{"id":207847,"date":"2025-03-05T05:19:30","date_gmt":"2025-03-05T11:19:30","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2025\/03\/from-classical-to-quantum-navier-stokes-equations-adapted-for-1d-quantum-liquids"},"modified":"2025-03-05T05:19:30","modified_gmt":"2025-03-05T11:19:30","slug":"from-classical-to-quantum-navier-stokes-equations-adapted-for-1d-quantum-liquids","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2025\/03\/from-classical-to-quantum-navier-stokes-equations-adapted-for-1d-quantum-liquids","title":{"rendered":"From classical to quantum: Navier\u2013Stokes equations adapted for 1D quantum liquids"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/from-classical-to-quantum-navier-stokes-equations-adapted-for-1d-quantum-liquids2.jpg\"><\/a><\/p>\n<p>Although Navier\u2013Stokes equations are the foundation of modern hydrodynamics, adapting them to quantum systems has so far been a major challenge. Researchers from the Faculty of Physics at the University of Warsaw, Maciej \u0141ebek, M.Sc. and Mi\u0142osz Panfil, Ph.D., Prof., have shown that these equations can be generalized to quantum systems, specifically quantum liquids, in which the motion of particles is restricted to one dimension.<\/p>\n<p>This discovery opens up new avenues for research into transport in one-dimensional quantum systems. The resulting paper, <a href=\"https:\/\/link.aps.org\/doi\/10.1103\/PhysRevLett.134.010405\" target=\"_blank\">published<\/a> in <i>Physical Review Letters<\/i>, was awarded an Editors\u2019 Suggestion.<\/p>\n<p>Liquids are among the basic states of matter and play a key role in nature and technology. The equations of hydrodynamics, known as the Navier\u2013Stokes equations, describe their motion and interactions with the environment. Solutions to these equations allow us to predict the behavior of fluids under various conditions, from the <a href=\"https:\/\/phys.org\/tags\/ocean+currents\/\" rel=\"tag\" class=\"\">ocean currents<\/a> and the <a href=\"https:\/\/phys.org\/tags\/blood+flow\/\" rel=\"tag\" class=\"\">blood flow<\/a> in blood vessels, to the dynamics of quark-gluon plasma on subatomic scales.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Although Navier\u2013Stokes equations are the foundation of modern hydrodynamics, adapting them to quantum systems has so far been a major challenge. Researchers from the Faculty of Physics at the University of Warsaw, Maciej \u0141ebek, M.Sc. and Mi\u0142osz Panfil, Ph.D., Prof., have shown that these equations can be generalized to quantum systems, specifically quantum liquids, in [\u2026]<\/p>\n","protected":false},"author":427,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11,41,1617],"tags":[],"class_list":["post-207847","post","type-post","status-publish","format-standard","hentry","category-biotech-medical","category-information-science","category-quantum-physics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/207847","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=207847"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/207847\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=207847"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=207847"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=207847"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}