Objective The scaling properties of long flexible polymer chains in good solvent are perfectly described within a model of a self-avoiding walk (SAW) on a regular lattice. The question of a great interest is the influence of the structural disorder of the lattice on the universal properties of a SAW. In the given project, we will be interested in the special case, when disordered lattice is exactly at the percolation threshold so that the SAW is allowed to have its steps only on the percolation cluster, having the fr actal structure. Up to date there exists not many works dedicated to Monte Carlo (MC) simulations of our problem and they are unfortunately far from the state-of-the-art calculations. In the intended research we plan to perform the MC simulations of a SAW on the percolation clusters for d=2,3,4,5-dimensional lattices to find the numerical values of the critical exponents, governing its universal properties. In this way we will complete the set of theoretical and exact enumeration estimates by the MC result. Fields of science natural sciencesmathematicsapplied mathematicsdynamical systemsnatural scienceschemical sciencespolymer sciencesnatural sciencesbiological sciencesbiochemistrybiomoleculesproteinsprotein foldingnatural scienceschemical scienceselectrochemistryelectrophoresisnatural sciencesmathematicsapplied mathematicsmathematical model Keywords critical phenomena numerical simulations percolation self-avoiding walk Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Topic(s) MOBILITY-2.3 - Marie Curie Incoming International Fellowships (IIF) Call for proposal FP6-2004-MOBILITY-7 See other projects for this call Funding Scheme IIF - Marie Curie actions-Incoming International Fellowships Coordinator UNIVERSITÄT LEIPZIG EU contribution No data Address Ritterstr. 26 LEIPZIG Germany See on map Links Website Opens in new window Total cost No data