Nonlinear Effects in Transport Theory

McLennan, James A.

doi:10.1063/1.1706219

Cited by 85 publications

(46 citation statements)

References 16 publications

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“…Nonequilibrium statistical operator method (NESOM) [16][17][18][19][20][21][22][23][24][25] turned to be an effective tool in the solving the nonequilibrium problems. On its basis the information statistical thermodynamics is formulated [26][27][28][29][30][31][32][33].…”

Section: Nonequilibrium Statistical Operator Methods and Lifetime Of Smentioning

confidence: 99%

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Nonequilibrium Statistical Operator for Systems of Finite Size

Ryazanov¹

2012

IJTMP

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The lifetime of statistical system is introduced. It is supposed that the nonequilibrium statistical operator implicitly contains the lifetime. The operations of taking of invariant part, averaging on initial conditions used in works of D.N. Zubarev, temporary coarse-graining (Kirkwood), choose of the direction of time are replaced by averaging on lifetime distribution. The expression for lifetime change at transitions from quasi-equilibrium system to nonequilibrium one is derived. A sort of the nonequilibrium statistical operator for systems of the finite sizes is suggested.

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Section: Nonequilibrium Statistical Operator Methods and Lifetime Of Smentioning

confidence: 99%

“…It is possible to write down (23) and through entropy production. From (16)(17) and (23) is received, that…”

Section: -Y T(y)(∂t(t-y)/∂t(t))/t(t-y)c V (Y)+(∂< Ementioning

confidence: 99%

Nonequilibrium Statistical Operator for Systems of Finite Size

Ryazanov¹

2012

IJTMP

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“…In this Appendix we show that the two approaches are equivalent. In particular, we use the non-equilibrium Gamma-space distribution functions of MacLennan [15] and Zubarev [16,17], combined with the mode-coupling theories of Kadanoff and Swift [56] and of Kawasaki [57], to derive some of the results of Section II.…”

Section: Appendix B: Connection With the Non-equilibrium Distributionmentioning

confidence: 99%

“…For the case of a NESS with a temperature gradient the Gamma-space distribution function is [15][16][17] …”

Section: Appendix B: Connection With the Non-equilibrium Distributionmentioning

confidence: 99%

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Work, work fluctuations, and the work distribution in a thermal nonequilibrium steady state

Kirkpatrick¹,

Dorfman²,

Sengers³

2016

Phys. Rev. E

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Long-ranged correlations generically exist in non-equilibrium fluid systems. In the case of a nonequilibrium steady state caused by a temperature gradient the correlations are especially long-ranged and strong. The anomalous light scattering predicted to exist in these systems is well-confirmed by numerous experiments. Recently the Casimir force or pressure due to these fluctuations or correlations have been discussed in great detail. In this paper the notion of a Casimir work is introduced and a novel way to measure the non-equilibrium Casimir force is suggested. In particular, the non-equilibrium Casimir force is related to a non-equilibrium heat and not, as in equilibrium, to a volume derivative of an average energy. The non-equilibrium work fluctuations are determined and shown to be very anomalous compared to equilibrium work fluctuations. The non-equilibrium work distribution is also computed, and contrasted to work distributions in systems with shortrange correlations. Again, there is a striking difference in the two cases. Formal theories of work and work distributions in non-equilibrium steady states are not explicit enough to illustrate any of these interesting features.

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On the Statistical Foundations of Irreversible Thermodynamics

Luzzi

Vasconcellos

Ramos

1999

Fortschritte der Physik

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We briefly, and partially, consider aspects of the present status of phenomenological irreversible thermodynamics and nonequilibrium statistical mechanics. After short comments on Classical Irreversible Thermodynamics, its conceptual and practical shortcomings are pointed out, as well as the efforts undertaken to go beyond its limits, consisting of particular approaches to a more general theory of Irreversible Thermodynamics. In particular, a search for statistical‐mechanical foundations of Irreversible Thermodynamics, namely, the construction of a statistical thermodynamics, are based on the Non‐equilibrium Statistical Operator Method. This important theory for the treatment of phenomena at the macroscopic level, is based on a microscopic molecular description in the context of a nonequilibrium ensemble formalism. We draw attention to the fact that this method may be considered to be emcompassed within Jaynes' Predictive Statistical Mechanics and based on the principle of maximization of informational entropy. Finally, we describe how, in fact, the statistical method provides foundations to phenomenological irreversible thermodynamics, thus giving rise to what can be referred to as Informational Statistical Thermodynamics.

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Nonlinear Effects in Transport Theory

Cited by 85 publications

References 16 publications

Nonequilibrium Statistical Operator for Systems of Finite Size

Nonequilibrium Statistical Operator for Systems of Finite Size

Work, work fluctuations, and the work distribution in a thermal nonequilibrium steady state

On the Statistical Foundations of Irreversible Thermodynamics

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