Influence of long-range correlated quenched disorder on the adsorption of long flexible polymer chains on a wall

Abstract

The process of adsorption on a planar wall of long-flexible polymer chains in the medium with quenched long-range correlated disorder is investigated. We focus on the case of correlations between defects or impurities that decay according to the power-low $x^{-a}$ for large distances $x$, where $\mathbf{x}=(\mathbf{r},z)$. Field theoretical approach in $d=4-\epsilon$ and directly in $d=3$ dimensions up to one-loop order for the semi-infinite $|\varphi {|}^4$ m-vector model (in the limit $m\to 0$) with a planar boundary is used. The whole set of surface critical exponents at the adsorption threshold $T=T_a$, which separates the nonadsorbed region from the adsorbed one is obtained. Moreover, we calculate the crossover critical exponent $\Phi$ and the set of exponents associated with them. We perform calculations in a double $\epsilon =4-d$ and $\delta =4-a$ expansion and also for a fixed dimension $d=3$, up to one-loop order for different values of the correlation parameter $2<a\le 3$. The obtained results indicate that for the systems with long-range correlated quenched disorder the new set of surface critical exponents arises. All the surface critical exponents depend on $a$. Hence, the presence of long-range correlated disorder influences the process of adsorption of long-flexible polymer chains on a wall in a significant way.

4 figures, 2 tables

References in corpus (4)

• Critical Phenomena and Renormalization-Group Theory
• The Adsorption and Collapse Transitions in a Linear Polymer Chain near an Attractive Wall
• Polymers in long-range-correlated disorder
• Surface critical behavior of random systems at the special transition

Cited by in corpus (4)

• Sharp critical behavior for pinning model in random correlated environment
• Polymer adsorption on a fractal substrate: numerical study
• Field theoretical analysis of adsorption of polymer chains at surfaces: Critical exponents and Scaling
• Influence of long-range correlated surface and near the surface disorder on the process of adsorption of long-flexible polymer chains