Kumari-Dass equation of state - Revision history

Carl McBride: Added DOI links to the references.

2011-11-14T12:00:45Z

Added DOI links to the references.

← Older revision		Revision as of 14:00, 14 November 2011
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	~~Another model based on a linear bulk modulus equation, in the spirit of the~~ [~~[Murnaghan~~ equation of state]~~] was presented by Kumari and Dass~~<ref>~~Kumari,~~ M. and ~~Dass,~~ N. An equation of state applied to 50 solids. ''Condensed Matter'', 2~~:3219,~~ 1990.</ref>. The equation of state does not correctly model the bulk modulus as the pressure tends towards infinity, as it remains bounded. This is apparent in the equation relating the bulk modulus to pressure:		'''Kumari and Dass'''<ref>[http://dx.doi.org/10.1088/0953-8984/2/14/006 M. Kumari and N. Dass "An equation of state applied to sodium chloride and caesium chloride at high pressures and high temperatures", Journal of Physics: Condensed Matter '''2''' pp. 3219-3229 (1009)]</ref><ref>[http://dx.doi.org/10.1088/0953-8984/2/39/003 M. Kumari and N. Dass "An equation of state applied to 50 solids. II", Journal of Physics: Condensed Matter '''2''' pp. 7891-7895 (1990)]</ref> presented a model based on a linear [[Compressibility \|bulk modulus]] equation, in the spirit of the [[Murnaghan equation of state]]. The equation of state does not correctly model the bulk modulus as the [[pressure]], <math>p</math>, tends towards infinity, as it remains bounded. This is apparent in the equation relating the bulk modulus to pressure:

	:<math>B=B_0+\frac{B_0'}{\lambda}\left(1-e^{-\lambda P}\right)</math>		:<math>B=B_0+\frac{B_0'}{\lambda}\left(1-e^{-\lambda p}\right)</math>

	where <math>B_0</math> is the isothermal bulk modulus, <math>B_0'</math> is the pressure derivative of the bulk modulus and <math>\lambda</math> is a softening parameter for the bulk modulus. This leads to a equation for pressure dependent on these parameters of the form:		where <math>B_0</math> is the isothermal bulk modulus, <math>B_0'</math> is the pressure derivative of the bulk modulus and <math>\lambda</math> is a softening parameter for the bulk modulus. This leads to a equation for pressure dependent on these parameters of the form:

	:<math>P=\frac{1}{\lambda}\left[\frac{\lambda B_0 \left(V/V_0\right)^{-\lambda B_0 + B_0'}+B_0'}{\lambda B_0 + B_0'}\right]</math>		:<math>p=\frac{1}{\lambda}\left[\frac{\lambda B_0 \left(V/V_0\right)^{-\lambda B_0 + B_0'}+B_0'}{\lambda B_0 + B_0'}\right]</math>

Josephrpeterson at 05:18, 13 November 2011

2011-11-13T05:18:24Z

← Older revision		Revision as of 07:18, 13 November 2011
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	==References==		==References==
	<references/>		<references/>

			[[category: equations of state]]

Josephrpeterson: Created page with "Another model based on a linear bulk modulus equation, in the spirit of the Murnaghan equation of state was presented by Kumari and DassKumari, M. and Dass, N. An equati..."

2011-11-13T05:14:38Z

Created page with "Another model based on a linear bulk modulus equation, in the spirit of the Murnaghan equation of state was presented by Kumari and Dass<ref>Kumari, M. and Dass, N. An equati..."

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Another model based on a linear bulk modulus equation, in the spirit of the [[Murnaghan equation of state]] was presented by Kumari and Dass<ref>Kumari, M. and Dass, N. An equation of state applied to 50 solids. ''Condensed Matter'', 2:3219, 1990.</ref>. The equation of state does not correctly model the bulk modulus as the pressure tends towards infinity, as it remains bounded. This is apparent in the equation relating the bulk modulus to pressure:

:<math>B=B_0+\frac{B_0'}{\lambda}\left(1-e^{-\lambda P}\right)</math>

where <math>B_0</math> is the isothermal bulk modulus, <math>B_0'</math> is the pressure derivative of the bulk modulus and <math>\lambda</math> is a softening parameter for the bulk modulus. This leads to a equation for pressure dependent on these parameters of the form:

:<math>P=\frac{1}{\lambda}\left[\frac{\lambda B_0 \left(V/V_0\right)^{-\lambda B_0 + B_0'}+B_0'}{\lambda B_0 + B_0'}\right]</math>

==References==
<references/>