Ultrafast dynamics of finite Hubbard clusters - a stochastic mean-field approach

Finite lattice models are a prototype for strongly correlated quantum systems and capture essential properties of condensed matter systems. With the dramatic progress in ultracold atoms in optical lattices, finite fermionic Hubbard systems have become directly accessible in experiments, including their ultrafast dynamics far from equilibrium. Here, we present a theoretical approach that is able to treat these dynamics in any dimension and fully includes inhomogeneity effects. The method consists in stochastic sampling of mean-field trajectories and is found to be more accurate and efficient than current nonequilibrium Green functions approaches. This is demonstrated for Hubbard clusters with up to 512 particles in one, two and three dimensions

Developing a multi-metric habitat index for wadeable streams in Illinois (T-25-P-001), annual segment report to the Illinois Department of Natural Resources.

USFWS through IDNR State Wildlife Grant Grant/Contract No: T-25-P-001INHS Technical Report Prepared for USFWS through IDNR State Wildlife Gran

Paul\u27s Treatment of Error in Galatians

The purpose of the present writer in this thesis has been to determine just how Paul went about treating and refuting the error. What were his arguments and attitudes over against his converts? His opponents? The error itself? Were his arguments sound and convincing? Does he leave room for compromise? To what degree does he allow his own self to enter the picture? In attempting to answer these questions, the writer has endeavored at all times to maintain objectivity except where a difference of opinion among leading commentators forced him to exercise selectivity. Detailed exegesis has been kept to a minimum and has been employed only where it was helpful in understanding the particular point Paul was making

Developing a multi-metric habitat index for wadeable streams in Illinois (T-25-P-001). Annual Segment Report to the Illinois Department of Natural Resources.

Illinois Department of Natural Resources Grant/Contract No: (T-25-P-001)This project was initiated to describe key aquatic habitat characteristics and their association to anthropogenic disturbance by developing a field based, rapid assessment method for qualitatively monitoring instream conditions using a multi-metric habitat index. We have developed and applied a method for rating disturbance in wadeable streams throughout Illinois and collected information on physical habitat at 299 sites to date. Index development is in the preliminary stages with field work to continue during the summer of 2008. This report summarizes work performed for the period ending April 30, 2008 (Appendix A contains Eastern Illinois University subcontract annual report).INHS Technical Report Prepared for Illinois Department of Natural Resource

From non-symmetric particle systems to non-linear PDEs on fractals

We present new results and challenges in obtaining hydrodynamic limits for non-symmetric (weakly asymmetric) particle systems (exclusion processes on pre-fractal graphs) converging to a non-linear heat equation. We discuss a joint density-current law of large numbers and a corresponding large deviations principle.Comment: v2: 10 pages, 1 figure. To appear in the proceedings for the 2016 conference "Stochastic Partial Differential Equations & Related Fields" in honor of Michael R\"ockner's 60th birthday, Bielefel

The IκB kinase complex in NF-κB regulation and beyond

The I{kappa}B kinase (IKK) complex is the signal integration hub for NF-{kappa}B activation. Composed of two serine-threonine kinases (IKK{alpha} and IKK{beta}) and the regulatory subunit NEMO (also known as IKK{gamma}), the IKK complex integrates signals from all NF-{kappa}B activating stimuli to catalyze the phosphorylation of various I{kappa}B and NF-{kappa}B proteins, as well as of other substrates. Since the discovery of the IKK complex components about 15 years ago, tremendous progress has been made in the understanding of the IKK architecture and its integration into signaling networks. In addition to the control of NF-{kappa}B, IKK subunits mediate the crosstalk with other pathways, thereby extending the complexity of their biological function. This review summarizes recent advances in IKK biology and focuses on emerging aspects of IKK structure, regulation and function

