Boltzmann equation
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enThings never get simpler - the work of Cédric Villani
https://plus.maths.org/content/things-never-get-simpler-work-cedric-villani
<p>What would you think if the nice café latte in your cup suddenly separated itself out into one half containing just milk and the other containing just coffee? Probably that you, or the world, have just gone crazy. There is, perhaps, a theoretical chance that after stirring the coffee all the swirling atoms in your cup just happen to find themselves in the right place for this to occur, but this chance is astronomically small. </p><p><a href="https://plus.maths.org/content/things-never-get-simpler-work-cedric-villani" target="_blank">read more</a></p>https://plus.maths.org/content/things-never-get-simpler-work-cedric-villani#commentsBoltzmann equationdiffusionentropyfields medalICMFri, 20 Aug 2010 09:50:32 +0000mf3445288 at https://plus.maths.org/contentWhen worlds collide
https://plus.maths.org/content/when-worlds-collide
<div class="rightimage" style="width: 212px"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/podcast/villani.jpg" alt="Villani" width="212px" height="280px" />
<p>Cédric Villani. Image: <a href="http://commons.wikimedia.org/wiki/File:Cédric_Villani.jpeg">Renate Schmid</a>.</p><p><a href='http://plus.maths.org/content/sites/plus.maths.org/files/podcast/villani_edit2.mp3'>Listen to our interview with Cédric Villani </a></p><p><a href="https://plus.maths.org/content/when-worlds-collide" target="_blank">read more</a></p>https://plus.maths.org/content/when-worlds-collide#commentsBMC2014Boltzmann equationchaosdynamical systementropystatistical mechanicsThu, 10 Apr 2014 11:17:06 +0000mf3446080 at https://plus.maths.org/contentSatanic science
https://plus.maths.org/content/satanic-science
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Marianne Freiberger </div>
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<p>There's no doubt that information is power, but could it be converted into physical energy you could heat a room with or run a machine on? In the 19th century James Clerk Maxwell invented a hypothetical being — a "demon" — that seemed to be able to do just that. The problem was that the little devil blatantly contravened the laws of physics. What is Maxwell's demon and how was it resolved?</p>
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<div class="rightimage" style="width: 260px;"><img src="https://plus.maths.org/content/sites/plus.maths.org/files/packages/2011/fqxi/fqxi_logo.jpg" width="200" height="42" alt="FQXi logo"/></div>
<p><em>This article is part of our <a href="https://plus.maths.org/content/information-about-information">Information about information project</a>, run <a href="https://plus.maths.org/content/information-about-information#fqxi">in collaboration with FQXi</a>. It addresses the question 'can information be turned into energy?'. Click <a href="https://plus.maths.org/content/information-about-information">here</a> to see other articles from the project. </em></p><p><a href="https://plus.maths.org/content/satanic-science" target="_blank">read more</a></p>https://plus.maths.org/content/satanic-science#commentsBoltzmann equationentropyhistory of mathematicsinformation about informationInformation theorystatistical mechanicsthermodynamicsMon, 24 Mar 2014 09:31:56 +0000mf3446046 at https://plus.maths.org/contentThings never get simpler - the work of Cédric Villani
https://plus.maths.org/content/things-never-get-simpler-work-c%C3%A9dric-villani-0
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<p>What would you think if the nice café latte in your cup suddenly separated itself out into one half containing just milk and the other containing just coffee? Probably that you, or the world, have just gone crazy. There is, perhaps, a theoretical chance that after stirring the coffee all the swirling atoms in your cup just happen to find themselves in the right place for this to occur, but this chance is astronomically small.</p>
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<p>What would you think if the nice café latte in your cup suddenly separated itself out into one half containing just milk and the other containing just coffee? Probably that you, or the world, have just gone crazy. There is, perhaps, a theoretical chance that after stirring the coffee all the swirling atoms in your cup just happen to find themselves in the right place for this to occur, but this chance is astronomically small. </p><p><a href="https://plus.maths.org/content/things-never-get-simpler-work-c%C3%A9dric-villani-0" target="_blank">read more</a></p>https://plus.maths.org/content/things-never-get-simpler-work-c%C3%A9dric-villani-0#commentsBoltzmann equationdiffusionentropyfields medalICMThu, 19 Aug 2010 23:00:00 +0000mf3445324 at https://plus.maths.org/contentUniversal pictures
https://plus.maths.org/content/universal-pictures
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Marianne Freiberger </div>
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<b>Peter Markowich</b> is a mathematician who likes to take pictures. At first his two interests seemed completely separate to him, but then he realised that behind every picture there is a mathematical story to tell. <i>Plus</i> went to see him to find out more, and ended up with a pictorial introduction to partial differential equations. </div>
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<div class="pub_date">September 2008</div>
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<p><i>Beautiful photography is not what you usually find on a mathematician's website, but this is just what Plus recently came across while idly browsing the Web. Intrigued, we went to see the website's owner, and ended up with an introduction to some high-powered mathematics through the means of pictures.</i></p>
<p><i>Parts of this interview are also available as a <a href="/podcasts/PlusPodcastSept08.mp3">podcast</a>.</i></p><p><a href="https://plus.maths.org/content/universal-pictures" target="_blank">read more</a></p>https://plus.maths.org/content/universal-pictures#comments48Alan Turinganimal patterningBoltzmann equationCMSdifferential equationmathematics and artnavier-stokes equationsoptimal transportationpartial differential equationreaction-diffusion equationsSun, 31 Aug 2008 23:00:00 +0000plusadmin2343 at https://plus.maths.org/content