We consider the problem of the universality of growth rules in fractal-growth models and introduce a theoretical scheme that allows us to address this question. In particular we show that growth defined per site and rules that include diagonal process renormalize asymptotically into effective growth rules of simple bond type. Therefore, we identify the general nature of the asymptotic, scale-invariant growth dynamics for coarse-grained variables.
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Univ Chicago, James Franck Inst, Chicago, IL 60637 USA
Univ Chicago, Inst Biophys Dynam, Chicago, IL 60637 USAUniv Chicago, James Franck Inst, Chicago, IL 60637 USA
Iyer-Biswas, Srividya
Crooks, Gavin E.
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Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Phys Biosci Div, Berkeley, CA 94720 USAUniv Chicago, James Franck Inst, Chicago, IL 60637 USA
Crooks, Gavin E.
Scherer, Norbert F.
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Univ Chicago, James Franck Inst, Chicago, IL 60637 USA
Univ Chicago, Inst Biophys Dynam, Chicago, IL 60637 USAUniv Chicago, James Franck Inst, Chicago, IL 60637 USA
Scherer, Norbert F.
Dinner, Aaron R.
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Univ Chicago, James Franck Inst, Chicago, IL 60637 USA
Univ Chicago, Inst Biophys Dynam, Chicago, IL 60637 USAUniv Chicago, James Franck Inst, Chicago, IL 60637 USA
机构:
PSL Res Univ, CNRS, Ecole Normale Super, Dept Phys, 24 rue Lhomond, F-75005 Paris, FrancePSL Res Univ, CNRS, Ecole Normale Super, Dept Phys, 24 rue Lhomond, F-75005 Paris, France
De Nardis, Jacopo
Le Doussal, Pierre
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PSL Res Univ, Ecole Normale Super, CNRS LPTENS, 24 rue Lhomond, F-75005 Paris, FrancePSL Res Univ, CNRS, Ecole Normale Super, Dept Phys, 24 rue Lhomond, F-75005 Paris, France
Le Doussal, Pierre
Takeuchi, Kazumasa A.
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Tokyo Inst Technol, Dept Phys, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528551, JapanPSL Res Univ, CNRS, Ecole Normale Super, Dept Phys, 24 rue Lhomond, F-75005 Paris, France