{"id":398494,"date":"2017-04-18T02:00:00","date_gmt":"2017-04-17T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=11f52205009377247b705353f35aa177"},"modified":"2017-04-18T02:00:00","modified_gmt":"2017-04-17T23:00:00","slug":"high-performance-parallel-computing-in-the-classroom-using-the-public-goods-game-as-an-example","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=398494","title":{"rendered":"High-performance parallel computing in the classroom using the public goods game as an example"},"content":{"rendered":"<p>The use of computers in statistical physics is common because the sheer number of equations that<br \/>\ndescribe the behaviour of an entire system particle by particle often makes it impossible to solve<br \/>\nthem exactly. Monte Carlo methods form a particularly important class of numerical methods for<br \/>\nsolving problems in statistical physics. Although these methods are simple in principle, their<br \/>\nproper use requires a good command of statistical mechanics, as well as considerable computational<br \/>\nresources. The aim of this paper is to demonstrate how the usage of widely accessible graphics cards<br \/>\non personal computers can elevate the computing power in Monte Carlo simulations by orders of<br \/>\nmagnitude, thus allowing live classroom demonstration of phenomena that would otherwise be out of<br \/>\nreach. As an example, we use the public goods game on a square lattice where two strategies compete<br \/>\nfor common resources in a social dilemma situation. We show that the second-order phase transition<br \/>\nto an absorbing &#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The use of computers in statistical physics is common because the sheer number of equations that<br \/>\ndescribe the behaviour of an entire system particle by particle often makes it impossible to solve<br \/>\nthem exactly. Monte Carlo methods form a particularly &#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-398494","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/398494","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=398494"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/398494\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=398494"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=398494"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=398494"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}