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pro vyhledávání: '"Garrido, Pedro L."'
Autor:
Garrido, Pedro L.
We propose an algebraic method that finds a sequence of functions that exponentially approach the solution of any second-order ordinary differential equation (ODE) with any boundary conditions. We define an extended ODE (eODE) composed of a linear ge
Externí odkaz:
http://arxiv.org/abs/2206.02445
Autor:
Garrido, Pedro L.
We study the behavior of stationary non-equilibrium two-body correlation functions for Diffusive Systems with equilibrium reference states (DSe). We describe a DSe at the mesoscopic level by $M$ locally conserved continuum fields that evolve through
Externí odkaz:
http://arxiv.org/abs/2105.01377
Autor:
Garrido, Pedro L.
We assume that a system at a mesoscopic scale is described by a field $\phi(x,t)$ that evolves by a Langevin equation with a white noise whose intensity is controlled by a parameter $1/\sqrt{\Omega}$. The system stationary state distribution in the s
Externí odkaz:
http://arxiv.org/abs/2103.16121
Autor:
Garrido, Pedro L.
The Macroscopic Fluctuating Theory is presented from a practical and self consistent point of view. We take as starting point the assumption that a system at a mesoscopic scale is described by a field $\phi(x,t)$ that evolves by a Langevin equation t
Externí odkaz:
http://arxiv.org/abs/2006.08261
Autor:
Garrido, Pedro L., Lebowitz, Joel L.
We describe results of computer simulations of steady state heat transport in a fluid of hard discs undergoing both elastic interparticle collisions and velocity randomizing collisions which do not conserve momentum. The system consists of N discs of
Externí odkaz:
http://arxiv.org/abs/1911.03178
Akademický článek
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Autor:
Garrido, Pedro L.
We do a generic study of the behavior of a hard disk system under the action of a thermal gradient in presence of an uniform gravity field. We observe the conduction-convection transition and measure the main system observables and fields as the ther
Externí odkaz:
http://arxiv.org/abs/1802.09759
Autor:
Garrido, Pedro L., Lebowitz, Joel L.
We derive diffusive macroscopic equations for the particle and energy density of a system whose time evolution is described by a kinetic equation for the one particle position and velocity function f(r,v,t) that consists of a part that conserves ener
Externí odkaz:
http://arxiv.org/abs/1802.03955
Publikováno v:
Phys. Rev. E 93, 040103(R) (2016)
The additivity principle (AP) allows to compute the current distribution in many one-dimensional (1d) nonequilibrium systems. Here we extend this conjecture to general d-dimensional driven diffusive systems, and validate its predictions against both
Externí odkaz:
http://arxiv.org/abs/1511.08373
Autor:
Hurtado, Pablo I., Garrido, Pedro L.
Publikováno v:
Scientific Reports 6, 38823 (2016)
Since the discovery of long-time tails, it has been clear that Fourier's law in low dimensions is typically anomalous, with a size-dependent heat conductivity, though the nature of the anomaly remains puzzling. The conventional wisdom, supported by r
Externí odkaz:
http://arxiv.org/abs/1506.03234