Investigations on diffusion in systems with memory [I.V.L. Costa, R. Morgado, M.V.B.T. Lima, F.A. Oliveira, Europhys. Lett. 63 (2003) 173] have established a hierarchical connection between mixing, ergodicity, and the fluctuation–dissipation theorem (FDT). This hierarchy means that ergodicity...

We present here a discussion for a reaction rate theory for non-Markovian systems. We show that the state of the art of the theory is not enough to explain the rates obtained for systems with long-range memories. We discuss as well the limits for a system of many interacting particles to be...

The statistical properties of random walks evolving on real configurations of a crumpled wire rigidly jammed in two dimensions is investigated. These crumpled hierarchical structures with complex topology are obtained from a metallic wire injected at a constant rate into a transparent planar...

We analyze the dynamics of a Brownian gas in contact with a heat bath in which large temperature fluctuations occur. There are two distinct time scales present, one describes the decay of the fluctuations in the temperature and the other one is associated with the establishment of local...

A novel approach to the dynamics of dilute solutions of polymer molecules under flow conditions is proposed by applying the rules of mesoscopic nonequilibrium thermodynamics (MNET). The probability density describing the state of the system is taken to be a function of the position and velocity...

Derivation of a phase–space diffusion limit (D-L) allows to obtain a useful formula for a characteristic width of the macroion-channeling filter, controlling model (dis)ordered protein aggregations in a non-ideal aqueous solution. The channel’s width is estimated at the order of an inner...

We show the existence of precursors of crystalline and amorphous phases preceding the appearance of freezing and glass transitions in colloidal systems. The formation of crystalline clusters or amorphous local arrangements can be controlled by tuning the parameters of a proposed continuous...

We discuss the conditions for which the non-equilibrium work relation is valid by means of thermodynamic and microscopic arguments.

The dynamics of temperature fluctuations of a gas of Brownian particles in local equilibrium with a nonequilibrium heat bath are described using an approach consistent with Boltzmann–Gibbs (BG) statistics. We use mesoscopic nonequilibrium thermodynamics (MNET) to derive a Fokker–Planck...

The dynamics of a degree of freedom associated to an axial vector in contact with a heat bath is described by means of a probability distribution function obeying a Fokker–Planck equation. The equation is derived by using mesoscopic non-equilibrium thermodynamics and permits a formulation of a...