The equilibrium phase transitions and scaling laws governing the critical adsorption of linear polymer chains onto attractive solid boundaries are examined. Performing highly efficient Monte Carlo and Molecular Dynamics simulations, this work systematically maps phase diagrams and reveals how critical boundary behavior is governed by chain characteristics such as stiffness and monomer sequence, and the surface potential.

• Impact of Stiffness on Critical Adsorption: Establishing how the critical adsorption transition temperature is affected by the intrinsic flexibility of single polymer chains.

"Effect of Chain Stiffness on the Adsorption Transition of Polymers", Macromolecules 46, 2496 (2013).

• Influence of Surface Potential Range: Investigating the exact scaling relations between the spatial width of an attractive square-well potential and the critical energy required for a single chain to transition into an adsorbed state.
  
  "Adsorption of a Single Polymer Chain on a Surface: Effects of the Potential Range", Phys. Rev. E 87, 022604 (2013)

• Critical Behavior of Heteropolymer Architectures: Utilizing Molecular Dynamics simulations to map the phase diagrams of multi-block and random copolymer systems at solid interfaces, demonstrating that their complex critical adsorption can be effectively mapped onto homopolymer scaling frameworks.

"Adsorption of Multi-block and Random Copolymer on a Solid Surface: Critical Behavior and Phase Diagram", Macromolecules, 41, 2920 (2008).