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New renormalization group results for scaling of self-avoiding tethered membranes |
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| Institution: | 1. Department of Mechanical Engineering, University of Houston, Houston, TX 77204, USA;2. Department of Aerospace Engineering and Engineering mechanics, University of Texas, Austin, TX 78712, USA;3. Department of Physics, University of Houston, Houston, TX 77204, USA;1. School of Management Science and Real Estate, Chongqing University, Chongqing 400044, China;2. Research Center for Construction Economy and Management, Chongqing University, Chongqing 400044, China;3. School of Geographical Sciences, Southwest University, Chongqing 400715, China |
| Abstract: | The scaling properties of self-avoiding polymerized two-dimensional membranes are studied via renormalization group methods based on a multilocal operator product expansion. The renormalization group functions are calculated to second order. This yields the scaling exponent ν to order ε2 Our extrapolations for ν agree with the Gaussian variational estimate for large space dimension d and are close to the Flory estimate for d = 3. The interplay between self-avoidance and rigidity at small d is briefly discussed. |
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