The expression of the free energy density of a classical crystalline system as a gradient expansion in terms of a set of order parameters is developed using classical density functional theory. The goal here is to extend and complete an earlier derivation by Löwen et al. [Europhys. Lett. 9...

The basic advantages of the density functional theory over the other statistical mechanical theories of freezing are outlined. The feasibility of a density functional based calculation is illustrated in the case of the hard sphere freezing. The difficulties encountered in the extension of these...

The concept of complexity as considered in terms of its algorithmic definition proposed by G. J. Chaitin and A. N. Kolmogorov is revisited for the dynamical complexity of music. When music pieces are cast in the form of time series of pitch variations, concepts of dynamical systems theory can be...

Measurements in turbulent flows have revealed that the velocity field in nonequilibrium systems exhibits q-exponential or power-law distributions in agreement with theoretical arguments based on nonextensive statistical mechanics. Here we consider Hele–Shaw flow as simulated by the lattice...

Flows can modify the effects of nonlinear reactions. Here we use a lattice Boltzmann method to simulate an athermal flow which advects reactant species. As an example we consider a reactive system modeled by the Brusselator which exhibits Turing structures; the system is subjected to mixing as...