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Papers by V. Garzó

Research paper thumbnail of Kinetic-Model for Steady Heat-Flow

Research paper thumbnail of Heat-Transport in a Dilute Gas Under Uniform Shear-Flow

Research paper thumbnail of Tracer limit in a gas mixture under shear flow with repulsive interactions

Research paper thumbnail of Nonlinear heat transport in a dilute gas in the presence of gravitation

Physical Review E, 1997

... ` Departement de Physique, Universite Moulay Ismail, Meknes, Morocco ? ? Vicente Garzo and An... more ... ` Departement de Physique, Universite Moulay Ismail, Meknes, Morocco ? ? Vicente Garzo and Andres Santos ? ... The analysis is performed from an exact perturbation solution of the Boltzmann equation for Maxwell molecules through second order in the field. ...

Research paper thumbnail of Nonlinear Couette flow in a dilute gas: Comparison between theory and molecular-dynamics simulation

Research paper thumbnail of Electrical conductivity in a dilute gas far from equilibrium

Physical Review E, 1998

ABSTRACT

Research paper thumbnail of Nonlinear transport in a binary mixture in the presence of gravitation

Physica A, 2001

The e1ect of gravity on the tracer particles immersed in a dilute gas of mechanically di1erent pa... more The e1ect of gravity on the tracer particles immersed in a dilute gas of mechanically di1erent particles and subjected to the steady planar Couette 3ow is analyzed. The results are obtained from the Gross-Krook (GK) kinetic model of a binary mixture and the description applies for arbitrary values of both velocity and temperature gradients. The GK equation is solved by means of a perturbation method in powers of the 7eld around a nonequilibrium state which retains all the hydrodynamic orders in the shear rate a and the thermal gradient � . To 7rst order in the gravity 7eld, we explicitly determine the hydrodynamic pro7les and the partial contributions to the momentum and heat 3uxes associated with the tracer species. All these quantities are given in terms of a; � , and the mass and size ratios. The shear-rate dependence of some of these quantities is illustrated for several values of the mass ratio showing that in general, the e1ect of gravity is more signi7cant when the particles of the gas are lighter than the tracer particles. c 2001 Elsevier Science B.V. All rights reserved.

Research paper thumbnail of Impurity in a sheared inelastic Maxwell gas

Research paper thumbnail of Influence of nonconservative external forces on self-diffusion in dilute gases

Physica A: Statistical Mechanics and its Applications, 1990

Research paper thumbnail of On the derivation of the Burnett hydrodynamic equations from the Hilbert expansion

Physica A: Statistical Mechanics and its Applications, 1988

ABSTRACT

Research paper thumbnail of Kinetic model for transport around uniform shear flow

Molecular Physics, 1993

ABSTRACT Expressions for the heat had momentum transport around the state of uniform shear flow a... more ABSTRACT Expressions for the heat had momentum transport around the state of uniform shear flow are given for a dilute gas. The results are obtained from a kinetic model recently proposed: the Liu model. This model improves some insufficiencies of the well-known Bhatnagar, Gross and Krook (BGK) equation. It is shown that the coexistence between both velocity and temperature gradients is only possible for interaction models with uniform collision frequency. In this case, the heat flux verifies a generalized Fourier's law where the thermal conductivity tensor depends on the shear rate. When considering systems where the collision frequency is not uniform, a perturbation method around the shear flow state is proposed. The irreversible fluxes are evaluated explicitly up to first order in the expansion for Maxwell molecules. The transport coefficients obtained are highly nonlinear functions of the shear rate. The results are compared with those previously obtained from the BGK and Boltzmann equations.

Research paper thumbnail of Monte Carlo simulation of the Boltzmann equation in the colour conductivity problem for general repulsive potentials

Molecular Physics, 1996

ABSTRACT

Research paper thumbnail of Distribution function for large velocities of a two-dimensional gas under shear flow

Journal of Statistical Physics, 1997

Research paper thumbnail of Nonlinear transport in a dilute binary mixture of mechanically different particles

Journal of Statistical Physics, 1994

Research paper thumbnail of Does the Gaussian thermostat maximize the phase-space compression factor?

