[{"publication":" Journal of Statistical Mechanics: Theory and Experiment","oa_version":"Submitted Version","project":[{"call_identifier":"FP7","_id":"25681D80-B435-11E9-9278-68D0E5697425","grant_number":"291734","name":"International IST Postdoc Fellowship Programme"}],"month":"09","article_number":"093404","language":[{"iso":"eng"}],"date_published":"2017-09-26T00:00:00Z","type":"journal_article","publication_identifier":{"issn":["17425468"]},"publist_id":"6826","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1705.06303"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","status":"public","_id":"823","scopus_import":"1","author":[{"full_name":"Colabrese, Simona","first_name":"Simona","last_name":"Colabrese"},{"id":"3FF5848A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-5214-4706","full_name":"De Martino, Daniele","first_name":"Daniele","last_name":"De Martino"},{"full_name":"Leuzzi, Luca","first_name":"Luca","last_name":"Leuzzi"},{"last_name":"Marinari","first_name":"Enzo","full_name":"Marinari, Enzo"}],"issue":"9","publication_status":"published","article_processing_charge":"No","date_created":"2018-12-11T11:48:41Z","department":[{"_id":"GaTk"}],"title":"Phase transitions in integer linear problems","intvolume":"      2017","ec_funded":1,"quality_controlled":"1","publisher":"IOPscience","date_updated":"2023-09-26T16:18:12Z","year":"2017","citation":{"short":"S. Colabrese, D. De Martino, L. Leuzzi, E. Marinari,  Journal of Statistical Mechanics: Theory and Experiment 2017 (2017).","mla":"Colabrese, Simona, et al. “Phase Transitions in Integer Linear Problems.” <i> Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2017, no. 9, 093404, IOPscience, 2017, doi:<a href=\"https://doi.org/10.1088/1742-5468/aa85c3\">10.1088/1742-5468/aa85c3</a>.","ista":"Colabrese S, De Martino D, Leuzzi L, Marinari E. 2017. Phase transitions in integer linear problems.  Journal of Statistical Mechanics: Theory and Experiment. 2017(9), 093404.","apa":"Colabrese, S., De Martino, D., Leuzzi, L., &#38; Marinari, E. (2017). Phase transitions in integer linear problems. <i> Journal of Statistical Mechanics: Theory and Experiment</i>. IOPscience. <a href=\"https://doi.org/10.1088/1742-5468/aa85c3\">https://doi.org/10.1088/1742-5468/aa85c3</a>","ama":"Colabrese S, De Martino D, Leuzzi L, Marinari E. Phase transitions in integer linear problems. <i> Journal of Statistical Mechanics: Theory and Experiment</i>. 2017;2017(9). doi:<a href=\"https://doi.org/10.1088/1742-5468/aa85c3\">10.1088/1742-5468/aa85c3</a>","chicago":"Colabrese, Simona, Daniele De Martino, Luca Leuzzi, and Enzo Marinari. “Phase Transitions in Integer Linear Problems.” <i> Journal of Statistical Mechanics: Theory and Experiment</i>. IOPscience, 2017. <a href=\"https://doi.org/10.1088/1742-5468/aa85c3\">https://doi.org/10.1088/1742-5468/aa85c3</a>.","ieee":"S. Colabrese, D. De Martino, L. Leuzzi, and E. Marinari, “Phase transitions in integer linear problems,” <i> Journal of Statistical Mechanics: Theory and Experiment</i>, vol. 2017, no. 9. IOPscience, 2017."},"isi":1,"external_id":{"isi":["000411842900001"]},"doi":"10.1088/1742-5468/aa85c3","day":"26","abstract":[{"text":"The resolution of a linear system with positive integer variables is a basic yet difficult computational problem with many applications. We consider sparse uncorrelated random systems parametrised by the density c and the ratio α=N/M between number of variables N and number of constraints M. By means of ensemble calculations we show that the space of feasible solutions endows a Van-Der-Waals phase diagram in the plane (c, α). We give numerical evidence that the associated computational problems become more difficult across the critical point and in particular in the coexistence region.","lang":"eng"}],"volume":2017},{"publication":"Journal of Statistical Mechanics Theory and