KTH Matematik |

Seminarierummet F11, Institutionen för
matematik, KTH, Lindstedtsvägen 22.
This thesis studies the constitutive relations of the stress and heat flux in the Fermi-Pasta-Ulam- Tsingou model with Langevin dynamics, by the means of molecular dynamics simulations. In essence, the model consists of a many particle system in the presence of a heat bath, where each particle is chained to its two neighbors by a nonlinear quadratic spring force. A numerical method is implemented to propagate the particle dynamics. Following Hardy [7], formulas relating the macroscopic entities to the particle dynamics are employed in order to study the behavior of the stress and heat flux in relation to the mass, momentum and energy. In fact, the numerical result show that the stress appears as a linear function of the energy. |

Sidansvarig: Jimmy Olsson Uppdaterad: 13/12-2017 |