Sutapa Mukherji et al 1996 J. Phys. A: Math. Gen. 29 L115 doi:10.1088/0305-4470/29/5/006
Scaling of fluctuation for directed polymers with random interaction
Sutapa Mukherji
,
, Somendra M Bhattacharjee, and A Baumgärtner
LETTER TO THE EDITOR
Using a finite size scaling form for reunion probability, we show numerically the existence of a binding - unbinding transition for directed polymers with random interaction. The cases studied are (A1) two chains in 1 + 1 dimensions, (A2) two chains in 2 + 1 dimensions and (B) three chains in 1 + 1 dimensions. A similar finite size scaling form for fluctuation establishes a disorder-induced transition with identical exponents for cases A2 and B. The length scale exponents in all the three cases are in agreement with previous exact renormalization-group results.
- PACS
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61.41.+e Polymers, elastomers, and plastics
64.60.A- Specific approaches applied to studies of phase transitions
64.60.Cn Order–disorder transformations
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
- MSC
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82B26 Phase transitions (general)
82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.)
- Subjects
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Soft matter, liquids and polymers
- Dates
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Issue 5 (7 March 1996)
Received 4 December 1995
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Scaling of fluctuation for directed polymers with random interaction
Sutapa Mukherji et al 1996 J. Phys. A: Math. Gen. 29 L115
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