On the Scaling Behavior of the Force/Extension Relation of a Chain
(EN)
Kosmas, M. K.
(EN)
Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Χημείας
(EL)
Kosmas, M. K.
(EN)
Applying an extending force F along the end-to-end vector r of a chain enlarges the initial size rho(i) similar to vertical bar ri vertical bar leading to a final state with rho(f) larger than rho i. Assuming a power law dependence of the size rho similar to N(nu) of the chain on its length N, at the two different states with different exponents nu(i) and nu(f), a scaling relationship is derived between the measure of the extending force F and the extension r of the chain. The exponent gamma of the force/extension relation, rho similar to F(gamma), depends on both exponents nu(i) and nf of the initial and the final states. A relation between gamma and the exponents nu(i) and nu(f) is derived which permits the explanation of previous results and predicts some more. The scaling behavior is checked with the exactly soluble model of a random walk under a force.
(EN)
