skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Reciprocal relations in dissipationless hydrodynamics

Abstract

Hidden symmetry in dissipationless terms of arbitrary hydrodynamics equations is recognized. We demonstrate that all fluxes are generated by a single function and derive conventional Euler equations using the proposed formalism.

Authors:
 [1]
  1. Russian Academy of Sciences, Kapitza Institute for Physical Problems (Russian Federation)
Publication Date:
OSTI Identifier:
22472469
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 119; Journal Issue: 6; Other Information: Copyright (c) 2014 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIFFERENTIAL EQUATIONS; FUNCTIONS; HYDRODYNAMICS; SYMMETRY

Citation Formats

Melnikovsky, L. A., E-mail: leva@kapitza.ras.ru. Reciprocal relations in dissipationless hydrodynamics. United States: N. p., 2014. Web. doi:10.1134/S1063776114120085.
Melnikovsky, L. A., E-mail: leva@kapitza.ras.ru. Reciprocal relations in dissipationless hydrodynamics. United States. doi:10.1134/S1063776114120085.
Melnikovsky, L. A., E-mail: leva@kapitza.ras.ru. 2014. "Reciprocal relations in dissipationless hydrodynamics". United States. doi:10.1134/S1063776114120085.
@article{osti_22472469,
title = {Reciprocal relations in dissipationless hydrodynamics},
author = {Melnikovsky, L. A., E-mail: leva@kapitza.ras.ru},
abstractNote = {Hidden symmetry in dissipationless terms of arbitrary hydrodynamics equations is recognized. We demonstrate that all fluxes are generated by a single function and derive conventional Euler equations using the proposed formalism.},
doi = {10.1134/S1063776114120085},
journal = {Journal of Experimental and Theoretical Physics},
number = 6,
volume = 119,
place = {United States},
year = 2014,
month =
}
  • We determine both representations of the Fundamental Plane [FP; R {sub e} {proportional_to} {sigma} {sup a} {sub 0}(I){sup -b} {sub e} and R {sub e} {proportional_to} ({sigma}{sup 2} {sub 0}(I){sup -1} {sub e}){sup {lambda}}] and the luminosity-effective phase-space density (L {proportional_to} f {sup -{gamma}} {sub e}) scaling relation for N-body remnants of binary mergers of spiral-like galaxies. The main set of merger simulations involves a mass ratio of the progenitors in the range of about 1:1 to 1:5, harboring or not a bulge-like component, and are constructed using a cosmological motivated model. Equal-mass mergers are also considered. Remnants lead tomore » average values for the scaling indices of (a) {approx} 1.6, (b) {approx} 0.6, ({lambda}) {approx} 0.7, and ({gamma}) {approx} 0.65. These values are consistent with those of K-band observations of ellipticals: (a) {approx} 1.5, (b) {approx} 0.8, ({lambda}) {approx} 0.7, and ({gamma}) {approx} 0.60. The b index is, however, not well reproduced. This study does not allow us to establish a conclusive preference for models with or without a bulge as progenitors. Our results indicate that the L-f {sub e} and FP scalings might be determined to a large extent by dissipationless processes, a result that appears to be in contradiction to other dissipationless results.« less
  • The validity of Onsager's reciprocal relations in ternary diffusion was verified by transformation of the thermodynamic expressions into concentration gradient form while assuming no volume flow. A table containing several systems is presented, and the estimated error is assigned solely to uncertainties in diffusion coefficients based on concentration gradients; however, some error undoubtedly exists in the activity coefficients since they were estimated in the absence of experimental data.