{"id":214913,"date":"2025-05-28T01:11:58","date_gmt":"2025-05-28T06:11:58","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2025\/05\/the-generalization-of-statistical-mechanics-makes-it-possible-to-regularize-the-theory-of-critical-phenomena"},"modified":"2025-05-28T01:11:58","modified_gmt":"2025-05-28T06:11:58","slug":"the-generalization-of-statistical-mechanics-makes-it-possible-to-regularize-the-theory-of-critical-phenomena","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2025\/05\/the-generalization-of-statistical-mechanics-makes-it-possible-to-regularize-the-theory-of-critical-phenomena","title":{"rendered":"The generalization of statistical mechanics makes it possible to regularize the theory of critical phenomena"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/the-generalization-of-statistical-mechanics-makes-it-possible-to-regularize-the-theory-of-critical-phenomena2.jpg\"><\/a><\/p>\n<p>Statistical mechanics is one of the pillars of modern physics. Ludwig Boltzmann (1844\u20131906) and Josiah Willard Gibbs (1839\u20131903) were its primary formulators. They both worked to establish a bridge between macroscopic physics, which is described by thermodynamics, and microscopic physics, which is based on the behavior of atoms and molecules.<\/p>\n<p>The Austrian physicist Boltzmann explained the second law of thermodynamics in statistical terms. He defined the entropy of a system based on the number of possible microstates it could assume.<\/p>\n<p>Unlike Boltzmann, who focused more on the physics of gases and the distribution of particles in equilibrium, the American Gibbs developed a general mathematical formalism that could be extended to more complex systems. Together, their contributions formed the basis of a physics capable of modeling a wide variety of phenomena.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Statistical mechanics is one of the pillars of modern physics. Ludwig Boltzmann (1844\u20131906) and Josiah Willard Gibbs (1839\u20131903) were its primary formulators. They both worked to establish a bridge between macroscopic physics, which is described by thermodynamics, and microscopic physics, which is based on the behavior of atoms and molecules. The Austrian physicist Boltzmann explained [\u2026]<\/p>\n","protected":false},"author":427,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2229,48],"tags":[],"class_list":["post-214913","post","type-post","status-publish","format-standard","hentry","category-mathematics","category-particle-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/214913","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/427"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=214913"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/214913\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=214913"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=214913"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=214913"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}