{"paper":{"title":"The crossover regime for the weakly asymmetric simple exclusion process","arxiv_id":"1002.1873","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-02-09T15:05:35+00:00","version_compiled":"v3"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. 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location.","hedge":{"p":0.92,"label":"asserted"},"own_p":0.28,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.37,"limitation":0.0,"future_work":0.0,"contribution":0.63,"interpretation":0.0}},{"i":2,"p":0.96,"id":"s2","own":false,"role":"background","text":"One expects a crossover from Gaussian to Tracy-Widom distributed fluctuations.","hedge":{"p":0.89,"label":"hedged_possibility"},"own_p":0.06,"main_claim_p":0.13,"quantitative":false,"quantitative_p":0.27,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.02,"background":0.96,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.02}},{"i":3,"p":0.76,"id":"s3","own":false,"role":"result","text":"The appropriate crossover scale is an asymmetry of order $\\epsilon^{-1/2}$, times of order $\\epsilon^{-2}$, and a spatial location of order $\\epsilon^{-3/2}$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.28,"main_claim_p":0.23,"quantitative":true,"quantitative_p":0.94,"role_probabilities":{"gap":0.0,"method":0.03,"result":0.76,"background":0.09,"limitation":0.0,"future_work":0.0,"contribution":0.09,"interpretation":0.03}},{"i":4,"p":0.98,"id":"s4","own":true,"role":"result","text":"For this parameter window we obtain the limiting distribution function of the integrated current in terms of an integral over the difference of two Fredholm determinants.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.67,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":5,"p":0.98,"id":"s5","own":true,"role":"result","text":"For large times, on the scale $\\epsilon^{-2}$, this distribution function converges to the one of 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