Compact polymers on fractal lattices
Апстракт
We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self-avoiding walks that visit every site of the lattice, on various fractal lattices: Sierpinski gasket (SG), Given-Mandelbrot family of fractals, modified SG fractals, and n-simplex fractals. Self-similarity of these lattices enables establishing exact recursion relations for the numbers of HWs conveniently divided into several classes. Via analytical and numerical analysis of these relations, we find the asymptotic behaviour of the number of HWs and calculate connectivity constants, as well as critical exponents corresponding to the overall number of open and closed HWs. The nonuniversality of the HW critical exponents, obtained for some homogeneous lattices is confirmed by our results, whereas the scaling relations for the number of HWs, obtained here, are in general different from the relations expected for homogeneous lattices.
Кључне речи:
polymers / fractals / self-avoiding walks / Hamiltonian walksИзвор:
AIP Conference Proceedings, 2007, 899, 598-598Напомена:
- 6th International Conference of the Balkan-Physical-Union, Aug 22-26, 2006, Istanbul, Turkey
Колекције
Институција/група
VinčaTY - CONF AU - Elezović-Hadžić, Sunčica AU - Marcetic, Dusanka AU - Maletić, Slobodan PY - 2007 UR - https://vinar.vin.bg.ac.rs/handle/123456789/6580 AB - We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self-avoiding walks that visit every site of the lattice, on various fractal lattices: Sierpinski gasket (SG), Given-Mandelbrot family of fractals, modified SG fractals, and n-simplex fractals. Self-similarity of these lattices enables establishing exact recursion relations for the numbers of HWs conveniently divided into several classes. Via analytical and numerical analysis of these relations, we find the asymptotic behaviour of the number of HWs and calculate connectivity constants, as well as critical exponents corresponding to the overall number of open and closed HWs. The nonuniversality of the HW critical exponents, obtained for some homogeneous lattices is confirmed by our results, whereas the scaling relations for the number of HWs, obtained here, are in general different from the relations expected for homogeneous lattices. C3 - AIP Conference Proceedings T1 - Compact polymers on fractal lattices VL - 899 SP - 598 EP - 598 UR - https://hdl.handle.net/21.15107/rcub_vinar_6580 ER -
@conference{ author = "Elezović-Hadžić, Sunčica and Marcetic, Dusanka and Maletić, Slobodan", year = "2007", abstract = "We study compact polymers, modelled by Hamiltonian walks (HWs), i.e. self-avoiding walks that visit every site of the lattice, on various fractal lattices: Sierpinski gasket (SG), Given-Mandelbrot family of fractals, modified SG fractals, and n-simplex fractals. Self-similarity of these lattices enables establishing exact recursion relations for the numbers of HWs conveniently divided into several classes. Via analytical and numerical analysis of these relations, we find the asymptotic behaviour of the number of HWs and calculate connectivity constants, as well as critical exponents corresponding to the overall number of open and closed HWs. The nonuniversality of the HW critical exponents, obtained for some homogeneous lattices is confirmed by our results, whereas the scaling relations for the number of HWs, obtained here, are in general different from the relations expected for homogeneous lattices.", journal = "AIP Conference Proceedings", title = "Compact polymers on fractal lattices", volume = "899", pages = "598-598", url = "https://hdl.handle.net/21.15107/rcub_vinar_6580" }
Elezović-Hadžić, S., Marcetic, D.,& Maletić, S.. (2007). Compact polymers on fractal lattices. in AIP Conference Proceedings, 899, 598-598. https://hdl.handle.net/21.15107/rcub_vinar_6580
Elezović-Hadžić S, Marcetic D, Maletić S. Compact polymers on fractal lattices. in AIP Conference Proceedings. 2007;899:598-598. https://hdl.handle.net/21.15107/rcub_vinar_6580 .
Elezović-Hadžić, Sunčica, Marcetic, Dusanka, Maletić, Slobodan, "Compact polymers on fractal lattices" in AIP Conference Proceedings, 899 (2007):598-598, https://hdl.handle.net/21.15107/rcub_vinar_6580 .