arXiv subjects

Pedro Garrido

Publications and source records attributed to Pedro Garrido.

3 recordsLinked to original sources

arXiv2023

On the behaviour of a periodically forced and thermostatted harmonic chain

We consider a chain consisting of $n+1$ pinned harmonic oscillators subjected on the right to a time dependent periodic force $\cF(t)$ while Langevin thermostats are attached at both endpoints of the chain. We show that for long times the system is described by a Gaussian measure whose covariance function is independent of the force, while the means are periodic. We compute explicitly the work and energy due to the periodic force for all $n$ including $n\to\infty$.

math-ph↗

arXiv2015

Non-equilibrium statistical mechanics of turbulence

A discussion of numerical aspects of D. Ruelle's proposal for a hierarchical theory of intermittency

physics.flu-dyn↗

arXiv2012

Rigid motions: action-angles, relative cohomology and polynomials with roots on the unit circle

Revisiting canonical integration of the classical solid near a uniform rotation, canonical action angle coordinates, hyperbolic and elliptic, are constructed in terms of various power series with coefficients which are polynomials in a variable $r^2$ depending on the inertia moments. Normal forms are derived via the analysis of a relative cohomology problem and shown to be obtainable without the use of ellitptic integrals (unlike the derivation of the action-angles). Results and conjectures also emerge about the properties of the above polynomials and the location of their roots. In particular a class of polynomials with all roots on the unit circle arises.

nlin.SI↗