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Termostatics by Gross

 
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Aug18-05, 09:39 AM   #1
 

Termostatics by Gross


<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no,location=no, scrollbars=yes,resizable=yes,status=no,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>Hi!\nI have read very interesting article written by Gross, about\ntermostatics. Author described termodynamics from microcanonical\nensemble point of view, and particulary he acheive for example\ndescription of phase transitions and termodynamic description of small\nsystems like 100 nucleons as well. This had been done without\ntermodynamic limit!\n\nHis works are accessible on arxiv and on his home page ( try google)\n\n[ Mod. note: Since more than one Gross can be found on the arXiv,\nat least one link would be helpful. -ik ]\n\nDid You heared about this point of view?\nIs there elsewhere any serious discussion of this matter?\nThanks\nkazek\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form">&nbsp;&nbsp;View this Usenet post in original ASCII form </a></div><P></jabberwocky>Hi!
I have read very interesting article written by Gross, about
termostatics. Author described termodynamics from microcanonical
ensemble point of view, and particulary he acheive for example
description of phase transitions and termodynamic description of small
systems like 100 nucleons as well. This had been done without
termodynamic limit!

His works are accessible on arxiv and on his home page ( try google)

[ Mod. note: Since more than one Gross can be found on the arXiv,
at least one link would be helpful. [itex]-ik ][/itex]

Did You heared about this point of view?
Is there elsewhere any serious discussion of this matter?
Thanks
kazek

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Aug19-05, 12:19 PM   #2
 
<jabberwocky><div class="vbmenu_control"><a href="jabberwocky:;" onClick="newWindow=window.open('','usenetCode','toolbar=no,location=no, scrollbars=yes,resizable=yes,status=no,width=650,height=400'); newWindow.document.write('<HTML><HEAD><TITLE>Usenet ASCII</TITLE></HEAD><BODY topmargin=0 leftmargin=0 BGCOLOR=#F1F1F1><table border=0 width=625><td bgcolor=midnightblue><font color=#F1F1F1>This Usenet message\'s original ASCII form: </font></td></tr><tr><td width=449><br><br><font face=courier><UL><PRE>Of course You are right (Moderator) : the article is acessible at:\narxiv:cond-mat/0206341\nAs this use microcanonical ensemble there is possibility to describe\nensembles in which termodynamic limit cannot be taken, like systems\nwith long range forces like gravitation for example.\nFor that kind of systems termodynamic limit cannot be easely taken so\ncanonical ensemble may be inconsistent with microcanonical one.\n\nI am very interested in Your opinion about this matter.\nOne with my objection is: because in microcanonical ensemble we have\nnot properly defined temperature there is no possibility to define\nentropy in usual sense. Of course we may try to use direct Bolzmann\ndefinition kT*ln(W) but what is T?\n\nThanks\nkazek\n\n</UL></PRE></font></td></tr></table></BODY><HTML>');"> <IMG SRC=/images/buttons/ip.gif BORDER=0 ALIGN=CENTER ALT="View this Usenet post in original ASCII form">&nbsp;&nbsp;View this Usenet post in original ASCII form </a></div><P></jabberwocky>Of course You are right (Moderator) : the article is acessible at:
arxiv:http://www.arxiv.org/abs/cond-mat/0206341
As this use microcanonical ensemble there is possibility to describe
ensembles in which termodynamic limit cannot be taken, like systems
with long range forces like gravitation for example.
For that kind of systems termodynamic limit cannot be easely taken so
canonical ensemble may be inconsistent with microcanonical one.

I am very interested in Your opinion about this matter.
One with my objection is: because in microcanonical ensemble we have
not properly defined temperature there is no possibility to define
entropy in usual sense. Of course we may try to use direct Bolzmann
definition [itex]kT*ln(W)[/itex] but what is T?

Thanks
kazek

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