Extended hydrodynamics from Enskog's equation: The bidimensional case

Ugawa, Hideaki

doi:10.1016/j.physa.2005.02.045

Cited by 6 publications

(5 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact Kim and Hayakawa [35], in their careful reinvestigation of the Chapman-Enskog expansion, examined a naive contact between a nonequilibrium steady state and an equilibrium state, and found that the pressure of the steady state is indeed larger than that of the equilibrium state 47 . A recent calculation based on Enskog's equation leads to a different conclusion [87].…”

Section: Flux Induced Osmosis (Fio)mentioning

confidence: 97%

Steady State Thermodynamics

2006

View full text Add to dashboard Cite

The present paper reports our attempt to search for a new universal framework in nonequilibrium physics. We propose a thermodynamic formalism that is expected to apply to a large class of nonequilibrium steady states including a heat conducting fluid, a sheared fluid, and an electrically conducting fluid. We call our theory steady state thermodynamics (SST) after Oono and Paniconi's original proposal. The construction of SST is based on a careful examination of how the basic notions in thermodynamics should be modified in nonequilibrium steady states. We define all thermodynamic quantities through operational procedures which can be (in principle) realized experimentally. Based on SST thus constructed, we make some nontrivial predictions, including an extension of Einstein's formula on density fluctuation, an extension of the minimum work principle, the existence of a new osmotic pressure of a purely nonequilibrium origin, and a shift of coexistence temperature. All these predictions may be checked experimentally to test SST for its quantitative validity.

show abstract

Section: Flux Induced Osmosis (Fio)mentioning

confidence: 97%

Steady State Thermodynamics

2006

View full text Add to dashboard Cite

show abstract

“…Comparing Eqs. (11) and (12) to the anticipated ones (2), we can identify the effective temperature:…”

Section: Thermodynamic Quantitiesmentioning

confidence: 98%

“…Like pressure (11) and internal energy (12), it is symmetric in the temperature variables T 1 and T 2 . The expansion near T am in the reduced temperature difference δ ≡ 1 2 T 21 /T am can be deduced [41] from this formula.…”

Section: Entropymentioning

confidence: 99%

“…A number of approaches have been applied in order to obtain thermodynamic quantities of the systems in the heat-conduction steady state. The Boltzmann kinetic equation [5][6][7] and the information theory [8][9][10] for lowdensity gases and the Enskog kinetic equation [11][12][13] for hard spheres use the weakly nonequilibrium results for the one-particle distribution function. The nonequilibrium pressure and entropy corrections calculated are quadratic in the heat flux variable.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Thermodynamic quantities of the low-density gas in the weakly nonequilibrium heat-conduction steady state in the linear temperature profile approximation

Humenyuk¹

2017

J. Phys. Stud.

View full text Add to dashboard Cite

The weakly nonequilibrium low-density gas with a steady heat flow is considered within the approximation of a linear temperature profile. Simple analytical estimates for pressure, internal energy, and entropy are obtained. Compressibilities and heat capacities are analyzed. The result for the entropy is shown to be compatible with the second law of thermodynamics. The approximation of the displaced linear temperature profile is introduced, which is aimed to take into account the higher temperature gradients.

show abstract

“…1) the first one [12] was on the pressure difference between the equilibrium and nonequilibrium stationary heat-conduction hard-disk gases separated by a porous wall; the phenomenological conclusion on the pressure difference claimed in [13] had not been confirmed; 2) the second problem concerned the description of hard disks between two parallel walls with different temperatures [11]; for the weakly nonequilibrium case, the pressure correction was estimated to be quadratic in the heat flux.…”

Section: Introductionmentioning

confidence: 99%

Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state

Humenyuk¹

2016

Condens. Matter Phys.

View full text Add to dashboard Cite

Thermodynamic quantities of the hard-sphere system in the steady state with a small heat flux are calculated within the continuous media approach. Analytical expressions for pressure, internal energy, and entropy are found in the approximation of the fourth order in temperature gradients. It is shown that the gradient contributions to the internal energy depend on the volume, while the entropy satisfies the second law of thermodynamics for nonequilibrium processes. The calculations are performed for dimensions 3D, 2D, and 1D.

show abstract

Extended hydrodynamics from Enskog's equation: The bidimensional case

Cited by 6 publications

References 21 publications

Steady State Thermodynamics

Steady State Thermodynamics

Thermodynamic quantities of the low-density gas in the weakly nonequilibrium heat-conduction steady state in the linear temperature profile approximation

Pressure and entropy of hard spheres in the weakly nonequilibrium heat-conduction steady state

Contact Info

Product

Resources

About