Equatorial waves - Revision history

78.144.72.141: Added common language "(east-west)" to the "zonal" technical term.

2014-09-04T22:16:22Z

Added common language "(east-west)" to the "zonal" technical term.

← Older revision		Revision as of 00:16, 5 September 2014
Line 1:		Line 1:
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	~~==General description==~~
	~~The PMF~~ is ~~a type of experiment which can be done~~ in ~~Monte Carlo~~ or ~~Molecular Dynamics simulations which examines how~~ a ~~system's energy changes as a function of some specific reaction coordinate parameter~~. ~~For example, it~~ may ~~examine how the system's energy changes as a function~~ of ~~the distance between two residues, or as~~ a ~~protein is pulled through a lipid bilayer~~. ~~Often PMF experiments are used in conjunction with umbrella sampling because typically the PMF experiment will fail~~ to ~~adequately sample the~~ system ~~space~~ as it ~~proceeds~~.<~~ref~~>A. R. ~~Leach~~, ~~''Molecular Modelling~~: ~~Principles~~ and ~~Applications''~~, ~~2001, ISBN 0-582-38210-6~~<~~/ref~~>

	~~==Mathematical description==~~
	~~The '''Potential of Mean Force'''~~ <~~ref~~>[~~[John Gamble Kirkwood\|Kirkwood, J~~. G.]~~] Statistical Mechanics of fluid Mixtures~~. J. ~~Chem~~. ~~Phys~~. ~~1935~~, 3, ~~300; Statistical Mechanics of Liquid Solutions~~. ~~Chemical Reviews 1936~~, 19, ~~275~~.~~</ref> of a system with N molecules is strictly the potential~~ that ~~gives~~ the ~~average force over all~~ the ~~configurations of all~~ the ~~n+1~~...~~N molecules acting on~~ a ~~particle ''j'' at any fixed configuration keeping fixed~~ a ~~set~~ of ~~molecules 1~~...n

	::~~<math>~~-~~\nabla_jw^{(n)} \, = \, \frac {\int e^{~~-~~\beta V} (~~- ~~\nabla_j V~~)~~d q_{n+1}~~...~~dq_N } {\int e^{~~-~~\beta V} d q_{n+1}~~ ....~~dq_N} j =1~~,2,....,~~n </math>~~

	~~Above~~, <~~math~~> ~~\nabla_jw^{(n)}~~ <~~/math~~> is the ~~averaged force~~, i.e. ~~"mean force". And~~ <~~math~~> ~~w^{(n)}~~ <~~/math~~> ~~is the so-called potential~~ of the ~~mean force~~. ~~For~~ <~~math~~> ~~n=2~~ <~~/math~~>, <~~math~~> ~~w^{(2)}(r)~~ <~~/math~~> is the ~~average work needed~~ to ~~bring the two particles from infinite separation~~ to a ~~distance~~ <~~math~~> r <~~/math~~>. It is ~~also related~~ to the ~~[[radial distribution function]] of the system,~~ <~~math~~> ~~g(r)~~ <~~/math~~>, ~~by:<ref>See Chandler~~, ~~section 7~~.3<~~/ref~~>

	::<~~math~~> ~~g(r) = e^{-\beta w^{(2)}(r)} </math>~~

	~~==See also==~~
	*[[Statistical potential]]

	~~==References==~~
	~~{{Reflist}}~~

	~~==Further reading==~~
	*McQuarrie, D. ~~A. Statistical Mechanics.~~
	*[[David Chandler (chemist)\|Chandler, D.~~]] (1987)~~. ~~[[Introduction~~ to ~~Modern Statistical Mechanics]]~~. ~~Oxford University Press~~.

	~~==External links==~~
	* [http://klingon.~~uab.es/prat/Thesis/node51.html Potential of Mean force]~~

	~~[[Category:Physical chemistry]]~~


	~~{{Chem-stub}}~~

en>ChrisGualtieri: /* Connection to El Nino Southern Oscillation */General Fixes + CheckWiki 75 using AWB

2013-10-28T02:30:12Z

Connection to El Nino Southern Oscillation: General Fixes + CheckWiki 75 using AWB

← Older revision		Revision as of 04:30, 28 October 2013
Line 1:		Line 1:
			{{Expert-subject\|Chemistry\|date=November 2008}}

			==General description==
			The PMF is a type of experiment which can be done in Monte Carlo or Molecular Dynamics simulations which examines how a system's energy changes as a function of some specific reaction coordinate parameter. For example, it may examine how the system's energy changes as a function of the distance between two residues, or as a protein is pulled through a lipid bilayer. Often PMF experiments are used in conjunction with umbrella sampling because typically the PMF experiment will fail to adequately sample the system space as it proceeds.<ref>A. R. Leach, ''Molecular Modelling: Principles and Applications'', 2001, ISBN 0-582-38210-6</ref>

