Categoria:
Seminari di Modellistica Differenziale Numerica
Data e ora inizio evento:
Data e ora fine evento:
Aula:
Sala di Consiglio
Sede:
Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma
Speaker:
Tiziana Giorgi, New Mexico State University
We study the Chen-Lubensky free energy functional to understand the zigzag pattern formed in a smectic A liquid crystal in the presence of an applied magnetic field. We identify a small dimensionless parameter epsilon, and investigate the behavior of the minimizers when the field strength is of order O(epsilon^(-1)). In this regime, we show via Gamma-convergence that a sawtooth profile is favored. We also carry out numerical simulations illustrating the zigzag structure. Our mathematical results are consistent with the experimental picture presented in the physics literature. This is joint work with C. J. Garcia-Cervera and S. Joo.