Thermodynamik der irreversiblen Prozesse

Meixner, J.; Reik, H.G.

doi:10.1007/978-3-642-45912-2_4

Cited by 132 publications

(123 citation statements)

References 122 publications

Supporting

Mentioning

119

Contrasting

Unclassified

Order By: Relevance

“…More precisely, it is shown that knowledge of c p (ω) and α p (ω) at all frequencies allows one to calculate κ T (ω) except for an overall additive constant giving the high-frequency limit. This is equivalent to the above-mentioned result derived long ago [1,3,36], but now in a setting that is explicitly consistent with statistical mechanics.…”

Section: The General Stochastic Case: Two Independent Thermoviscoelassupporting

confidence: 82%

Glass-forming liquids: one or more ‘order’ parameters?

Bailey

Christensen

Jakobsen

et al. 2008

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

Abstract. We first summarize the classical arguments that the vast majority of glass-forming liquids require more than one "order" parameter for their description. Critiques against this conventional wisdom are then presented, and it is argued that the matter deserves to be reconsidered in light of recent experimental developments. Out of the eight basic thermoviscoelastic frequencydependent response functions, there are generally three independent functions. For stochastic dynamics we show that there are only two independent response functions; for this case it is shown how analytic continuation may be utilized to express the third response functions in terms of two others. Operational criteria are presented for the linear thermoviscoelasticity being described by a single "order" parameter, in which case there is just one independent thermoviscoelastic response function. It is shown that a single "order" parameter description applies to a good approximation whenever thermal equilibrium fluctuations of fundamental variables like energy and pressure are strongly correlated. Results from computer simulations showing that this is the case for a number of simple glass-forming liquids, as well as a few exceptions, are briefly presented. Finally, we discuss a new conjecture according to which experiments at varying temperature and pressure follow the density-scaling expression for the relaxation time, τ = F (ρ x /T ) (ρ and T are density and temperature), if and only if the liquid is "strongly correlating," i.e., to a good approximation is described by a single "order" parameter. Glass-forming liquids: One or more "order" parameters?2

show abstract

Section: The General Stochastic Case: Two Independent Thermoviscoelassupporting

confidence: 82%

Glass-forming liquids: one or more ‘order’ parameters?

Bailey

Christensen

Jakobsen

et al. 2008

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

show abstract

“…These magnitudes determine (for a given metric gab) the family of curves in the infinitesimal first order neighbourhood of a point uniquely up to homogeneous Lorentz transformations, as follows from the relation (21) which is equivalent to (10). In addition to (9 we wish to explicitly introduce for later application the scalars ~ (i~ai~a) 1/2, ~0 --(Wacoa) 1/2 = (SrlWabW ab~l/~) , a = '2 ~o~(1-" .,,~b~l/2j .…”

Section: =3( 0 -mentioning

confidence: 99%

Contributions to the relativistic mechanics of continuous media

1993

View full text Add to dashboard Cite

This is a translation from German of an article originally published inProceedings of the Mathematical-Natural Science Section of the Mainz Academy of Science and Literature, Nr. 11, 1961 (pp. 792–837) (printed by Franz Steiner and Co, Wiesbaden), which is Paper IV in the series ldquoExact Solutions of the Field Equations of General Relativity Theoryrdquo by Pascual Jordan, Jürgen Ehlers, Wolfgang Kundt and Rainer K. Sachs. The translation has been carried out by G. F. R. Ellis (Department of Applied Mathematics, University of Cape Town), assisted by P. K. S. Dunsby, so that this outstanding review paper can be readily accessible to workers in the field today. As far as possible, the translation has preserved both the spirit and the form of the original paper. Despite its age, it remains one of the best reviews available in this area

show abstract

“…[13]), we side with Meixner's point of view [53,205] in that, differently to equilibrium, does not exists a unique and precisely defined concept of thermodynamic entropy out of equilibrium. The one of subsection IV.A, is the one peculiar to IST, and depending on the nonequilibrium thermodynamic state defined by Zubarev-Peletminskii selection law altogether with the use of Bogoliubov's principle of correlation weakening.…”

Section: Discussionmentioning

confidence: 99%

Ensemble formalism for nonequilibrium systems and an associated irreversible statical thermodynamics

Vasconcellos¹,

Ramos²,

Luzzi³

2005

Braz. J. Phys.

View full text Add to dashboard Cite

It is reviewed what can be considered as the present research trends in what regards to the construction of an ensemble formalism -Gibbs' style -for the case of far-from-equilibrium systems. The main questions involved are presented accompanied with brief discussions. The construction of a nonequilibrium statistical operator is described and its applications commented, and, particularly, it is presented the derivation of an Irreversible Thermodynamics based on the statistical foundations that the nonequilibrium ensemble formalism provides.

show abstract

Thermodynamik der irreversiblen Prozesse

Cited by 132 publications

References 122 publications

Glass-forming liquids: one or more ‘order’ parameters?

Glass-forming liquids: one or more ‘order’ parameters?

Contributions to the relativistic mechanics of continuous media

Ensemble formalism for nonequilibrium systems and an associated irreversible statical thermodynamics

Contact Info

Product

Resources

About