Experiment","oa_version":"Submitted Version","article_number":"P02001","month":"02","language":[{"iso":"eng"}],"type":"journal_article","date_published":"2014-02-01T00:00:00Z","publication_identifier":{"issn":["17425468"]},"publist_id":"4729","oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1403.4516"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","_id":"2232","issue":"2","author":[{"id":"a79e57f5-e8a5-11ec-9dc9-83fb8c81cf72","full_name":"Song, Baofang","first_name":"Baofang","last_name":"Song"},{"orcid":"0000-0003-2057-2754","full_name":"Hof, Björn","first_name":"Björn","last_name":"Hof","id":"3A374330-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","date_created":"2018-12-11T11:56:28Z","department":[{"_id":"BjHo"}],"publication_status":"published","intvolume":"      2014","title":"Deterministic and stochastic aspects of the transition to turbulence","quality_controlled":"1","publisher":"IOP Publishing","article_type":"original","year":"2014","citation":{"mla":"Song, Baofang, and Björn Hof. “Deterministic and Stochastic Aspects of the Transition to Turbulence.” <i>Journal of Statistical Mechanics Theory and Experiment</i>, vol. 2014, no. 2, P02001, IOP Publishing, 2014, doi:<a href=\"https://doi.org/10.1088/1742-5468/2014/02/P02001\">10.1088/1742-5468/2014/02/P02001</a>.","short":"B. Song, B. Hof, Journal of Statistical Mechanics Theory and Experiment 2014 (2014).","ista":"Song B, Hof B. 2014. Deterministic and stochastic aspects of the transition to turbulence. Journal of Statistical Mechanics Theory and Experiment. 2014(2), P02001.","apa":"Song, B., &#38; Hof, B. (2014). Deterministic and stochastic aspects of the transition to turbulence. <i>Journal of Statistical Mechanics Theory and Experiment</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1742-5468/2014/02/P02001\">https://doi.org/10.1088/1742-5468/2014/02/P02001</a>","ama":"Song B, Hof B. Deterministic and stochastic aspects of the transition to turbulence. <i>Journal of Statistical Mechanics Theory and Experiment</i>. 2014;2014(2). doi:<a href=\"https://doi.org/10.1088/1742-5468/2014/02/P02001\">10.1088/1742-5468/2014/02/P02001</a>","chicago":"Song, Baofang, and Björn Hof. “Deterministic and Stochastic Aspects of the Transition to Turbulence.” <i>Journal of Statistical Mechanics Theory and Experiment</i>. IOP Publishing, 2014. <a href=\"https://doi.org/10.1088/1742-5468/2014/02/P02001\">https://doi.org/10.1088/1742-5468/2014/02/P02001</a>.","ieee":"B. Song and B. Hof, “Deterministic and stochastic aspects of the transition to turbulence,” <i>Journal of Statistical Mechanics Theory and Experiment</i>, vol. 2014, no. 2. IOP Publishing, 2014."},"date_updated":"2022-06-10T10:13:15Z","external_id":{"arxiv":["1403.4516"]},"day":"01","arxiv":1,"doi":"10.1088/1742-5468/2014/02/P02001","abstract":[{"lang":"eng","text":"The purpose of this contribution is to summarize and discuss recent advances regarding the onset of turbulence in shear flows. The absence of a clear-cut instability mechanism, the spatio-temporal intermittent character and extremely long lived transients are some of the major difficulties encountered in these flows and have hindered progress towards understanding the transition process. We will show for the case of pipe flow that concepts from nonlinear dynamics and statistical physics can help to explain the onset of turbulence. In particular, the turbulent structures (puffs) observed close to onset are spatially localized chaotic transients and their lifetimes increase super-exponentially with Reynolds number. At the same time fluctuations of individual turbulent puffs can (although very rarely) lead to the nucleation of new puffs. The competition between these two stochastic processes gives rise to a non-equilibrium phase transition where turbulence changes from a super-transient to a sustained state."}],"volume":2014}]