k(\s), k=1,2 are the projections of \s\in\Sigma_N into
. The condition is explicitly verified for the
Sherrington-Kirckpatrick, the even -spin, the Derrida REM and the
Derrida-Gardner GREM models.Comment: 15 pages, few remarks and two references added. To appear in Commun.
Math. Phy
Autonomous low-cost ozone sensors: development, calibration, and application to study exposure and spatial gradients
2022 Spring.Includes bibliographical references.Ozone (O3), a criteria pollutant and atmospheric oxidant, is not routinely measured in rural and remote environments and hence exposure to ozone pollution in these regions remains poorly understood. In this work, we built, calibrated, and deployed five low-cost, autonomous ozone sensor systems (called MOOS) in Northern Colorado, a region that is non-compliant for O3 during the summertime. Each MOOS included the following components: (i) an Aeroqual SM50, a heated metal oxide ozone sensor, mounted inside a custom radiation shield, (ii) a power system that consisted of a 30 W solar panel, 108 Wh lithium-ion battery, and charge controller, (iii) a Particle Boron to acquire, process, and transmit data to the Cloud, and (iv) an environmental sensor to measure temperature, relative humidity, and pressure. In a three-week long collocated study, we found that all MOOS, calibrated using 48 hours of reference data, compared well against reference monitors with a measurement error between 4-6 parts per billion by volume (ppbv). Manufacturer- and laboratory-based calibrations over- and under-estimated ozone levels at higher and lower ozone mixing ratios, respectively. When deployed in Northern Colorado for an additional three weeks to measure O3 exposure and study O3 trends across an urban-rural gradient, we found that the MOOS, calibrated using data from the collocated study and calibrated using 48 hours of reference data in the field, demonstrated good sensor performance (RMSE of 3.98 - 8.80 ppbv and MBE of 0.22 - 3.82 ppbv). Compared to the collocated study, the field study resulted in larger measurement errors for all five MOOS (RMSE of 3.66 - 4.00 versus RMSE of 3.98 - 8.80). Furthermore, there was modest variability in the field performance across the different MOOS (RMSE < 5 ppbv) that could not be explained by environmental differences between the different sites (e.g., proximity of the MOOS to the reference monitor, land use type, temperature). We found that MOOS were able to capture 100% of non-compliant O3 days during the collocated study and between 25-87% of non-compliant O3 days during the field study depending on the calibration approach used. Furthermore, both reference monitors and MOOS deployed along the east-west corridor in Northern Colorado were able to capture the negative, west-east O3 gradients observed in previous aircraft and modeling studies. Overall, our study indicates that the MOOS shows promise as a low-cost O3 sensor that could be used to supplement routine ambient monitoring and characterize regional ozone pollution
Using Strengths-Based Leadership to Improve the Child Welfare System
The child welfare system has primarily focused on the safety of children even though the goals of the system are to improve safety, well-being, and permanency. Through an innovative use of strengths-based leadership and the restructuring of service delivery, the Neighborhoods for Kids program has demonstrated how to effectively achieve all three goals for children in the child welfare system. The unique infusion of strengths-based leadership into the child welfare system allowed staff to creatively meet the outcomes without any additional funding needed. The goal was to strengthen the leadership in East Region and increase staff engagement, which would in turn lead to improved performance as a child welfare system. By including staff in the process of developing a new model of child welfare service delivery, Neighborhoods for Kids meets or exceeds many State and Federal outcomes for child welfare services
Mechanisms producing fissionlike binary fragments in heavy collisions
The mixing of the quasifission component to the fissionlike cross section
causes ambiguity in the quantitative estimation of the complete fusion cross
section from the observed angular and mass distributions of the binary
products. We show that the partial cross section of quasifission component of
binary fragments covers the whole range of the angular momentum values leading
to capture. The calculated angular momentum distributions for the compound
nucleus and dinuclear system going to quasifission may overlap: competition
between complete fusion and quasifission takes place at all values of initial
orbital angular momentum. Quasifission components formed at large angular
momentum of the dinuclear system can show isotropic angular distribution and
their mass distribution can be in mass symmetric region similar to the
characteristics of fusion-fission components. As result the unintentional
inclusion of the quasifission contribution into the fusion-fission fragment
yields can lead to overestimation of the probability of the compound nucleus
formation.Comment: 15 pages, 6 figures, International Conference on Nuclear Reactions on
Nucleons and Nuclei, Messina, Italy, October 5-9, 200
Glassy dynamics, metastability limit and crystal growth in a lattice spin model
We introduce a lattice spin model where frustration is due to multibody
interactions rather than quenched disorder in the Hamiltonian. The system has a
crystalline ground state and below the melting temperature displays a dynamic
behaviour typical of fragile glasses. However, the supercooled phase loses
stability at an effective spinodal temperature, and thanks to this the Kauzmann
paradox is resolved. Below the spinodal the system enters an off-equilibrium
regime corresponding to fast crystal nucleation followed by slow activated
crystal growth. In this phase and in a time region which is longer the lower
the temperature we observe a violation of the fluctuation-dissipation theorem
analogous to structural glasses. Moreover, we show that in this system there is
no qualitative difference between a locally stable glassy configuration and a
highly disordered polycrystal
- …