{"id":318638,"date":"2016-11-08T18:46:38","date_gmt":"2016-11-09T02:46:38","guid":{"rendered":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/?post_type=msr-research-item&#038;p=318638"},"modified":"2018-10-16T20:10:53","modified_gmt":"2018-10-17T03:10:53","slug":"new-method-determine-first-order-transition-points-finite-size-data","status":"publish","type":"msr-research-item","link":"https:\/\/newed.any0.dpdns.org\/en-us\/research\/publication\/new-method-determine-first-order-transition-points-finite-size-data\/","title":{"rendered":"A New Method to Determine First-Order Transition Points from Finite-Size Data"},"content":{"rendered":"<p>We consider a temperature driven first-order phase transition describing the coexistence of q ordered low-temperature phases and one disordered high-temperature phase at the in\fnite volume transition temperature T0. Analysing the exponential corrections to the usual heuristic formula of the periodic partition function in a box of volume V; Zper = P m exp(????\ffmV ), where \f = 1=kBT and fm is the (metastable) free energy of the phase m, we propose several de\ffinitions of a \fnite volume transition temperature T0(V ) which involve only exponential corrections with respect to T0. We test our propositions in the d = 2 Potts model for q = 5; 8 and 10 by means of Monte Carlo simulations, using the single cluster update procedure.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We consider a temperature driven first-order phase transition describing the coexistence of q ordered low-temperature phases and one disordered high-temperature phase at the in\fnite volume transition temperature T0. Analysing the exponential corrections to the usual heuristic formula of the periodic partition function in a box of volume V; Zper = P m exp(????\ffmV ), where [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"Phys. Rev. Lett.","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"Phys. Rev. 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