We propose a model of a self-avoiding growing string with excluded volume effects. In this model, the string develops to form a complex shape like a labyrinth. We find simple dynamical scaling relations for several characteristic quantities, including the radius of gyration and radius of curvature.
β¦ LIBER β¦
Shape transformation of a growing string in a plane
β Scribed by Tamotsu Kohyama
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 526 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0378-4371
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## Abstract The 3Dβelasticity model of a solid with a plane crack under the stressβfree boundary conditions at the crack is considered. We investigate variations of a solution and of energy functionals with respect to perturbations of the crack front in the plane. The corresponding expansions at le