Matches in SemOpenAlex for { <https://semopenalex.org/work/W3098581580> ?p ?o ?g. }
- W3098581580 endingPage "963" @default.
- W3098581580 startingPage "937" @default.
- W3098581580 abstract "We obtain an exact result for the midpoint probability distribution function (pdf) of the stationary continuum directed polymer, when averaged over the disorder. It is obtained by relating that pdf to the linear response of the stochastic Burgers field to some perturbation. From the symmetries of the stochastic Burgers equation we derive a fluctuation–dissipation relation so that the pdf gets given by the stationary two space-time points correlation function of the Burgers field. An analytical expression for the latter was obtained by Imamura and Sasamoto (J Stat Phys 150:908–939, 2013), thereby rendering our result explicit. In the large length limit that implies that the pdf is nothing but the scaling function $$f_{mathrm{KPZ}}(y)$$ introduced by Prähofer and Spohn (J Stat Phys 115(1):255–279, 2004). Using the KPZ-universality paradigm, we find that this function can therefore also be interpreted as the pdf of the position y of the maximum of the Airy process minus a parabola and a two-sided Brownian motion. We provide a direct numerical test of the result through simulations of the Log-Gamma polymer." @default.
- W3098581580 created "2020-11-23" @default.
- W3098581580 creator A5027454924 @default.
- W3098581580 creator A5053637896 @default.
- W3098581580 date "2017-07-14" @default.
- W3098581580 modified "2023-09-30" @default.
- W3098581580 title "Midpoint Distribution of Directed Polymers in the Stationary Regime: Exact Result Through Linear Response" @default.
- W3098581580 cites W1566517620 @default.
- W3098581580 cites W1657846993 @default.
- W3098581580 cites W1677703250 @default.
- W3098581580 cites W1708894479 @default.
- W3098581580 cites W1740198953 @default.
- W3098581580 cites W1866199233 @default.
- W3098581580 cites W1966222042 @default.
- W3098581580 cites W1969065503 @default.
- W3098581580 cites W1973118293 @default.
- W3098581580 cites W1973188833 @default.
- W3098581580 cites W1974120868 @default.
- W3098581580 cites W1979558859 @default.
- W3098581580 cites W1979913454 @default.
- W3098581580 cites W1984842125 @default.
- W3098581580 cites W1987330150 @default.
- W3098581580 cites W1987902931 @default.
- W3098581580 cites W1989774396 @default.
- W3098581580 cites W1990056747 @default.
- W3098581580 cites W1990849136 @default.
- W3098581580 cites W1992096679 @default.
- W3098581580 cites W1992118529 @default.
- W3098581580 cites W1997477510 @default.
- W3098581580 cites W2002237201 @default.
- W3098581580 cites W2015857119 @default.
- W3098581580 cites W2016850222 @default.
- W3098581580 cites W2018681324 @default.
- W3098581580 cites W2020243869 @default.
- W3098581580 cites W2020716303 @default.
- W3098581580 cites W2022563476 @default.
- W3098581580 cites W2023716047 @default.
- W3098581580 cites W2024281205 @default.
- W3098581580 cites W2038758925 @default.
- W3098581580 cites W2040109383 @default.
- W3098581580 cites W2047722015 @default.
- W3098581580 cites W2055437742 @default.
- W3098581580 cites W2057763268 @default.
- W3098581580 cites W2065067590 @default.
- W3098581580 cites W2072790958 @default.
- W3098581580 cites W2073938013 @default.
- W3098581580 cites W2087496472 @default.
- W3098581580 cites W2090457673 @default.
- W3098581580 cites W2091957196 @default.
- W3098581580 cites W2092050018 @default.
- W3098581580 cites W2115139070 @default.
- W3098581580 cites W2121288845 @default.
- W3098581580 cites W2140165772 @default.
- W3098581580 cites W2142028957 @default.
- W3098581580 cites W2149433831 @default.
- W3098581580 cites W2154421583 @default.
- W3098581580 cites W2227941271 @default.
- W3098581580 cites W2396835453 @default.
- W3098581580 cites W2491953512 @default.
- W3098581580 cites W2585339115 @default.
- W3098581580 cites W2618957510 @default.
- W3098581580 cites W2942921447 @default.
- W3098581580 cites W2963868111 @default.
- W3098581580 cites W2977474616 @default.
- W3098581580 cites W3098238344 @default.
- W3098581580 cites W3098417493 @default.
- W3098581580 cites W3098548805 @default.
- W3098581580 cites W3098607333 @default.
- W3098581580 cites W3099576917 @default.
- W3098581580 cites W3100333039 @default.
- W3098581580 cites W3100938350 @default.
- W3098581580 cites W3101900497 @default.
- W3098581580 cites W3102849502 @default.
- W3098581580 cites W3104119350 @default.
- W3098581580 cites W3105945411 @default.
- W3098581580 cites W4211033058 @default.
- W3098581580 cites W4240520846 @default.
- W3098581580 cites W4256460009 @default.
- W3098581580 cites W2009487860 @default.
- W3098581580 doi "https://doi.org/10.1007/s10955-017-1839-2" @default.
- W3098581580 hasPublicationYear "2017" @default.
- W3098581580 type Work @default.
- W3098581580 sameAs 3098581580 @default.
- W3098581580 citedByCount "7" @default.
- W3098581580 countsByYear W30985815802017 @default.
- W3098581580 countsByYear W30985815802019 @default.
- W3098581580 countsByYear W30985815802020 @default.
- W3098581580 countsByYear W30985815802021 @default.
- W3098581580 countsByYear W30985815802022 @default.
- W3098581580 countsByYear W30985815802023 @default.
- W3098581580 crossrefType "journal-article" @default.
- W3098581580 hasAuthorship W3098581580A5027454924 @default.
- W3098581580 hasAuthorship W3098581580A5053637896 @default.
- W3098581580 hasBestOaLocation W30985815802 @default.
- W3098581580 hasConcept C105795698 @default.
- W3098581580 hasConcept C112401455 @default.
- W3098581580 hasConcept C121332964 @default.
- W3098581580 hasConcept C121864883 @default.