Entropy production and viscosity of a dilute gas

Abstract

It is known that the viscosity of a dilute gas can be derived by using kinetic theory. We present here a new derivation by using two entropy production principles: the steepest entropy ascent (SEA) principle and the maximum entropy production (MEP) principle. The known result is reproduced in a similar form.

Entropy and ionic conductivity

“…which takes the same form as the entropy of a dilute gas that carries a heat flux [2] or a velocity gradient [3]. Using Eq.…”

“…In this section, we shall see if the steady electric current can be obtained by another approach that uses the entropy production. We shall discuss this by analogy with studies of the thermal conductivity [2] and viscosity [3] of a dilute gas.…”

Entropy and entropy production in some applications

“…For a uniform velocity gradient to appear, two more features need to be considered: (1) The system can be viewed as two layers and between them there exists a relative velocity; one of the two layers can be further viewed as another two layers... (2) The speed distribution has fluctuated away from the Maxwell speed distribution. These two features have been considered in work [2], and the system entropy has been approximately obtained there as…”

“…By using τ , system entropy and entropy production can be compared. There are three methods to do so, see Tab I. tendency for a flux to relax tendency for a flux to increase system entropy S S entropy production σ S S − S S0 ∝ −J 2 σ ∝ J method 1 relaxation entropy production usual entropy production J(t) = Je −t/τ dS S (t)) dt t=0 σ dS S (t)) dt t=0 = σ method 2 system entropy environment entropy S S S E = S E0 + τ σ S S + S E = maximum method 3 system entropy and τ entropy production S S /τ σ S S /τ + σ = maximum The first method is an entropy production method [1][2][3]. In this method, one constructs a new entropy production from the system entropy, by considering that a given flux relaxes at the maximum rate.…”

“…= σ method 2 system entropy environment entropy S S S E = S E0 + τ σ S S + S E = maximum method 3 system entropy and τ entropy production S S /τ σ S S /τ + σ = maximum The first method is an entropy production method [1][2][3]. In this method, one constructs a new entropy production from the system entropy, by considering that a given flux relaxes at the maximum rate.…”