We review equilibrium properties for the dynamics of a single particle evolving in a visco-elastic medium under the effect of hydrodynamic backflow which includes added mass and Basset force. Arbitrary equilibrium forces acting upon the particle are also included. We discuss the derivation of...

To describe the slow dynamics of a system out of equilibrium, but close to a dynamical arrest, we generalise the ideas of previous work to the case where time-translational invariance is broken. We introduce a model of dynamics that is reasonably general, and show how all of the unknown...

We analyze the validity of the fluctuation–dissipation theorem for slow relaxation systems in the context of mesoscopic nonequilibrium thermodynamics. We demonstrate that the violation arises as a natural consequence of the elimination of fast variables in the description of a glassy system,...

The expressions for the nonequilibrium temperature derived from the fluctuation–dissipation theorem and from the differential of the informational nonequilibrium entropy for ideal gases under shear flow are compared. Both temperatures are different, in particular, the thermodynamic temperature...

We present a procedure for dealing with the fluctuation–dissipation theorem (Kubo) without using Liouville–Neumann phase-space evolution. Thus, our procedure clarifies some objections posed against microscopic linear-response theory. As an application of our method, we revisit the...

Fluctuation–dissipation relations (FDR) for a Maxwell fluid are computed via the GENERIC formalism. This formalism is determined by four building blocks, two “potentials” (total energy and entropy) and two “matrices” which determine the dynamics. The FDR exhibits specific features...

We show the existence of intermittent dynamics in one of the simplest model of a glassy system: the two-state model, which has been used [Physica A 329 (2003) 357] to explain the origin of the violation of the fluctuation–dissipation theorem. The dynamics is analyzed through a Langevin...

Highly supersaturated electrolyte solutions are prepared and studied employing an Electrodynamic Levitator Trap (ELT) technique. The containerless suspension of pl-size solution microdroplets achieved by means of this technique eliminates dust, dirt, convection flows and container walls which...

Implications from a thermostatistics based on normalized Tsallis entropy, introduced by Rajagopal and Abe (Phys. Rev. Lett. 83 (1999) 1911) are analyzed. In particular, this normalization gives the thermodynamic stability, Cq0, for Tsallis formalism, leading to a natural extension to the...

We investigate, through the damage spreading method, the correlation length associated with the two-point correlation function between damage fluctuations, and the damage susceptibility of the square-lattice three-state Potts ferromagnet. We find that both quantities tend to diverge at the...