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|a (NLM)11088374
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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| 100 |
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|a Brunet, E
|e verfasserin
|4 aut
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|a Probability distribution of the free energy of a directed polymer in a random medium
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|c 2000
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|a Text
|b txt
|2 rdacontent
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|a ohne Hilfsmittel zu benutzen
|b n
|2 rdamedia
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|a Band
|b nc
|2 rdacarrier
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|a Date Completed 22.12.2000
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|a Date Revised 28.07.2019
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|a published: Print
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|a Citation Status PubMed-not-MEDLINE
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|a We calculate exactly the first cumulants of the free energy of a directed polymer in a random medium for the geometry of a cylinder. By using the fact that the nth moment <Z(n)> of the partition function is given by the ground-state energy of a quantum problem of n interacting particles on a ring of length L, we write an integral equation allowing to expand these moments in powers of the strength of the disorder gamma or in powers of n. For n small and n approximately (Lgamma)(-1/2), the moments <Z(n)> take a scaling form which allows us to describe all the fluctuations of order 1/L of the free energy per unit length of the directed polymer. The distribution of these fluctuations is the same as the one found recently in the asymmetric exclusion process, indicating that it is characteristic of all the systems described by the Kardar-Parisi-Zhang equation in 1+1 dimensions
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|a Journal Article
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|a Derrida, B
|e verfasserin
|4 aut
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| 773 |
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8 |
|i Enthalten in
|t Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
|d 1993
|g 61(2000), 6 Pt B vom: 27. Juni, Seite 6789-801
|w (DE-627)NLM098226002
|x 1063-651X
|7 nnns
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| 773 |
1 |
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|g volume:61
|g year:2000
|g number:6 Pt B
|g day:27
|g month:06
|g pages:6789-801
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|a GBV_ILN_350
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|a AR
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|d 61
|j 2000
|e 6 Pt B
|b 27
|c 06
|h 6789-801
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