The effect of density-gradient terms in the free energy on density fluctuations near the critical point

Rice, O. K.; Chang, D.R.

doi:10.1016/0031-8914(74)90377-2

Cited by 4 publications

(3 citation statements)

References 8 publications

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“…Roll clouds are tube-shaped, many kilometers long structures rolled up about a horizontal axis, single 18 or multiple 19 [see Figs. 3,4], like so called Morning Glory cloud frequently observed in Australia 20 that can be between hundred and thousand kilometers long and only about one kilometer in diameter, 21,22 and also clouds observed in South America and elsewhere. 18,23 A clear pressure jump of up to 200 Pa in such rolling solitons has been measured, 22 implying the excess of energy in them as compared with the surrounding fluid.…”

Section: Energy In Density Gradientmentioning

confidence: 92%

Energy in density gradient

Vranjes

Kono

2015

Physics of Plasmas

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Inhomogeneous plasmas and fluids contain energy stored in inhomogeneity and they naturally tend to relax into lower energy states by developing instabilities or by diffusion. But the actual amount of energy in such inhomogeneities has remained unknown. In the present work the amount of energy stored in a density gradient is calculated for several specific density profiles in a cylindric configuration. This is of practical importance for drift wave instability in various plasmas, and in particular in its application in models dealing with the heating of solar corona because the instability is accompanied with stochastic heating, so the energy contained in inhomogeneity is effectively transformed into heat. It is shown that even for a rather moderate increase of the density at the axis in magnetic structures in the corona by a factor 1.5 or 3, the amount of excess energy per unit volume stored in such a density gradient becomes several orders of magnitude greater than the amount of total energy losses per unit volume (per second) in quiet regions in the corona. Consequently, within the life-time of a magnetic structure such energy losses can easily be compensated by the stochastic drift wave heating.

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Section: Energy In Density Gradientmentioning

confidence: 92%

Energy in density gradient

Vranjes

Kono

2015

Physics of Plasmas

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“…Thus we can analyze the interfacial tension in terms of either one. It is possible to evaluate and 2 by means of integrals involving the surface quantities.2 Xo /I " Jp0i -, ) dz + X ( -Pi0i,i) dz (3) 2 = -y2(6z)2 f Wi/sp)t (dp/dz) dp (4) '•'Pv…”

Section: Relation Between £ and Thermodynamic Quantitiesmentioning

confidence: 99%

“…Recently we have investigated whether such a term parallels the density fluctuation term. 4 For such parallelism we concluded that Q <* where is equal to the critical exponent defined by Fisher,6 which is related to the spatial decay of a fluctuation near the critical point. One of our objectives is to discuss in somewhat more detail reasons for believing that the parallelism should exist.…”

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confidence: 91%