Finance

Percolation theory

Physics

Associative property

Cooperativity

Neuroscience

Pure mathematics

Mathematics

Biology

Statistical physics

Statistics

Phase transition

Conductivity

Physical chemistry

Chemical physics

Economics

Chemistry

Materials science

Monte Carlo method

Percolation threshold

Percolation (cognitive psychology)

Quantum mechanics

Electrical resistivity and conductivity

Biochemistry

Bond

Thermodynamics

Physical review. E

Polymers with stickers-and-spacers architectures can drive phase-separation-aided bond percolation transitions. Here, we present a generalized mean-field model to enable the calculation of bond percolation thresholds for polymers with multiple types of stickers. Further, using graph-based Monte Carlo simulations we demonstrate how cooperativity in bond formation can give rise to reentrant phase behavior. When combined with recent advances for modeling phase separation, our approaches for calculating percolation lines could be useful for modeling hardening transitions for multivalent proteins.

Generalized models for bond percolation transitions of associative polymers