Exact Strongly Coupled Fixed Point in gφ4g\varphi^4 Theory

We show explicitly how a strongly coupled fixed point can be constructed in scalar $g\varphi^4$ theory from the solutions to a non-linear eigenvalue problem. The fixed point exists only for $d< 4$, is unstable and characterized by $\nu=2/d$ (correlation length exponent), $\eta=1/2-d/8$ (anomalous dimension). For $d=2$, these exponents reproduce to those of the Ising model which can be understood from the codimension of the critical point. At this fixed point, $\varphi^{2i}$ terms with $i>2$ are all irrelevant. The testable prediction of this fixed point is that the specific heat exponent vanishes. 2d critical Mott systems are well described by this new fixed point.Comment: revised version of previous paper with a proof of the irrelevance of \varphi^6 and higher terms at fixed poin

English and Norwegian Military Legislation in the 13th century - The Assize of Arms and Norwegian Military Law

Historie mastergradsoppgaveHIS350MAHF-LÆHRMAHF-HI

Motion of a lumped-mass model representing a kilometer wave orbiting telescope

Numerical analysis of planar motion of dynamic model representing kilometer wave orbiting telescope to investigate feasibility of concep

Electropneumatic linear gimbal actuation system, model nv-bi, 29 june 1963 - 29 june 1964

Electropneumatic linear actuator for thrust vector control on J- 2 rocket engin

Physical controls on orographic cirrus inhomogeneity

Optical depth distributions (P(σ)) are a useful measure of radiatively important cirrus (Ci) inhomogeneity. Yet, the relationship between P(σ) and underlying cloud physical processes remains unclear. In this study, we investigate the influence of homogeneous and heterogeneous freezing processes, ice particle growth and fallout, and mesoscale vertical velocity fluctuations on P(σ) shape during an orographic Ci event. We evaluate Lagrangian Ci evolution along kinematic trajectories from a mesoscale weather model (MM5) using an adiabatic parcel model with binned ice microphysics. Although the presence of ice nuclei increased model cloud cover, our results highlight the importance of homogeneous freezing and mesoscale vertical velocity variability in controlling Ci P(σ) shape along realistic upper tropospheric trajectories

Modification of aerosol mass and size distribution due to aqueous‐phase SO 2 oxidation in clouds: Comparisons of several models

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/94761/1/jgrd10053.pd

Breakdown of self-averaging in the Bose glass

We study the square-lattice Bose-Hubbard model with bounded random on-site energies at zero temperature. Starting from a dual representation obtained from a strong-coupling expansion around the atomic limit, we employ a real-space block decimation scheme. This approach is non-perturbative in the disorder and enables us to study the renormalization-group flow of the induced random-mass distribution. In both insulating phases, the Mott insulator and the Bose glass, the average mass diverges, signaling short range superfluid correlations. The relative variance of the mass distribution distinguishes the two phases, renormalizing to zero in the Mott insulator and diverging in the Bose glass. Negative mass values in the tail of the distribution indicate the presence of rare superfluid regions in the Bose glass. The breakdown of self-averaging is evidenced by the divergent relative variance and increasingly non-Gaussian distributions. We determine an explicit phase boundary between the Mott insulator and Bose glass.Comment: 5 pages + references, 5 figure

Triaqua­(1,4,7-triaza­cyclo­nonane-κ3 N 1,N 4,N 7)nickel(II) bromide nitrate

In the title half-sandwich compound, [Ni(C6H15N3)(H2O)3]Br(NO3), the central NiII ion, lying on a threefold rotation axis, is six-coordinated by three amine N atoms from the face-capping triaza macrocycle and three water O atoms in a slightly distorted octa­hedral geometry. In the crystal, O—H⋯O hydrogen bonding and weak O—H⋯Br inter­actions associate the NiII cations and the counter-ions into a three-dimensional supra­molecular network