A nonlocal theory of heat transfer and micro-phase separation of nanostructured copolymers

•Developed a nonlocal continuum model of coupled microphase separation and heat transfer in block copolymer thin films.•Established constitutive relations of the phase-field model based on the self-consistent field theory of polymers.•Presented a finite element solution with unconditionally stable time-stepping schemes for accurate numerical simulations.•Conducted two- and three-dimensional numerical experiments to demonstrate thermally induced phase responses in copolymers.