Abstract Thermodynamics of superfluids is revisited, clarifying two points. First, the density and pressure distribution for given normal superfluid velocities obtained, with finding that counter heat currents give rise to a depression centripetal force. Second, it shown ideal two-fluid hydrodynamics simply an assembly equilibrium conditions —expressions entropy being maximal.

The modern convex-analytic rendition of the classical welfare theorems characterizes optimal allocations in terms of supporting properties of preferences by nonzero prices. While supporting convex sets in economies with finite dimensional commodity spaces is usually a straightforward application of the separation theorem, it is not that automatic in economies with infinite dimensional commodity...

This paper characterizes the necessary and sufficient conditions for tensegrity equilibria. Static models of tensegrity structures are reduced to linear algebra problems, after first characterizing the problem in a vector space where direction cosines are not needed. This is possible by describing the components of all member vectors. While our approach enlarges (by a factor of 3) the vector sp...

This is an electronic reprint of the original article published by the Institute of Mathematical Statistics in Statistical Science, 2014, Vol. 29, No. 3, 363–366. This reprint differs from the original in pagination and typographic detail. In other words, they do not involve both Y (x0) and Y (x1), nor X(zi) and X(zj) for i 6= j. where the instrument is randomized, as depicted by the DAG in Fig...

The lack of a first-principles derivation has made the hydrodynamic boundary condition a classical issue for the past century. The fact that the fluid can have interfacial structures adds additional complications and ambiguities to the problem. Here we report the use of molecular dynamics to identify from equilibrium thermal fluctuations the hydrodynamic modes in a fluid confined by solid walls...

The large scale distributions of gas, magnetic field and cosmic rays in the galactic halo are investigated. Our model is based on the analysis of all-sky surveys of H i gas (Lei-den/Dwingeloo survey), soft X-ray radiation (ROSAT all-sky survey), high energy γ-ray emission (EGRET > 100 MeV), and radio-continuum emission (408 MHz survey). We found a stable hydrostatic equilibrium configuration of...

Article history: Received 29 March 2013 Available online 10 February 2014 JEL classification: C72 D83 D85