Nonequilibrium potential for linear energy harvester and work relationships.

In this work, we present an analytical study of a linear kinetic energy harvester driven by Gaussian noise through a nonequilibrium potential (NEP) approach. Taking advantage of the NEP, we conduct a statistical and thermodynamic analysis that reveals the stationary probability distribution function and its moments, offering insight into the harvester's stochastic behavior. Additionally, we make use of the energy landscape approach to visualize the implications of connecting a high load resistor, highlighting its impact on performance.

Perturbative computation of nonlinear harvesting through a path integral approach.

Statistical field theories provide powerful tools to study complex dynamical systems. In this work those tools are used to analyze the dynamics of a kinetic energy harvester, which is modeled by a system of coupled stochastic nonlinear differential equations and driven by colored noise. Using the Martin-Siggia-Rose response fields we analytically approach the problem through path integrals in the phase space and represent the moments that correspond to physical observables through Feynman diagrams.

Synchronization of chemical noise-sustained structures in asymmetrically coupled differential-flow reactors.

The differential-flow-induced chemical instability is investigated in the context of two coupled reactors with cubic autocatalytic kinetics (the Gray-Scott model). Previous results for master-slave arrangement [Izús, Deza, and Sánchez, J. Chem.

Replication of noise-sustained autocatalytic chemical structures.

Autocatalytic systems in a differential-flow reactor may undergo a differential-flow-induced chemical instability toward a convectively unstable regime, in which noise-sustained structures may appear. This is the case of a system with Gray-Scott kinetics in a packed-bed reactor, as reported in [B. von Haeften and G.

Rare events and scale-invariant dynamics of perturbations in delayed chaotic systems.

We study the dynamics of perturbations in time-delay dynamical systems. Using a suitable space-time coordinate transformation, we find that the time evolution of the linearized perturbations (Lyapunov vector) can be described by the linear Zhang surface growth model [J. Phys.

Nonequilibrium phase transitions in directed small-world networks.

Many social, biological, and economic systems can be approached by complex networks of interacting units. In many of these systems relations are directed in the sense that links act only in one direction (outwards or inwards). We investigate the effect of directed links on the behavior of a simple spin-like model evolving on a small-world network.