Sensitivity of point scale runoff predictions to rainfall resolution

International audienceThis paper investigates the effects of using non-linear, high resolution rainfall, compared to time averaged rainfall on the triggering of hydrologic thresholds and therefore model predictions of infiltration excess and saturation excess runoff. The bounded random cascade model, parameterized to south western Australian rainfall, was used to scale rainfall intensities at various time resolutions ranging from 1.875 min to 2 h. A one dimensional, conceptual rainfall partitioning model was used that instantaneously partitions water into infiltration excess, infiltration, storage, deep drainage, saturation excess and surface runoff, where the fluxes into and out of the soil store are controlled by thresholds. For example, saturation excess is triggered when the soil water content reaches the storage capacity threshold. The results of the numerical modelling were scaled by relating soil infiltration properties to soil draining properties, and inturn, relating these to average storm intensities. By relating maximum soil infiltration capacities to saturated drainage rates (f*), we were able to split soils into two groups; those where all runoff is a result of infiltration excess alone (f*?0.2) and those susceptible to both infiltration excess and saturation excess runoff (f*>0.2). For all soil types, we related maximum infiltration capacities to average storm intensities (k*) and were able to show where model predictions of infiltration excess were most sensitive to rainfall resolution (ln k=0.4) and where using time averaged rainfall data can lead to an under prediction of infiltration excess and an over prediction of the amount of water entering the soil (ln k*>2). For soils susceptible to both infiltration excess and saturation excess, total runoff sensitivity was scaled by relating saturated drainage rates to average storm intensities (g*) and parameter ranges where predicted runoff was dominated by infiltration excess or saturation excess depending on the resolution of rainfall data was determined (ln g*<2). Infiltration excess predicted from high resolution rainfall is short and intense, whereas saturation excess produced from low resolution rainfall is more constant and less intense. This has important implications for the accuracy of current hydrological models that use time averaged rainfall under these soil and rainfall conditions and predictions of further thresholds such as erosion. It offers insight into areas where the understanding of the dynamics of high resolution rainfall is required and a means by which we can improve our understanding of the way variations in rainfall intensities within a storm relate to hydrological thresholds and model predictions

Monitoring and Assessment of Aquatic Life in the Kaskaskia River for evaluating IDNR Private Lands Programs: Annual Report 2015

Summer thermal characteristics were monitored at 81 locations in the basin (Figure 3) during the three years of this study. Mean daily summer temperature ranged from 18.9oCto 27.2oC with a mean of 23.5oC. Water quality parameters were measuredduring152site visits in summer and 60 site visits infall between 2013 and 2015. Mean values for these parameters were similar in summer and fall (Table 2) and are characteristic of Midwestern watersheds with high densities of agricultural land use. Fish were collected during123sampling events between 2013 and 2015.Mean standardized abundance (number of individuals per 100m of sampled stream) was 323.3 and mean standardized species richness (number of species per 100m of sampled stream) was 11.8. Index of Biotic Integrity(Smogor 2000)scores calculated from sampled fish assemblages had a range of13 (very low) to 55(moderate) and a mean of 36.3(indicating an average condition within the moderately low category; Table 3).The seven overall most abundant fish species in wadeable streams of the Kaskaskia River watershed were all minnows, but that pattern varies by subwatershed (Table 4). Green sunfish is the most frequently collected species in the watershed and in three of the four subwatersheds; however, frequency of occurrence patterns vary across the subwatersheds amongst the remaining species(Table 5).QHEI scores (OEPA 2006) for the watershed range between 21 (impaired) and 77.5 (excellent) with a mean of 51.8 (moderate, Table 6). IHI scores (Sass et al. 2011) for the watershed range between5 and 24 (which are the minimum and maximum scores possible) with a mean of 18.3, which is near the middle of the index gradient (Table 7).Work conducted during this reporting period was performed primarily by one FTE research scientist aided by the Principle Investigators, two graduate students and three hourly workers. A total of eleven hourly workers (mainly undergraduate students) have assisted staff during the three years of study.IDNR Office of Resource Conservationunpublishednot peer reviewedOpe