Variational evolution of atomistic systems

19.01.2022 15:00 - 15:30

Manuel Seitz (University of Vienna)

In general, pair-interaction atomistic energies give rise to nonlinear elastic energies with genuinely quasiconvex integrands when passing from a discrete to a continuous model. Nevertheless, linear energies can be obtained as a Gamma-limit from lattice interactions in the regime of small deformations as the number of atoms tend to infinity.
In this talk we adopt an evolutionary perspective and show that the solutions of the gradient flows on the discrete (atomistic) level converge to a solution of a gradient flow equation of the continuous linearized energy. The main tool used is evolutionary Gamma convergence (see, e.g., Sandier, Serfaty, 2004).


SFB 65, DK

Zoom Meeting