Papers by Patricia Goldstein
The linear standard Enskog theory revisited: the case of a binary mixture
Vithin the framework of a rcvisit to the linear Standard Enskog Theory, the kinetic thcory for a ... more Vithin the framework of a rcvisit to the linear Standard Enskog Theory, the kinetic thcory for a binary mixture of rigid spheres is proved to be consistent with linear irreversible ther- modynamics in terms of the thermodynamic forces and fluxes derived from the kinetic definition of the entropy production. A straightforward calculation of the Onsager coefficicnts is presented. RESUMEN. Dentro del contexto de una reconsideracion de la teoria de Enskog estandar linealizada, se muestra la consistencia de la teoria cinetica de una mezcla binaria de esferas duras con la termodinamica irreversible lineal en terminos de flujos y fuerzas termodinamicos derivados de la definicion cinetica de la produccion de entropia. Se presenta un calculo directo de los coeficientes de Onsager correspondientes.
The linear standard Enskog theory revisited: the case of a binary mixture
Vithin the framework of a rcvisit to the linear Standard Enskog Theory, the kinetic thcory for a ... more Vithin the framework of a rcvisit to the linear Standard Enskog Theory, the kinetic thcory for a binary mixture of rigid spheres is proved to be consistent with linear irreversible ther- modynamics in terms of the thermodynamic forces and fluxes derived from the kinetic definition of the entropy production. A straightforward calculation of the Onsager coefficicnts is presented. RESUMEN. Dentro del contexto de una reconsideracion de la teoria de Enskog estandar linealizada, se muestra la consistencia de la teoria cinetica de una mezcla binaria de esferas duras con la termodinamica irreversible lineal en terminos de flujos y fuerzas termodinamicos derivados de la definicion cinetica de la produccion de entropia. Se presenta un calculo directo de los coeficientes de Onsager correspondientes.
Journal of Non-Equilibrium Thermodynamics, 2013
Professor Leopoldo García-Colín Scherer, likely the most outstanding leader of research in statis... more Professor Leopoldo García-Colín Scherer, likely the most outstanding leader of research in statistical and non-equilibrium physics in Mexico, passed away on October 8th, 2012. His research accomplishments and academic influence on his many students and close collaborators are too many to be accounted for in these brief lines. Professor García-Colín contributed in such diverse fields as the foundations of irreversible thermodynamics beyond the linear regime, by developing formalisms in extended irreversible thermodynamics, as well as information theoretical approaches to non-equilibrium statistical mechanics; the kinetic theory of dilute plasmas and its applications in astrophysics; thermophysical modeling of the glass transition in condensed matter physics, including models of protein folding based in glassy thermodynamics. He also made important contributions to the definition of temperature in non-equilibrium systems; in the application of stochastic matrix approaches in statistical physics; in the nonequilibrium thermodynamics of chemically reacting systems; in non-linear hydrodynamics, and the thermohydrodynamics of rheological systems and non-Newtonian fluids. An important contribution often overlooked was his microscopic derivation of mode-coupling equations and his studies in nonequilibrium critical systems.
Irreversible thermodynamics of a binary mixture of dissimilar hard spheres
Physica A: Statistical Mechanics and its Applications, 1995
ABSTRACT Within the framework of the Standard Enskog Theory, we prove the consistency of the kine... more ABSTRACT Within the framework of the Standard Enskog Theory, we prove the consistency of the kinetic theory of a binary mixture of dissimilar hard spheres with Linear Irreversible Thermodynamics. The thermodynamic fluxes and forces arise from the entropy production which may be derived from a proposed kinetic entropy function. A straightforward proof of Onsager's reciprocity theorem is presented.