Journal of Statistical Physics, 1995

Research paper thumbnail of On the Validity of a Variational Principle for Far-from-Equilibrium Steady States

Europhysics Letters (EPL), 1995

Research paper thumbnail of Non-equilibrium phase transition in a sheared granular mixture

EPL (Europhysics Letters), 2011

Research paper thumbnail of Transport properties in disparate-mass binary gases

Chemical Physics Letters, 1987

ABSTRACT

Research paper thumbnail of Couette and Fourier planar ows for a low density granular gas

Research paper thumbnail of Enskog theory for polydisperse granular mixtures. I. Navier-Stokes order transport

Research paper thumbnail of Kinetic-Model for Steady Heat-Flow

Research paper thumbnail of Heat-Transport in a Dilute Gas Under Uniform Shear-Flow

Research paper thumbnail of Tracer limit in a gas mixture under shear flow with repulsive interactions

Research paper thumbnail of Nonlinear heat transport in a dilute gas in the presence of gravitation

Physical Review E, 1997

... ` Departement de Physique, Universite Moulay Ismail, Meknes, Morocco ? ? Vicente Garzo and An... more ... ` Departement de Physique, Universite Moulay Ismail, Meknes, Morocco ? ? Vicente Garzo and Andres Santos ? ... The analysis is performed from an exact perturbation solution of the Boltzmann equation for Maxwell molecules through second order in the field. ...

Research paper thumbnail of Nonlinear Couette flow in a dilute gas: Comparison between theory and molecular-dynamics simulation

Research paper thumbnail of Electrical conductivity in a dilute gas far from equilibrium

Physical Review E, 1998

ABSTRACT

Research paper thumbnail of Nonlinear transport in a binary mixture in the presence of gravitation

Physica A, 2001

The e1ect of gravity on the tracer particles immersed in a dilute gas of mechanically di1erent pa... more The e1ect of gravity on the tracer particles immersed in a dilute gas of mechanically di1erent particles and subjected to the steady planar Couette 3ow is analyzed. The results are obtained from the Gross-Krook (GK) kinetic model of a binary mixture and the description applies for arbitrary values of both velocity and temperature gradients. The GK equation is solved by means of a perturbation method in powers of the 7eld around a nonequilibrium state which retains all the hydrodynamic orders in the shear rate a and the thermal gradient � . To 7rst order in the gravity 7eld, we explicitly determine the hydrodynamic pro7les and the partial contributions to the momentum and heat 3uxes associated with the tracer species. All these quantities are given in terms of a; � , and the mass and size ratios. The shear-rate dependence of some of these quantities is illustrated for several values of the mass ratio showing that in general, the e1ect of gravity is more signi7cant when the particles of the gas are lighter than the tracer particles. c 2001 Elsevier Science B.V. All rights reserved.

Research paper thumbnail of Impurity in a sheared inelastic Maxwell gas

Research paper thumbnail of Influence of nonconservative external forces on self-diffusion in dilute gases

Physica A: Statistical Mechanics and its Applications, 1990

Research paper thumbnail of On the derivation of the Burnett hydrodynamic equations from the Hilbert expansion

Physica A: Statistical Mechanics and its Applications, 1988

ABSTRACT

Research paper thumbnail of Kinetic model for transport around uniform shear flow

Molecular Physics, 1993

ABSTRACT Expressions for the heat had momentum transport around the state of uniform shear flow a... more ABSTRACT Expressions for the heat had momentum transport around the state of uniform shear flow are given for a dilute gas. The results are obtained from a kinetic model recently proposed: the Liu model. This model improves some insufficiencies of the well-known Bhatnagar, Gross and Krook (BGK) equation. It is shown that the coexistence between both velocity and temperature gradients is only possible for interaction models with uniform collision frequency. In this case, the heat flux verifies a generalized Fourier's law where the thermal conductivity tensor depends on the shear rate. When considering systems where the collision frequency is not uniform, a perturbation method around the shear flow state is proposed. The irreversible fluxes are evaluated explicitly up to first order in the expansion for Maxwell molecules. The transport coefficients obtained are highly nonlinear functions of the shear rate. The results are compared with those previously obtained from the BGK and Boltzmann equations.

Research paper thumbnail of Monte Carlo simulation of the Boltzmann equation in the colour conductivity problem for general repulsive potentials

Molecular Physics, 1996

ABSTRACT

Research paper thumbnail of Distribution function for large velocities of a two-dimensional gas under shear flow

Journal of Statistical Physics, 1997

Research paper thumbnail of Nonlinear transport in a dilute binary mixture of mechanically different particles

Journal of Statistical Physics, 1994

Research paper thumbnail of Does the Gaussian thermostat maximize the phase-space compression factor?

Journal of Statistical Physics, 1995

Research paper thumbnail of On the Validity of a Variational Principle for Far-from-Equilibrium Steady States

Europhysics Letters (EPL), 1995

Research paper thumbnail of Non-equilibrium phase transition in a sheared granular mixture

EPL (Europhysics Letters), 2011

Research paper thumbnail of Transport properties in disparate-mass binary gases

Chemical Physics Letters, 1987

ABSTRACT

Research paper thumbnail of Couette and Fourier planar ows for a low density granular gas

Research paper thumbnail of Enskog theory for polydisperse granular mixtures. I. Navier-Stokes order transport

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