{"id":2541,"date":"2021-08-31T14:44:27","date_gmt":"2021-08-31T14:44:27","guid":{"rendered":"http:\/\/lptms.u-psud.fr\/christophe_texier\/?page_id=2541"},"modified":"2026-01-09T13:45:47","modified_gmt":"2026-01-09T13:45:47","slug":"m2-icfp-advanced-statistical-physics","status":"publish","type":"page","link":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/enseignements\/enseignements-en-master\/m2-icfp-advanced-statistical-physics\/","title":{"rendered":"M2 iCFP &#8211; Advanced statistical physics (Soft Matter track)"},"content":{"rendered":"<p>Lectures for the \u00ab\u00a0<strong>Soft Matter &amp; physics for biology\u00a0\u00bb<\/strong> track of the <a href=\"https:\/\/www.phys.ens.psl.eu\/fr\/formations\/m2-icfp\">Master 2 iCFP<\/a><\/p>\n<p><strong>Lectures :<\/strong> Christophe Texier (LPTMS, UPSay)<\/p>\n<p><strong>Tutorials :<\/strong> <a href=\"http:\/\/www.insp.upmc.fr\/Jean-Noel-Aqua.html\">Jean-No\u00ebl Aqua<\/a> (INSP, SU)<\/p>\n<ul>\n<li>Lectures at SU, 8h30-12h45<br \/>\n<span style=\"color: #999999\">september &amp; october : room 107, tower 14-15<\/span><br \/>\nnovember &amp; december : room 101, tower 24-34<\/li>\n<li>12 weeks<br \/>\n1st lecture : friday 12 september<br \/>\n27-31 october : iCFP break ; 3-7 november : visit labs weak<br \/>\nlast lecture : friday 12 december<\/li>\n<li>exam : friday 9 january 2026, 9h-12h<\/li>\n<\/ul>\n<h3>Program<\/h3>\n<ul>\n<li><span style=\"color: #0000ff\"><strong>PART 1 : out-of-equilibrium statistical physics<\/strong><\/span><br \/>\n&#8211; Phenomenological description and stochastic processes (Langevin and Fokker-Planck approaches,&#8230;)<br \/>\n&#8211; Linear response theory (correlation and response functions, fluctuation-dissipation,&#8230;)<\/li>\n<li><span style=\"color: #0000ff\"><strong>PART 2 : phase transitions and critical phenomena<\/strong><\/span><br \/>\n&#8211; Mean field (Landau and Landau-Ginzburg approaches,&#8230;)<br \/>\n&#8211; Fluctuations and the limits of mean field<br \/>\n&#8211; Universality and scaling, renormalisation<\/li>\n<\/ul>\n<h3>Lecture notes<\/h3>\n<p style=\"padding-left: 30px\"><a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2024\/09\/asp-lecture.pdf\">Lecture notes<\/a> (<span style=\"color: #ff0000\">15\/12\/2025<\/span>) <span style=\"color: #999999\"> <small>(refresh your browser)<\/small><\/span><\/p>\n<h3>Tutorials<\/h3>\n<ul>\n<li>TD 1 : Langevin model and random processes<\/li>\n<li>TD 2 :\u00a0Master equation<\/li>\n<li>TD 3 : Correlations and fluctuations<\/li>\n<li>TD 4 : Fokker-Planck approach<\/li>\n<li>TD 5 : Random walks<\/li>\n<li>TD 6 : FPE and SDE<\/li>\n<li>TD 7 : Phase separation<\/li>\n<li>TD 8 : Mean field &#8211; Demixing transition<\/li>\n<li>TD 9 : Mean-field Debye-H\u00fcckel theory for charged fluids<\/li>\n<li>TD 10 : Ginzburg-Landau mean field approach<\/li>\n<li>TD 11 : Real space renormalization for the Ising model<\/li>\n<\/ul>\n<p style=\"padding-left: 30px\"><a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2025\/09\/TD-2025-2026-AdvStatPhys.pdf\"> tutorials (pdf)<\/a><\/p>\n<h3>Exams<code><\/code><\/h3>\n<ul>\n<li>january 2022 : <a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2022\/01\/asp-exam2201.pdf\">exam<\/a> and <a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2022\/01\/asp-exam2201_corr.pdf\">correction<\/a><\/li>\n<li>january 2023 : <a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2023\/01\/asp-exam2301.pdf\">exam<\/a> and <a href=\"http:\/\/lptms.u-psud.fr\/christophe_texier\/files\/2023\/01\/asp-exam2301-corr.pdf\">correction<\/a><\/li>\n<li>january 2024 : <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2024\/09\/asp-exam2401-without-pb1.pdf\">exam<\/a> and <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2024\/09\/asp-exam2401-corr-without-pb1.pdf\">correction<\/a><\/li>\n<li>january 2025 : <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2025\/01\/asp-exam2501-suj.pdf\">exam<\/a> and <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2025\/01\/asp-exam2501-corr.pdf\">correction<\/a><\/li>\n<li>january 2026 : <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2026\/01\/asp-exam2601-suj.pdf\">exam<\/a> and <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/files\/2026\/01\/asp-exam2601-corr.pdf\">correction<\/a><\/li>\n<\/ul>\n<h3>Bibliography<\/h3>\n<h4><span style=\"color: #0000ff\">For part 1:<\/span><\/h4>\n<ul>\n<li>D. Chandler, <em>Introduction to modern statistical mechanics<\/em>, Oxford, 1987<\/li>\n<li>L. Landau &amp; E. Lifshitz, <em>Statistical physics<\/em>, volume 5, Mir, 1966<\/li>\n<li>M. Le Bellac, F. Mortessagne &amp; G. Batrouni, <em>Equilibrium and non-equilibrium statistical thermodynamnics<\/em>, Cambridge, 2004<\/li>\n<li>N. Pottier, <em>Nonequilibrium statistical physics: linear irreversible processes<\/em>, Oxford, 2009<\/li>\n<\/ul>\n<p>on stochastic processes:<\/p>\n<ul>\n<li>C. W. Gardiner, <em>Handbook of stochastic methods for physics, chemistry and the natural sciences<\/em>, Springer, 1989<\/li>\n<li>H. Risken, <em>The Fokker-Planck equation<\/em>, Springer, 1989<\/li>\n<li>N. G. van Kampen, <em>Stochastic processes in physics and chemistry<\/em>, North-Holland, 1992<\/li>\n<\/ul>\n<h4><span style=\"color: #0000ff\">For part 2:<\/span><\/h4>\n<p>an introduction (the beginning of the lectures)<\/p>\n<ul>\n<li>C. Texier &amp; G. Roux, <em>Physique statistique,<\/em> Dunod, 2024, 2nde edition \u2192 chapter 10<\/li>\n<li>C. Texier &amp; G. Roux, <em>Physique statistique en pratique &#8211; 52 probl\u00e8mes corrig\u00e9s avec r\u00e9sum\u00e9 du cours<\/em>, Dunod, 2025<\/li>\n<\/ul>\n<p>two synthetic books, very well written:<\/p>\n<ul>\n<li>Edouard Br\u00e9zin, <em>Introduction to statistical field theory<\/em>, Cambridge University Press<\/li>\n<li>John\u00a0 Cardy, <em>Scaling and renormalization in statistical physics<\/em>, Cambridge University Press<\/li>\n<\/ul>\n<p>Two other excellent books:<\/p>\n<ul>\n<li>R. K. Pathria &amp; P. D. Beale, <em>Statistical Physics<\/em>, 3rd ed. Academic Press<\/li>\n<li>Nigel Goldenfeld, <em>Lectures on phase transitions and the renormalizationg group<\/em>, ABP<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Lectures for the \u00ab\u00a0Soft Matter &amp; physics for biology\u00a0\u00bb track of the Master 2 iCFP Lectures : Christophe Texier (LPTMS, UPSay) Tutorials : Jean-No\u00ebl Aqua (INSP, SU) Lectures at SU, 8h30-12h45 september &amp; october : room 107, tower 14-15 november &hellip; <a href=\"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/enseignements\/enseignements-en-master\/m2-icfp-advanced-statistical-physics\/\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"parent":11,"menu_order":5,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2541","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/pages\/2541","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/comments?post=2541"}],"version-history":[{"count":98,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/pages\/2541\/revisions"}],"predecessor-version":[{"id":3150,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/pages\/2541\/revisions\/3150"}],"up":[{"embeddable":true,"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/pages\/11"}],"wp:attachment":[{"href":"http:\/\/www.lptms.universite-paris-saclay.fr\/christophe_texier\/wp-json\/wp\/v2\/media?parent=2541"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}