Transfer matrix calculation of the exponent ? for two-dimensional self-avoiding walks | Zendy

Hubert Saleur | Zendy; Bernard Derrida | Zendy

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Transfer matrix calculation of the exponent ? for two-dimensional self-avoiding walks

Author(s) -

Hubert Saleur,

Bernard Derrida

Publication year - 1986

Publication title -

journal of statistical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.71

H-Index - 115

eISSN - 1572-9613

pISSN - 0022-4715

DOI - 10.1007/bf01010914

Subject(s) - exponent , transfer matrix , transfer matrix method (optics) , matrix (chemical analysis) , distribution (mathematics) , conformal map , order (exchange) , statistical physics , transfer (computing) , mathematics , mathematical analysis , physics , quantum mechanics , computer science , philosophy , linguistics , materials science , finance , parallel computing , economics , composite material , computer vision

We develop two independent transfer matrix methods for the determination of the exponentγ in the two-dimensional, self-avoiding walk problem. Our first method is based on the calculation of the correlation length and uses conformal invariance. Our second method is based on the direct calculation of the moments of the order parameter distribution. Our results are in good agreement with the conjectured values.

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