Self-avoiding walk model for proteins: a real space renormalisation group treatment

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Abstract
Diffusion on the model for proteins introduced by Helman, Coniglio and Tsallis (1984) (HCT) is discussed using real space renormalisation group ideas. The authors perform cell-to-cell transformations in two dimensions for both the HCT model and the self-avoiding walk. The latter system is quasi-linear and so they expect trivial diffusive behaviour given by dw=2df=8/3. Diffusion on the HCT model however is complicated by the possibility of jumps across nearest-neighbour (hydrogen bond) 'bridges': the authors' results are not consistent with the prediction that dw=2 for the HCT model; rather they support the assertion that dwHCT is close to but slightly greater than dwSAW.

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