diffusion
http://plus.maths.org/content/taxonomy/term/466
enThings never get simpler - the work of Cédric Villani
http://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="http://plus.maths.org/content/things-never-get-simpler-work-cedric-villani" target="_blank">read more</a></p>http://plus.maths.org/content/things-never-get-simpler-work-cedric-villani#commentsBoltzmann equationdiffusionentropyfields medalICMFri, 20 Aug 2010 09:50:32 +0000mf3445288 at http://plus.maths.org/contentHow long can we survive a zombie invasion?
http://plus.maths.org/content/how-long-can-we-survive
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Thomas Woolley, Ruth Baker, Eamonn Gaffney, Philip Maini </div>
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<p>Can a mathematical model of zombies' movements allow the human race to survive impending doom?</p>
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<p>Knowing how long we have before we interact with a zombie could mean the difference between life, death and zombification. Here, we use diffusion to model the zombie population shuffling randomly over a one-dimensional domain. This mathematical formulation allows us to derive exact and approximate interaction times, leading to conclusions on how best to delay the inevitable meeting.
</p><p><a href="http://plus.maths.org/content/how-long-can-we-survive" target="_blank">read more</a></p>http://plus.maths.org/content/how-long-can-we-survive#commentsdiffusionFP-carouselzombiesTue, 03 Feb 2015 12:57:51 +0000Rachel5472 at http://plus.maths.org/contentDiffusion plays by the rules
http://plus.maths.org/content/diffusion-plays-rules
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<p>Whenever you smell the lovely smell of fresh coffee or drop a tea bag into hot water you're benefiting from diffusion: the fact that particles moving at random under the influence of thermal energy spread themselves around. It's this process that wafts coffee particles towards your nose and allows the tea to spread around the water. Diffusion underlies a huge number of processes and it has been studied intensively for over 150 years. Yet it wasn't until very recently that one of the most important assumptions of the underlying theory was confirmed in an experiment.</p>
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<p>Whenever you smell the lovely smell of fresh coffee or drop a tea bag into hot water you're benefiting from diffusion: the fact that particles moving at random under the influence of thermal energy spread themselves around. It's this process that wafts coffee particles towards your nose and allows the tea to spread around the water.<p><a href="http://plus.maths.org/content/diffusion-plays-rules" target="_blank">read more</a></p>http://plus.maths.org/content/diffusion-plays-rules#commentsmathematical realitydiffusiondiffusion coefficientMon, 24 Oct 2011 08:16:29 +0000mf3445575 at http://plus.maths.org/contentEat, drink and be merry: making it go down well
http://plus.maths.org/content/eat-drink-and-be-merry-0
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Chris Budd </div>
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<p>This article is part of a series of two articles exploring two ways in which mathematics comes into food, and especially into food safety and health. In this article we will take a dive into the rather smelly business of digesting food, and how a crazy application of chaos theory shows the best way to digest a medicinal drug.</p>
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<div style="position: relative; left: 50%; width: 70%"><font size="2"><i>Back to the <a href="https://www.plus.maths.org/content/do-you-know-whats-good-you-maths-next-microscope">Next microscope package </a><p><a href="http://plus.maths.org/content/eat-drink-and-be-merry-0" target="_blank">read more</a></p>http://plus.maths.org/content/eat-drink-and-be-merry-0#commentschaosdifferential equationdiffusionfractalmathematical modellingmedicine and healthMon, 13 Sep 2010 11:37:25 +0000mf3445309 at http://plus.maths.org/contentThings never get simpler - the work of Cédric Villani
http://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="http://plus.maths.org/content/things-never-get-simpler-work-c%C3%A9dric-villani-0" target="_blank">read more</a></p>http://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 http://plus.maths.org/contentHow the leopard got its spots
http://plus.maths.org/content/how-leopard-got-its-spots
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Lewis Dartnell </div>
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How does the uniform ball of cells that make up an embryo differentiate to create the dramatic patterns of a zebra or leopard? How come there are spotty animals with stripy tails, but no stripy animals with spotty tails? <b>Lewis Dartnell</b> solves these, and other, puzzles of animal patterning. </div>
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<div class="pub_date">May 2004</div>
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<h2>Some Just So stories of animal patterning</h2>
<p><i>Alan Turing is considered to be one of the most brilliant mathematicians of the last century. He helped crack the German Enigma code during the Second World War and laid the foundations for the digital computer. His only foray into mathematical biology produced a paper so insightful that it is still regularly cited today, over 50 years since it was published.</i></p>
<p align="center"></p><p><a href="http://plus.maths.org/content/how-leopard-got-its-spots" target="_blank">read more</a></p>http://plus.maths.org/content/how-leopard-got-its-spots#comments30Alan Turinganimal patterningdifferential equationdiffusionmorphogenesispartial differential equationpartial differentiationperturbationreaction-diffusion equationssaturationthresholdFri, 30 Apr 2004 23:00:00 +0000plusadmin2246 at http://plus.maths.org/contentCars in the next lane really do go faster
http://plus.maths.org/content/cars-next-lane-really-do-go-faster
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Nick Bostrom </div>
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Yes, you were right to wish you were in the other lane during this morning's commute! <b>Nick Bostrom</b> tells why we're usually caught in the slow lane. </div>
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<div class="pub_date">Nov 2001</div>
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<p>When driving on the motorway, have you ever wondered about (and cursed) the fact that cars in the other lane seem to be getting ahead faster than you? You might be inclined to account for this by invoking Murphy's Law ("If anything can go wrong, it will", discovered by Edward A. Murphy, Jr, in 1949).<p><a href="http://plus.maths.org/content/cars-next-lane-really-do-go-faster" target="_blank">read more</a></p>http://plus.maths.org/content/cars-next-lane-really-do-go-faster#comments17anthropic principlebayes theoremconditional probabilitydata samplingdiffusionequilibriumestimationobservation selection effectthermodynamicsFri, 01 Dec 2000 00:00:00 +0000plusadmin2194 at http://plus.maths.org/content