Algebraic cycle - Revision history

en>TakuyaMurata at 11:30, 12 May 2014

2014-05-12T11:30:59Z

← Older revision		Revision as of 13:30, 12 May 2014
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	~~In [[statistical mechanics]]~~ and ~~[[thermodynamics]] the '''compressibility equation''' refers to an equation which relates the isothermal [[compressibility]] (and indirectly the pressure) to the structure~~ of the ~~liquid~~. ~~It reads:~~		Royal Votaw is my title but I never truly favored that title. Interviewing is what she does in her day occupation but soon her spouse and her will start their own company. Her family life in Idaho. To keep birds is one of the issues he enjoys most.<br><br>Here is my web blog: [http://www.newsfortrader.com/ActivityFeed/MyProfile/tabid/60/userId/29712/language/it-IT/Default.aspx www.newsfortrader.com]

	<~~center~~>
	<~~math~~>~~kT\left(\frac{\partial \rho}{\partial p}\right)=1+\rho \int d r~~ [~~g(r)-1] <~~/~~math> (1)~~
	</~~center>~~

	~~where <math>\rho<~~/~~math> is the number density, g(r) is the [[radial distribution function]] and <math>kT\left(\frac{\partial \rho}{\partial p}\right)<~~/~~math> is the isothermal [[compressibility]].~~

	~~Using the Fourier representation of the [[Ornstein-Zernike equation]] the compressibility equation (1) can be rewritten in the form:~~

	~~<center>~~
	~~<math>\frac{1}{kT}\left(\frac{\partial p}{\partial \rho}\right) = \frac{1}{1+\rho \int h(r) d \rm{r}}=\frac{1}{1+\rho \hat{H}(0)}=1-\rho\hat{C}(0)=1~~-~~\rho \int c(r) d \rm{r} </math> (2)~~
	</~~center>~~

	~~where h(r) and c(r) are the indirect and direct correlation functions respectively. The compressibility equation is one of the many [[integral equations]] in [[statistical mechanics]]~~.

	~~==References==~~

	#D.A. ~~McQuarrie, Statistical Mechanics (Harper Collins Publishers) 1976~~

	~~[[Category:Statistical mechanics]]~~
	~~[[Category:Thermodynamic equations]~~]

en>Bob1960evens: /* References */ only one isbn allowed by cite book

2013-05-22T13:24:20Z

References: only one isbn allowed by cite book

← Older revision		Revision as of 15:24, 22 May 2013
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	~~Claude is her name~~ and ~~she totally digs that title~~. ~~My occupation~~ is ~~a messenger. Delaware~~ is the ~~place I love most but I need to transfer for my family. To perform croquet~~ is ~~some thing that I've carried out for years~~.<br><br>~~Also visit my website~~ - ~~extended car warranty~~ (~~[https:~~//~~Epapyrus~~.~~com/xe/Purchase/5246873 site web~~])		In [[statistical mechanics]] and [[thermodynamics]] the '''compressibility equation''' refers to an equation which relates the isothermal [[compressibility]] (and indirectly the pressure) to the structure of the liquid. It reads:

			<center>
			<math>kT\left(\frac{\partial \rho}{\partial p}\right)=1+\rho \int d r [g(r)-1] </math> (1)
			</center>

			where <math>\rho</math> is the number density, g(r) is the [[radial distribution function]] and <math>kT\left(\frac{\partial \rho}{\partial p}\right)</math> is the isothermal [[compressibility]].

			Using the Fourier representation of the [[Ornstein-Zernike equation]] the compressibility equation (1) can be rewritten in the form:

			<center>
			<math>\frac{1}{kT}\left(\frac{\partial p}{\partial \rho}\right) = \frac{1}{1+\rho \int h(r) d \rm{r}}=\frac{1}{1+\rho \hat{H}(0)}=1-\rho\hat{C}(0)=1-\rho \int c(r) d \rm{r} </math> (2)
			</center>

			where h(r) and c(r) are the indirect and direct correlation functions respectively. The compressibility equation is one of the many [[integral equations]] in [[statistical mechanics]].

			==References==

			#D.A. McQuarrie, Statistical Mechanics (Harper Collins Publishers) 1976

			[[Category:Statistical mechanics]]
			[[Category:Thermodynamic equations]]

Deltahedron: /* Definition */ ce

2012-06-03T06:18:21Z

Definition: ce

New page

Claude is her name and she totally digs that title. My occupation is a messenger. Delaware is the place I love most but I need to transfer for my family. To perform croquet is some thing that I've carried out for years.<br><br>Also visit my website - extended car warranty ([https://Epapyrus.com/xe/Purchase/5246873 site web])