Potts model,Dirac propagator,and conformational statistics of semiflexible polymers |
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Authors: | Arkady L Kholodenko |
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Institution: | (1) 375 H. L. Hunter Laboratories, Clemson University, 29634-1905 Clemson, South Carolina |
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Abstract: | A new discretized version of the Dirac propagator ind space and one time dimensions is obtained with the help of the 2d-state, one-dimensional Potts model. The Euclidean version of this propagator describes all conformational properties of semiflexible polymers. It also describes all properties of fully directed self-avoiding walks. The case of semiflexible copolymers composed of a random sequence of fully flexible and semirigid monomer units is also considered. As a by-product, some new results for disordered one-dimensional Ising and Potts models are obtained. In the case of the Potts model the nontrivial extension of the results to higher dimensions is discussed briefly. |
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Keywords: | Ising model Potts model directed self-avoiding walks Dirac propagator conformational statistics of semiflexible polymers |
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