From kinetic theory to dissipative fluid dynamics

We present the results of deriving the Israel-Stewart equations of relativistic dissipative fluid dynamics from kinetic theory via Grad's 14-moment expansion. Working consistently to second order in the Knudsen number, these equations contain several new terms which are absent in previous treatments.Comment: 7 pages, proceedings of the Erice School on Nuclear Physics "Heavy Ion collisions from the Coulomb Barrier up to the Quark Gluon Plasma", Erice, Sicily, Sep. 16 - 24, 200

Polarization probes of vorticity in heavy ion collisions

We discuss the information that can be deduced from a measurement of particle (hyperon or vector meson) polarization in ultrarelativistic nuclear collisions. We describe the sensitivity of polarization to initial conditions, hydrodynamic evolution and mean free path, and find that the polarization observable is sensitive to all details and stages of the system's evolution. We suggest that an experimental investigation covering production plane and reaction plane polarizations, as well as the polarization of jet-associated particles in the plane defined by the jet and particle direction, can help in disentangling the factors contributing to this observable. Scans of polarization in energy and rapidity might also point to a change in the system's properties.Comment: In press, Phys.Rev.C. One new figure, text streamlined and edited, physics conclusions and reasoning not change

Relativistic Viscous Hydrodynamics for Multi-Component Systems with Multiple Conserved Currents

We would like to formulate relativistic dissipative hydrodynamics for multi-component systems with multiple conserved currents. This is important for analyses of the hot matter created in relativistic heavy ion collisions because particle creations and annihilations of various particle species are frequently taking place there. We show that consistent formulation in such systems involves many non-trivialities, and derive constitutive equations that satisfy Onsager reciprocal relations and describe the systems without ambiguity.Comment: 4 pages, no figures - To appear in the conference proceedings for Hot Quarks 2010, June 21-26, La Londe-les-Maures, Franc

DAIRY FARMERS' USE OF FINANCIAL LONG-RANGE PLANNING (FINLRB) TO AID DECISION-MAKING

Agricultural Finance, Livestock Production/Industries,

Late Planting Decisions with Crop Insurance: Decision Guidelines for Michigan Farmers in Spring 2011

Michigan has had unusually wet planting conditions in 2011, leading to substantial acreage that has not been planted at this late date. Farmers who purchased crop insurance have many options available to them. This paper addresses the major crop insurance decisions that farmers will face during the next 30 days.crop insurance, prevented planting, risk management, farm management, corn returns, soybean returns, Agricultural and Food Policy, Crop Production/Industries, Farm Management, Risk and Uncertainty,

SWINE FARM BUSINESS ANALYSIS WORKBOOK

Swine Analysis Workbook Goal: For a one-year period, develop an accrual adjusted income statement.Livestock Production/Industries,