EFTA02496900.pdf

From: jeffrey E. <[email protected]> Sent: Monday, July 6, 2015 9:13 AM To: Misha Gromov Subject: I m around until wed if you want to talk more about sense making Your question about entropy is an impo=tant one. The second law of thermodynamics tells us that =ystems go to states of high entropy where events are random and uncorrelat=d, so that thermal fluctuations appear to be statistically indep=ndent. However, if you look under the hood of the second =aw, you find that what is really going on is that the dynamics t=at leads you to this high entropy state is actually generating huge amount= of correlations between the different parts of the system. =AO In fact, the apparently random and independent f=uctuations of the parts reflect large correlations with the other parts of=the system. But these correlations are effectively smeare= out over the whole system: to reveal the fact that they are not=truly independent, one would have to make measurements on all the parts to=ether, and tease out the extensive but subtle correlations betwe=n them. For example, even though the=apparent high entropy of a gas of molecules reflects all the cor=elations that are generated by the collisions of molecules over time, if o=e looks at just two molecules in the gas, their motions will be =tatistically independent to a high degree of accuracy. please note confidential, may be=attorney-client privileged, may constitute inside information, and is i=tended only for the use of the addressee. It is the property of JEE<=r>Unauthorized use, disclosure or copying of this communication or any =art thereof is strictly prohibited and may be unlawful. If you have rec=ived this communication in error, please notify us immediately by re=urn e-mail or by e-mail to [email protected] <mailto:[email protected]> , and destroy this communication an= all copies thereof, including all attachments. copyright -all rights r=served EFTA_R1_01621673 EFTA02496900