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Dive into the research topics where Francisco J. Uribe is active.

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Featured researches published by Francisco J. Uribe.


Entropy | 2011

Entropy Production: Its Role in Non-Equilibrium Thermodynamics

Rosa María Velasco; L. S. Garcia-Colin; Francisco J. Uribe

It is unquestionable that the concept of entropy has played an essential role both in the physical and biological sciences. However, the entropy production, crucial to the second law, has also other features not clearly conceived. We all know that the main difficulty is concerned with its quantification in non-equilibrium processes and consequently its value for some specific cases is limited. In this work we will review the ideas behind the entropy production concept and we will give some insights about its relevance.


Journal of Physics A | 2010

Work-fluctuation theorems for a particle in an electromagnetic field

J. I. Jiménez-Aquino; Francisco J. Uribe; Rosa María Velasco

The theoretical study about the transient and stationary fluctuation theorems is extended to include the effects of electromagnetic fields on a charged Brownian particle. In particular, we consider a harmonic trapped Brownian particle under the action of a constant magnetic field pointing perpendicular to a plane and a time-dependent electric field acting on this plane. The electric field is seen to be responsible for the motion of the center in the harmonic trap, giving as a result a time-dependent dragging. Our study is focused on the solution of the Smoluchowski equation associated with the over-damped Langevin equation and also considers two particular cases for the motion of the harmonic trap minimum. The first one is produced by a linear time-dependent electric field and, in the second case an oscillating electric field produces a circular motion. In this last case we have found resonant behavior in the mean work when the electric field is tuned with Larmors frequency. Some comparisons are made with other works in the absence of the magnetic field.


Archive | 2011

The Shock Wave Problem Revisited: The Navier–Stokes Equations and Brenner’s Two Velocity Hydrodynamics

Francisco J. Uribe

The problem ofplane shock waves indilute gases is considered. Its importance relies upon the fact that is an example in which theNavier–Stokes equations have been shown to be susceptible of improvement. Several alternatives to these equations are briefly mentioned in order to give an idea of the importance that the problem of extending the Navier–Stokes equations has these days. We focus our attention on the recent proposal of extension of the Navier–Stokes equations given by Brenner. Our analysis considers the stationary case for the shock wave problem and we compare it with a recent non-stationary analysis.


Journal of Non-Equilibrium Thermodynamics | 2004

Inconsistency in the Moment's method for solving the Boltzmann equation

L. S. Garcia-Colin; Rosa María Velasco; Francisco J. Uribe

Abstract Moment’s methods devised to solve the Boltzmann kinetic equation for a simple, inert, dilute gas exhibit inconsistencies. These are brought up in a general way for the ordinary Boltzmann equation (BE), the Bhatnagar-Gross-Krook (BGK) model, and the Mott-Smith ansatz. Although also present in the Chapman-Enskog method the nature of its perturbation expansion in terms of Knudsen’s number takes care of the problem in a natural way. We show that indeed another step based on this idea is required to arrive at a closure condition in the moment’s solution. Also, a general proof is offered showing why these inconsistencies appear when appealing to moment expansions.


Archive | 2003

Hydrodynamics, Grad’s Moments Method and the Structure Of Shock Waves

Francisco J. Uribe; Rosa María Velasco; L. S. Garcia-Colin

The propagation of a plane shock wave through a monatomic gas is considered. A study based on Grads thirteen moment approximation to the solution of Boltzmanns equation is performed for a stationary shock. Comparison of the results obtained with two different sets of dynamical variables leads to some inconsistencies. In fact, what we exemplify is that Grads method does not uniquely determines the underlying dynamical systems of equations for each choice of dynamical variables. The consequences of this incosistency are seen in the shock wave problem.


Physics Reports | 2008

Beyond the Navier–Stokes equations: Burnett hydrodynamics

L. S. Garcia-Colin; Rosa María Velasco; Francisco J. Uribe


Physical Review E | 1999

BURNETT DESCRIPTION FOR PLANE POISEUILLE FLOW

Francisco J. Uribe; Alejandro L. Garcia


Physical Review E | 2000

Bobylev's instability

Francisco J. Uribe; Rosa María Velasco; L. S. Garcia-Colin


Physical Review E | 2000

Shock wave profiles in the burnett approximation

Francisco J. Uribe; Rosa María Velasco; L. S. Garcia-Colin; Diaz-Herrera E


Physical Review Letters | 1998

Burnett Description of Strong Shock Waves

Francisco J. Uribe; Rosa María Velasco; L. S. Garcia-Colin

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Rosa María Velasco

Universidad Autónoma Metropolitana

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L. S. Garcia-Colin

Universidad Autónoma Metropolitana

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J. I. Jiménez-Aquino

Universidad Autónoma Metropolitana

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Carol G. Hoover

Lawrence Livermore National Laboratory

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L.S. Garcia-Colin

Universidad Autónoma Metropolitana

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E. Pérez-Chavela

Universidad Autónoma Metropolitana

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Ernesto Pérez-Chavela

Universidad Autónoma Metropolitana

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Wm. G. Hoover

University of California

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