	~~Bonus: WP Twin and WP Twin Auto Backup: (link to ) While not a theme~~, ~~I think this software is essential if you are maintaining your Wordpress blog or regularly create new blog sites~~. ~~What I advise you do next is save the backup data file to a remote place like a CD-ROM, external disk drive if you have one or a provider such as Dropbox~~. ~~The effect is to promote older posts by moving them back onto the front page and into the rss feed~~. ~~If you're using Wordpress and want to make your blog a "dofollow" blog~~, ~~meaning that links from your blog pass on the benefits of Google pagerank~~, ~~you can install one~~ of ~~the many dofollow plugins available~~. ~~provided by Word - Press Automatic Upgrade~~, ~~so whenever you need to update the new version does not~~, ~~it automatically creates no webmaster~~. <br>~~<br>Most Word - Press web developers can provide quality CMS website solutions and they price their services at reasonable rates. Best~~ of ~~all, you can still have all~~ the ~~functionality~~ that ~~you desire when you use~~ the ~~Word - Press platform. This may possibly also permit it currently being seriously straightforward to modify~~ the ~~hues within your Ad - Sense code so~~ the ~~ads blend nicely with the many term broad internet word wide web web page in case you can come to your conclusion to run the adverts~~. ~~By purchasing Word - Press weblogs you can acquire your very own domain title and have total command~~ of ~~your web site~~. ~~But in case you want some theme or plugin in sync with your business needs, it is advisable that you must seek some professional help~~. <br>~~<br>But before choosing any one of these~~, ~~let's compare between the two~~. ~~s cutthroat competition prevailing in the online space won~~. ~~If Gandhi was empowered with a blogging system~~, ~~every event in his life would have been minutely documented so that it could be recounted to the future generations~~. The animation can be quite subtle these as snow falling gently or some twinkling start in the track record which are essentially not distracting but as an alternative gives some viewing enjoyment for the visitor of the internet site. ~~For more regarding [http:~~//d2.~~ae/wordpress_backup_plugin_419854 backup plugin] check out our web site~~. " ~~Thus working with a Word~~ - ~~Press powered web application, making any changes in~~ the ~~website design or website content is really easy and self explanatory~~. <br><br>~~Numerous bloggers are utilizing Word - Press and with good reason. php file in the Word - Press root folder and look for this line~~ (~~line 73 in our example~~)~~:. Normally,~~ the ~~Word - Press developers make a thorough research on your website goals and then ingrain~~ the ~~most suitable graphical design elements~~ to ~~your website~~. ~~If you just want~~ to ~~share some picture and want to use it as a dairy~~, ~~that you want to share with your friends and family members~~, ~~then blogger would be an excellent choice. The popularity of Word - Press has increased the demand for Word - Press themes and these themes sells like hot cake on the internet~~. <br><br>~~This advice is critical because you don't want to waste too expensive time establishing your Word~~ - ~~Press blog the exact method~~. ~~It can run as plugin and you can still get to that whole database just in circumstance your webhost does not have a c - Panel area~~. ~~Must being~~, ~~it's beneficial because I don't know about you, but loading an old website on a mobile, having~~ to ~~scroll down, up, and sideways' I find~~ links ~~being clicked and bounced around like I'm on a freaking trampoline~~. ~~Web developers and newbies alike will have the ability to extend your web site and fit other incredible functions with out having to spend more~~. ~~However, if you're just starting out your blog site or business site, you can still search for an ideal theme for it without breaking your bank account~~.		==Mathematical description==
			The '''Potential of Mean Force''' <ref>[[John Gamble Kirkwood\|Kirkwood, J. G.]] Statistical Mechanics of fluid Mixtures. J. Chem. Phys. 1935, 3, 300; Statistical Mechanics of Liquid Solutions. Chemical Reviews 1936, 19, 275.</ref> of a system with N molecules is strictly the potential that gives the average force over all the configurations of all the n+1...N molecules acting on a particle ''j'' at any fixed configuration keeping fixed a set of molecules 1...n

			::<math>-\nabla_jw^{(n)} \, = \, \frac {\int e^{-\beta V} (- \nabla_j V)d q_{n+1}...dq_N } {\int e^{-\beta V} d q_{n+1} ....dq_N} j =1,2,....,n </math>

			Above, <math> \nabla_jw^{(n)} </math> is the averaged force, i.e. "mean force". And <math> w^{(n)} </math> is the so-called potential of the mean force. For <math> n=2 </math>, <math> w^{(2)}(r) </math> is the average work needed to bring the two particles from infinite separation to a distance <math> r </math>. It is also related to the [[radial distribution function]] of the system, <math> g(r) </math>, by:<ref>See Chandler, section 7.3</ref>

			::<math> g(r) = e^{-\beta w^{(2)}(r)} </math>

			==See also==
			*[[Statistical potential]]

			==References==
			{{Reflist}}

			==Further reading==
			*McQuarrie, D. A. Statistical Mechanics.
			*[[David Chandler (chemist)\|Chandler, D.]] (1987). [[Introduction to Modern Statistical Mechanics]]. Oxford University Press.

			==External links==
			* [http://klingon.uab.es/prat/Thesis/node51.html Potential of Mean force]

			[[Category:Physical chemistry]]


			{{Chem-stub}}

en>Kevmitch: /* Equatorial Rossby and Rossby-gravity waves */ fix link to yanai paper

2012-06-12T02:37:13Z

Equatorial Rossby and Rossby-gravity waves: fix link to yanai paper

New page

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