{"657030":{"#nid":"657030","#data":{"type":"event","title":"Feynman rules for wave turbulence","body":[{"value":"\u003Ch3\u003ESchool of Physics, Nonlinear Seminar - Dr. Vladimir Rosenhaus - CUNY Graduate Center, NY\u003C\/h3\u003E\r\n\r\n\u003Cp\u003EIt has long been known that weakly nonlinear field theories can have a late-time stationary state that is not the thermal state, but a wave turbulent state (the Kolmogorov-Zakharov state) with a far-from-equilibrium cascade of energy. We go beyond the existence of the wave turbulent state, studying fluctuations about the wave turbulent state. Specifically, we take a classical field theory with an arbitrary quartic interaction and add dissipation and Gaussian-random forcing. Employing the path integral relation\u0026nbsp; between stochastic classical field theories and quantum field theories, we give a prescription, in terms of\u0026nbsp; Feynman diagrams, for computing correlation functions in this system.\u0026nbsp; We explicitly compute the two-point and four-point functions of the field to next-to-leading order in the coupling. Through an appropriate choice of forcing and dissipation, these correspond to correlation functions in the wave turbulent state. As a check, we\u0026nbsp; reproduce the next-to-leading order term in the kinetic equation. \u0026nbsp;The correlation functions and corrections to the KZ state that we compute should, in principle, be experimentally measurable quantities.\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Ca href=\u0022https:\/\/ar5iv.org\/abs\/2203.08168\u0022\u003Ear5iv.org\/abs\/2203.08168\u003C\/a\u003E\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"School of Physics, Nonlinear Science Webinar - Dr. Vladimir Rosenhaus - CUNY Graduate Center, NY"}],"uid":"30957","created_gmt":"2022-04-06 16:24:17","changed_gmt":"2022-04-07 16:52:31","author":"Shaun Ashley","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2022-04-12T12:00:00-04:00","event_time_end":"2022-04-12T13:00:00-04:00","event_time_end_last":"2022-04-12T13:00:00-04:00","gmt_time_start":"2022-04-12 16:00:00","gmt_time_end":"2022-04-12 17:00:00","gmt_time_end_last":"2022-04-12 17:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[],"categories":[],"keywords":[{"id":"960","name":"physics"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[{"id":"78761","name":"Faculty\/Staff"},{"id":"177814","name":"Postdoc"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cp\u003Epredrag.cvitanovic@physics.gatech.edu\u003C\/p\u003E\r\n","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}