Linked Questions

12 votes
4 answers
1k views

Is "equilibrium state" equivalent to "well-defined state variables"?

Follow up to Intuitively, why is a reversible process one in which the system is always at equilibrium? and How slow is a reversible adiabatic expansion of an ideal gas? Suppose you have a piston ...
Mark Eichenlaub's user avatar
8 votes
2 answers
868 views

Assumptions of thermodynamic & chemical equilibrium in fluid-dynamics

I am reading about the Euler equations of fluid dynamics from Leveque's Numerical Methods for Conservation Laws. After introducing the mass, momentum and energy equations, some thermodynamic concepts ...
smilingbuddha's user avatar
2 votes
2 answers
1k views

Forms of the first law of thermodynamics

The first law of thermodynamics states that $$\frac{D}{Dt}(K+U)=W+H,$$ where K is the kinetic energy, U is the internal energy, W is the power of the external forces and H is the heat flux. I have ...
superAnnoyingUser's user avatar
2 votes
3 answers
432 views

On the way adiabatic processes were defined in Blundell's Concepts in Thermal Physics

In Blundell's Concepts in Thermal Physics, page $117$, the author defines an adiabatic expansion as follows, The word adiathermal means ‘without flow of heat’. A system bounded by adiathermal walls ...
Hilbert's user avatar
  • 1,292
4 votes
4 answers
620 views

Entropy production in isolated system

My question relates to the stereotypical example for understanding the first and second laws: an isolated system filled with a gas of non-interacting molecules with constant ($E$,$V$,$N$) has two ...
Javi's user avatar
  • 1,165
3 votes
2 answers
564 views

Are state variables defined outside equilibrium?

State functions seem to always be described as relating state variables in equilibrium, wikipedia about state functions: In thermodynamics, a state function, [...] is a function defined for a system ...
Kuhlambo's user avatar
  • 920
3 votes
1 answer
493 views

Explain $\rho_{0}\dot{e} - \bf{P}^{T} : \bf{\dot{F}}+\nabla_{0} \cdot \bf{q} -\rho_{0}S = 0$

I am trying to understand the balance of energy -law from continuum mechanics, fourth law here. Could someone break this a bit to help me understand it? From chemistry, I can recall $$dU = \partial Q +...
hhh's user avatar
  • 609
1 vote
4 answers
232 views

On the requirement of equilibrium in thermodynamics

I am currently watching a thermodynamics course offered by MIT. Here is the link: https://www.youtube.com/watch?v=kLqduWF6GXE&list=PLA62087102CC93765&index=2 From minute 18:00 until 19:10, the ...
Amr's user avatar
  • 592
3 votes
1 answer
446 views

Derivation of general equation of heat transfer & entropy

In Landau & Lifshtiz Volume 6 on fluid mechanics we derive the general equation of heat transfer by starting with the expression $$ \partial_t \left( \frac{1}{2} \rho v^2 + \rho \varepsilon \right)...
Stefan's user avatar
  • 161
4 votes
1 answer
256 views

What are some good articles on trend to equilibrium?

I am interested in studying systems out of equilibrium that are trending to equilibrium. Trend to equilibrium, entropy production, etc. seem to be very tricky topics. Any suggestions will be ...
1 vote
1 answer
210 views

Entropy production, local thermodynamic equilibrium and adiabatic process

It is said that for local thermodynamic equilibrium the local entropy production needs to be 0. Now, I am reading the following from the book by de Groot and Mazur "Non-Equilibrium Thermodynamics". ...
Angela's user avatar
  • 1,053
2 votes
2 answers
71 views

Can equilibrium thermodynamics be used to analyze irreversible processes?

As usually taught in undergraduate courses, classical thermodynamics is actually thermo-statics, the thermal physics of equilibrium states. Even in this very restricted form it can and does make ...
Metadani's user avatar
  • 113
2 votes
1 answer
120 views

Question about adiabatic process (in Landau&Lifshitz's book)

In section 11 of Landau's statistical physics part 1, he wrote the following: Let us suppose that a body is thermally isolated, and is subject to external conditions which vary sufficiently slowly. ...
Kevin Kwok's user avatar