{"id":608069,"date":"2017-10-24T02:00:00","date_gmt":"2017-10-23T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=cc269528c458e14b1c96dc616eb652da"},"modified":"2017-10-24T02:00:00","modified_gmt":"2017-10-23T23:00:00","slug":"great-moments-in-kinetic-theory-150-years-of-maxwells-other-equations","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=608069","title":{"rendered":"Great moments in kinetic theory: 150 years of Maxwell\u2019s (other) equations"},"content":{"rendered":"<p>In 1867, just two years after laying the foundations of electromagnetism, J. Clerk Maxwell presented<br \/>\na fundamental paper on kinetic gas theory, in which he described the evolution of the gas in terms<br \/>\nof certain \u2018moments\u2019 of its velocity distribution function. This inspired Ludwig Boltzmann to<br \/>\nformulate his famous kinetic equation, from which followed the H -theorem and the connection with<br \/>\nentropy. On the occasion of the 150th anniversary of publication of Maxwell&#8217;s paper, we review the<br \/>\nMaxwell\u2013Boltzmann formalism and discuss how its generality and adaptability enable it to play a key<br \/>\nrole in describing the behaviour of a variety of systems of current interest, in both gaseous and<br \/>\ncondensed matter, and in modern-day physics and technologies which Maxwell and Boltzmann could not<br \/>\npossibly have foreseen. In particular, we illustrate the relevance and applicability of Maxwell&#8217;s<br \/>\nformalism to the dynamic field of plasma-wakefield acceleration.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In 1867, just two years after laying the foundations of electromagnetism, J. Clerk Maxwell presented<br \/>\na fundamental paper on kinetic gas theory, in which he described the evolution of the gas in terms<br \/>\nof certain \u2018moments\u2019 of its velocity distribution &#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-608069","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\/608069","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=608069"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/608069\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=608069"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=608069"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=608069"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}