Phase diagram of a dilute fermion gas with density imbalance

We map out the phase diagram of a dilute two-component atomic fermion gas with unequal populations and masses under a Feshbach resonance. As in the case of equal masses, no uniform phase is stable for an intermediate coupling regime. For majority component heavier, the unstable region moves towards the BEC side. When the coupling strength is increased from the normal phase, there is an increased parameter space where the transition is into the FFLO state. The converse is true if the majority is light.Comment: Proceeding for M$^2$S-HTSC VIII meeting, July 9-14 2006, Dresden; To appear in Physica

InPCM: a network caching technique for improving the performance of TCP in wireless ad-hoc networks

We propose a novel mechanism called In-Network Packet Caching Mechanism (inPCM) to address TCP\u27s poor performance in IEEE 802.11 based multi-hop wireless networks. In particular, we address TCP\u27s inappropriate response to bursty and location dependent errors. The key concept is the use of intermediate nodes to perform packet recovery on behalf of TCP senders, similar to the well-known Snoop TCP but adapted to work over multi-hop wireless networks. We have conducted ns-2 simulation studies over a variety of network conditions and topologies. Our results confirm InPCM\u27s benefits to TCP in terms of delay and throughput. Moreover, it is immediately deployable without modifications to current protocols

Wave climatology in the Apostle Islands, Lake Superior

The wave climate of the Apostle Islands in Lake Superior for 35 year (1979–2013) was hindcast and examined using a third‐generation spectral wave model. Wave measurements within the Apostle Islands and offshore NOAA buoys were used to validate the model. Statistics of the significant wave height, peak wave period, and mean wave direction were computed to reveal the spatial variability of wave properties within the archipelago for average and extreme events. Extreme value analysis was performed to estimate the significant wave height at the 1, 10, and 100 year return periods. Significant wave heights in the interior areas of the islands vary spatially but are approximately half those immediately offshore of the islands. Due to reduced winter ice cover and a clockwise shift in wind direction over the hindcast period, long‐term trend analysis indicates an increasing trend of significant wave heights statistics by as much as 2% per year, which is approximately an order of magnitude greater than similar analysis performed in the global ocean for areas unaffected by ice. Two scientific questions related to wave climate are addressed. First, the wave climate change due to the relative role of changing wind fields or ice covers over the past 35 years was revealed. Second, potential bluff erosion affected by the change of wave climate and the trend of lower water levels in the Apostle Islands, Lake Superior was examined.Key Points:Wave climate of the Apostle Islands in Lake Superior for 35 year was hindcastStatistics of the wave climate reveal the spatial variability of wave propertiesAn increasing trend of SWH is found due to climate changePeer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/113131/1/jgrc21305.pd

Exact partition functions of the Ising model on MxN planar lattices with periodic-aperiodic boundary conditions

The Grassmann path integral approach is used to calculate exact partition functions of the Ising model on MxN square (sq), plane triangular (pt) and honeycomb (hc) lattices with periodic-periodic (pp), periodic-antiperiodic (pa), antiperiodic-periodic (ap) and antiperiodic-antiperiodic (aa) boundary conditions. The partition functions are used to calculate and plot the specific heat, $C/k_B$, as a function of the temperature, $\theta =k_BT/J$. We find that for the NxN sq lattice, $C/k_B$ for pa and ap boundary conditions are different from those for aa boundary conditions, but for the NxN pt and hc lattices, $C/k_B$ for ap, pa, and aa boundary conditions have the same values. Our exact partition functions might also be useful for understanding the effects of lattice structures and boundary conditions on critical finite-size corrections of the Ising model.Comment: 17 pages, 13 Postscript figures, uses iopams.sty, submitted to J. Phys. A: Math. Ge

Exploring quantum phase transitions by the cross derivative of the ground state energy

In this work, the cross derivative of the Gibbs free energy, initially proposed for phase transitions in classical spin models [Phys. Rev. B 101, 165123 (2020)], is extended for quantum systems. We take the spin-1 XXZ chain with anisotropies as an example to demonstrate its effectiveness and convenience for the Gaussian-type quantum phase transitions therein. These higher-order transitions are very challenging to determine by conventional methods. From the cross derivative with respect to the two anisotropic strengths, a single valley structure is observed clearly in each system size. The finite-size extrapolation of the valley depth shows a perfect logarithmic divergence, signaling the onset of a phase transition. Meanwhile, the critical point and the critical exponent for the correlation length are obtained by a power-law fitting of the valley location in each size. The results are well consistent with the best estimations in the literature. Its application to other quantum systems with continuous phase transitions is also discussed briefly.Comment: 7 pages, 7 figure

Unveiling Significant Shoreline Changes in Lake Michigan After a Record-Setting Water Level Increase using High-Resolution Satellite Images

In this paper, high-resolution multispectral satellite images were used to uncover a remarkable shoreline transformation in Lake Michigan coastal areas, driven by a record-setting increase in the water level between 2013 and 2020. Shoreline change analyses were conducted for eleven different natural beaches around the lake, unveiling significant variations of shoreline retreat despite being affected by the same water level increase. The average observed shoreline retreats between 2013 and 2020 for the beaches ranged between 20 m and 62 m. When the passive inundation was excluded, the estimated morphological changes were found to differ significantly from site to site, with some locations experiencing minimal changes, while others encountered considerable morphological changes of up to 38m. The examination of the correlation between the morphological changes and ten hydrodynamic and morphological factors revealed strong correlations with the offshore slopes and beach width, with steeply sloping, wide beaches experiencing more erosion. Notably, wave power, longshore sediment transport divergence, and the number of storms exhibited moderate correlation with the observed morphological changes. The results of the shoreline changes and correlation analysis offer valuable insights into the varied effects of increased water levels on Lake Michigan beaches, including erosion and passive inundation, while shedding light on the key factors driving shoreline erosion in this context. These insights can help decision and policymakers in making informed choices regarding the protection and management of Lake Michigan coastal areas, particularly in anticipation of future incidents of water level increase

Interlayer pair tunneling and gap anisotropy in YBa2_2Cu3_3O7−δ_{7-\delta}

Recent ARPES measurement observed a large $ab$-axis gap anisotropy, $\Delta(0,\pi)/\Delta(\pi,0)=1.5$, in clean YBa$_2$Cu$_3$O$_{7-\delta}$. This indicates that some sub-dominant component may exist in the $d_{x^2-y^2}$-wave dominant gap. We propose that the interlayer pairing tunneling contribution can be determined through the investigation of the order parameter anisotropy. Their potentially observable features in transport and spin dynamics are also studied.Comment: 4 pages, 3 figure

Orbital occupation and magnetic moments of tetrahedrally coordinated iron in CaBaFe4O7

CaBaFe4O7 is a mixed-valent transition metal oxide having both Fe2+ and Fe3+ ions in tetrahedral coordination. Here we characterize its magnetic properties by magnetization measurements and investigate its local electronic structure using soft x-ray absorption spectroscopy at the Fe L2,3 edges, in combination with multiplet cluster and spin-resolved band structure calculations. We found that the Fe2+ ion in the unusual tetrahedral coordination is Jahn-Teller active with the high-spin e^2 (up) t2^3 (up) e^1 (down) configuration having a x^2-y^2-like electron for the minority spin. We deduce that there is an appreciable orbital moment of about L_z=0.36 caused by multiplet interactions, thereby explaining the observed magnetic anisotropy. CaBaFe4O7, a member of the '114' oxide family, offers new opportunities to explore charge, orbital and spin physics in transition metal oxides