{"id":1021,"date":"2017-05-31T22:41:28","date_gmt":"2017-05-31T22:41:28","guid":{"rendered":"http:\/\/physics-complex-systems.fr\/?p=1021"},"modified":"2017-06-30T09:23:14","modified_gmt":"2017-06-30T09:23:14","slug":"numerical-simulations","status":"publish","type":"post","link":"https:\/\/physics-complex-systems.fr\/en\/numerical-simulations.html","title":{"rendered":"Numerical simulations"},"content":{"rendered":"

[vc_row][vc_column css=”.vc_custom_1496399944725{margin-top: -40px !important;margin-bottom: -20px !important;}”][vc_separator][\/vc_column][\/vc_row][vc_row][vc_column width=”1\/2″][vc_column_text]<\/p>\n

Six decades after the first simulation\u00a0in physics, simulations\u00a0became a tool that have invaded all fields of sciences. The lecture starts by an\u00a0overview of basic methods of molecular dynamics and Monte-Carlo simulations. In a second part, we consider various observables that are available in simulations. A third part is dedicated to the investigation of phase transitions by implementing finite size analysis, reweighting method, as well as several advanced Monte-Carlo methods (tempering, Wang-Landau, cluster algorithm). In a fourth part, we consider small systems with Brownian dynamics\u00a0and the relevant role of fluctuations in the framework of large deviation function, fluctuation theorems and stochastic thermodynamics. In the last part, we propose an introduction to non-equilibrium simulations by considering some paradigmatic models and simulation methods for non Hamiltonian systems.<\/div>\n
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Bibliography<\/strong><\/div>\n
    \n
  • Understanding Molecular Simulation\u2013From Algorithms to Applications<\/em>.\u00a0D. Frenkel & B. Smit,\u00a0Academic Press.<\/li>\n
  • Stochastic Energetics<\/em>. K. Sekimoto, Springer.<\/li>\n
  • A Guide to Monte Carlo Simulations in Statistical Physics<\/em>.\u00a0D. P. Landau & K. Binder,\u00a0Cambridge University Press.<\/li>\n<\/ul>\n

    [\/vc_column_text][vc_column_text]\"\"Pascal\u00a0 Viot
    \n(Universit\u00e9 Pierre et Marie Curie)[\/vc_column_text][\/vc_column][vc_column width=”1\/2″][vc_single_image image=”1030″ img_size=”full” alignment=”right”][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text]<\/p>\n

    Keywords : brownian dynamics<\/span> cluster algorithms<\/span> Molecular Dynamics<\/span> Monte-Carlo<\/span> out of equilibrium systems<\/span> small systems<\/span><\/div>\n

    [\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n","protected":false},"excerpt":{"rendered":"

    [vc_row][vc_column css=”.vc_custom_1496399944725{margin-top: -40px !important;margin-bottom: -20px !important;}”][vc_separator][\/vc_column][\/vc_row][vc_row][vc_column width=”1\/2″][vc_column_text] Six decades after the first simulation\u00a0in physics, simulations\u00a0became a tool that have invaded all fields of sciences. The…<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[36,11,10],"tags":[47,48,46,24,50,49],"translation":{"provider":"WPGlobus","version":"2.12.2","language":"en","enabled_languages":["fr","en"],"languages":{"fr":{"title":true,"content":true,"excerpt":false},"en":{"title":false,"content":false,"excerpt":false}}},"_links":{"self":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts\/1021"}],"collection":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/comments?post=1021"}],"version-history":[{"count":12,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts\/1021\/revisions"}],"predecessor-version":[{"id":2608,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts\/1021\/revisions\/2608"}],"wp:attachment":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/media?parent=1021"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/categories?post=1021"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/tags?post=1021"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}