Universal behavior of the viscosity of supercooled fragile and polymeric glassformers in different temperature regions
Physica A: Statistical Mechanics and its Applications, 2016
Contributions of Leopoldo García-Colín Scherer on Glass Transition
A review work on some of the most important contributions made by Leopoldo Garcia-Colin Scherer o... more A review work on some of the most important contributions made by Leopoldo Garcia-Colin Scherer on relaxation phenomena that occur both in fragile and strong glass-formers is presented. In the mid 80's, Prof. Leopoldo Garcia-Colin was working on relaxation phe- nomena in several kinds of systems. Particularly, he had been studying the re- sponse function to an external perturbation in viscous and viscoelastic fluids. One evening in 1988, he began to discuss with his co-workers a paper that he had been reading, written by W. H. Saslow (20), on the temperature dependence of the av- erage relaxation time in relaxation processes in a supercooled liquid in the glass transition region. Garcia-Colin became interested in the temperature dependence of the Logarithmic Shift Factor (LSF), log aT , that may be expressed in terms of the average relaxation time ? or the viscosity of the supercooled liquid ·,
Time evolution equations in an ionized fluid using extended irreversible thermodynamics
Using Extended Irreversible Thermodynamics we obtain evolution equations for the heat flux and fo... more Using Extended Irreversible Thermodynamics we obtain evolution equations for the heat flux and for the stress tensor in an ionized fluid subject to an external magnctic field. These equations may be compared with those obtaincd from thc thirteen moment solution of the iloltzmann equation. This comparison yields explicit cxpressions for the relevant phenomenological coefficients in terms of molecular quantities. The static correlation fUllctions for the fluctllations of tile state variables describing the fluid are also calclllated. PACS: 05.70.Ln; 52.25.Dg
On the temperature dependence of the Adam-Gibbs equation around the crossover region in the glass transition
Physica A: Statistical Mechanics and its Applications
Universal behavior of the viscosity of supercooled fragile and polymeric glassformers in different temperature regions
Physica A: Statistical Mechanics and its Applications
Physica a, 1999
Nowadays, the experimental evidence of a crossover between two dynamical regimes for supercooled ... more Nowadays, the experimental evidence of a crossover between two dynamical regimes for supercooled glass-forming liquids at a temperature T c; Tc ¿ Tg, where Tg is the glass transition temperature, has been widely reported in the literature. On one hand, it is a well-known fact that in the region T g ¡ T ¡ Tc, fragile glass forming liquids do not follow the Vogel-Fulcher-Tammann law. On the other hand, in the same region the Stokes-Einstein relation between the viscosity and the translational di usion coe cient breaks down. Using the temperature derivative analysis, we present, for three glass-forming liquids, an empirical law for log 10 f, where f is the frequency, and we exhibit the break down of the Stokes-Einstein relation.
Contributions of Leopoldo García-Colín Scherer on glass transition
Boletin De La Sociedad Matematica Mexicana Tercera Serie, 2013
La física de los procesos irreversibles / L. García-Colín Scherer, P. Goldstein Menache
ABSTRACT
Tendencias actuales en la enseñanza de la Física en bachillerato
ABSTRACT
Ludwig Boltzmann a cien años de su muerte / Coord. de L. García-Colín Scherer, P. Goldstein, J.L. del Río
ABSTRACT
Relaxation Phenomena in the Glass Transition
A review work on some of the most important aspects on relaxation phenomena that occur both in fr... more A review work on some of the most important aspects on relaxation phenomena that occur both in fragile and strong glass-formers is presented. In particular, different empirical forms for the logarithmic shift factor and its relation with the specific heat that have been studied in the literature are discussed. The application of the generalized stochastic matrix method in strong glasses
A thermodynamic basis for charged particles transport in viscoelastic fluids
Chemical Physics, 1997
A calculation for the generalized longitudinal stress modulus and electric conductivity in an ion... more A calculation for the generalized longitudinal stress modulus and electric conductivity in an ionic-viscoelastic medium is presented. The system is described within the framework of extended irreversible thermodynamics in terms of the regular conserved variables and of an additional set of independent variables consisting of the stress tensor, its trace, and the electric flux. Using the standard procedure, we derive
Recibido el 27 de mayo de 2004; aceptado el 29 de septiembre de 2004 One of the main applications... more Recibido el 27 de mayo de 2004; aceptado el 29 de septiembre de 2004 One of the main applications of the stochastic matrix method is the evaluation of the probability of finding boroxol rings and dendrites in a boron oxide glass. In this work, we calculate the configurational entropy of B 2 O 3 using this probability and Shannon's definition of entropy. The isentropic temperature is evaluated obtaining a very good agreement with experimental data. Entropy is introduced into the Adam-Gibbs equation to calculate viscosity. The resulting expression fits the complete range of temperatures for the supercooled liquid.
Theoretical basis for the Vogel-Fulcher-Tammann equation
Physical Review B, 1989
The lattice model for linear polymeric glasses proposed by Gibbs and Di Marzio several decades ag... more The lattice model for linear polymeric glasses proposed by Gibbs and Di Marzio several decades ago is used to calculate the average relaxation time for the structure of the model as a function of temperature. Using the fact that the model exhibits the existence of a temperature T0 for which the configurational entropy of the system vanishes, we identify this
Physica A: Statistical Mechanics and its Applications, 2013
h i g h l i g h t s • We study the dependence on temperature of viscosity of honeys in the glass ... more h i g h l i g h t s • We study the dependence on temperature of viscosity of honeys in the glass transition region. • The model used to analyze data is a linear form for the WLF equation. • A master plot is obtained for different honeys exhibiting a corresponding state behavior. • The reference temperature that is considered has a similar value to the dynamic crossover temperature.
Transport Processes in a Viscoelastic Binary Mixture
Journal of Non-Equilibrium Thermodynamics, 2000
... The relaxation of these fluctuations is due to diffusion processes among the components of th... more ... The relaxation of these fluctuations is due to diffusion processes among the components of the solution [15-19]. Besides, it provides information on the viscoelasticity of the system. ... (22) ), (23) l)ikop(k,s) = C^jf^s) + C2iki^(k9s)9 (24) J. Non-Equilib. Thermodyn., Vol. 19, 1994, No. ...
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Papers by Patricia Goldstein