30,417 research outputs found
First Class Constrained Systems and Twisting of Courant Algebroids by a Closed 4-form
We show that in analogy to the introduction of Poisson structures twisted by
a closed 3-form by Park and Klimcik-Strobl, the study of three dimensional
sigma models with Wess-Zumino term leads in a likewise way to twisting of
Courant algebroid structures by closed 4-forms H.
The presentation is kept pedagogical and accessible to physicists as well as
to mathematicians, explaining in detail in particular the interplay of field
transformations in a sigma model with the type of geometrical structures
induced on a target. In fact, as we also show, even if one does not know the
mathematical concept of a Courant algebroid, the study of a rather general
class of 3-dimensional sigma models leads one to that notion by itself.
Courant algebroids became of relevance for mathematical physics lately from
several perspectives - like for example by means of using generalized complex
structures in String Theory. One may expect that their twisting by the
curvature H of some 3-form Ramond-Ramond gauge field will become of relevance
as well.Comment: 25 pages, invited contribution to the Wolfgang Kummer memorial volum
Negative thermal expansion in ZnF
We have investigated temperature dependence of the lattice parameters and the
unit cell volume of ZnF by neutron diffraction and have discovered negative
thermal expansion (NTE) at low temperature. To understand why this simple
compound exhibits NTE we performed first principle calculations. These
calculations reproduce qualitatively the experimental temperature dependence of
volume
How secret interactions can reconcile sterile neutrinos with cosmology
Short baseline neutrino oscillation experiments have shown hints of the
existence of additional sterile neutrinos in the eV mass range. However, such
neutrinos seem incompatible with cosmology because they have too large an
impact on cosmic structure formation. Here we show that new interactions in the
sterile neutrino sector can prevent their production in the early Universe and
reconcile short baseline oscillation experiments with cosmology.Comment: 4 pages, 5 figures, prepared for submission to PR
ORGANIC FARMS AS REFUGES FOR SMALL MAMMAL BIODIVERSITY
Habitat fragmentation, the process by which relatively continuous habitats is broken into smaller pieces, occurs in natural systems but is to a high degree also human-
induced through landscape use. Fragmentation of the landscape produces a series of habitat patches surrounded by a matrix of different habitats and/or land use regimes. The major landscape consequences of fragmentation are loss of habitat, reduction in habitat patch size, and increasing isolation of habitat patches. In general, population performance declines in response to habitat loss but size of remaining area and isolation effects is known also to influence the population trend. Small mammals are well suited for examination of population responses to habitat fragmentation as they have modest spatial requirements and short generation times. In theory, organic farms could play an important role in the agricultural landscape as refuges for some small mammal species, as the lack of pesticide and fertiliser treatment, less weed control, more diversified crop structure and a general environmentalfriendly attitude, form a basis for habitats that provide cover and food for small mammals, and thus for larger predators of these species. Furthermore, density and area of small biotopes could be expected to be higher in the organic farms, thus leading to a decreased distance between optimal habitats
Certainty equivalence and model uncertainty
Simon’s and Theil’s certainty equivalence property justifies a convenient algorithm for solving dynamic programming problems with quadratic objectives and linear transition laws: first, optimize under perfect foresight, then substitute optimal forecasts for unknown future values. A similar decomposition into separate optimization and forecasting steps prevails when a decision maker wants a decision rule that is robust to model misspecification. Concerns about model misspecification leave the first step of the algorithm intact and affect only the second step of forecasting the future. The decision maker attains robustness by making forecasts with a distorted model that twists probabilities relative to his approximating model. The appropriate twisting emerges from a two-player zero-sum dynamic game.
Enhanced Diffusion of a Needle in a Planar Course of Point Obstacles
The transport of an infinitely thin, hard rod in a random, dense array of
point obstacles is investigated by molecular dynamics simulations. Our model
mimics the sterically hindered dynamics in dense needle liquids. The
center-of-mass diffusion exhibits a minimum, and transport becomes increasingly
fast at higher densities. The diffusion coefficient diverges according to a
power law in the density with an approximate exponent of 0.8. This observation
is connected with a new divergent time scale, reflected in a zig-zag motion of
the needle, a two-step decay of the velocity-autocorrelation function, and a
negative plateau in the non-Gaussian parameter.Comment: accepted for publication in Phys. Rev. Let
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