Weak Galilean invariance as a selection principle for coarse-grained diffusive models.

ABSTRACT: How does the mathematical description of a system change in different reference frames? Galilei first addressed this fundamental question by formulating the famous principle of Galilean invariance. It prescribes that the equations of motion of closed systems remain the same in different inertial frames related by Galilean transformations, thus imposing strong constraints on the dynamical rules. However, real world systems are often described by coarse-grained models integrating complex internal and external interactions indistinguishably as friction and stochastic forces. Since Galilean invariance is then violated, there is seemingly no alternative principle to assess a priori the physical consistency of a given stochastic model in different inertial frames. Here, starting from the Kac-Zwa

SUBMITTER: Cairoli A 

PROVIDER: S-EPMC5984493 | biostudies-literature | 2018 May

REPOSITORIES: biostudies-literature