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Exact enumeration results for self-avoiding walks on the honeycomb lattice attached to a surface

D Bennett-Wood and A L Owczarek

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We consider self-avoiding walks on the honeycomb lattice interacting with a surface with different energies associated between sites in contact with a linear boundary to the left of the origin and those in contact with the right of the boundary. We numerically confirm recent exact results for the polymer adsorption transition and corresponding critical exponents with mixed ordinary and special boundary conditions. The phase diagram is elucidated with the aid of some rigorous arguments.


PACS

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion

05.70.Jk Critical point phenomena

MSC

82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

82B26 Phase transitions (general)

82B27 Critical phenomena

Subjects

Statistical physics and nonlinear systems

Dates

Issue 16 (21 August 1996)

Received 27 November 1995, in final form 29 February 1996



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