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Questions tagged [equilibrium]

Equilibrium is the condition of a system in which all competing influences are balanced. These can range from forces (static/dynamic equilibrium), to chemical processes (chemical equilibrium) and temperature gradients (thermal equilibrium).

82 votes
7 answers
11k views

Why is the Earth so fat?

I made a naive calculation of the height of Earth's equatorial bulge and found that it should be about 10km. The true height is about 20km. My question is: why is there this discrepancy? The ...
Mark Eichenlaub's user avatar
9 votes
3 answers
4k views

Why are thermodynamic potentials minimised?

Why is it that, at equilibrium, certain potentials are minimised? That is, for a system at constant temperature and pressure, the Gibbs free energy is minimised, and for fixed volume and temperature, ...
Toby Peterken's user avatar
43 votes
8 answers
6k views

Prove that negative absolute temperatures are actually hotter than positive absolute temperatures

Could someone provide me with a mathematical proof of why, a system with an absolute negative Kelvin temperature (such that of a spin system) is hotter than any system with a positive temperature (in ...
user avatar
8 votes
2 answers
801 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
7 votes
2 answers
2k views

How are the Lagrange points determined?

According to Hyper Physics, there are 5 equilibrium, or Lagrange points of the Earth-Moon system and only 2 of them are said to represent stable equilibrium points. This made me think if there is an ...
user avatar
23 votes
6 answers
4k views

Is thermodynamics only applicable to systems in equilibrium?

So I was going through callen's thermodynamics book and their he says that thermodynamics is only applicable to systems which are in equilibrium and that naturally raised a few questions in my mind ...
Metric's user avatar
  • 543
9 votes
4 answers
2k views

What maximizes entropy? [duplicate]

Liouville theorem states that the phase space distribution function of a system remains unchanged with the system evolution, $$ \frac{\text{d}\rho}{\text{d}t}=\frac{\partial \rho}{\partial t}+\sum_{i=...
Roger V.'s user avatar
  • 60.3k
17 votes
14 answers
17k views

Why do rain drops fall with a constant velocity?

While reading my physics book. I came across a line that says that: Rain drop falls with a constant velocity because the weight(which is the force of gravity acting on body) of the drop is balanced ...
user avatar
25 votes
4 answers
32k views

Why does the nature always prefer low energy and maximum entropy?

Why does the nature always prefer low energy and maximum entropy? I've just learned electrostatics and I still have no idea why like charges repel each other. http://in.answers.yahoo.com/question/...
Know Nothing's user avatar
2 votes
1 answer
6k views

Estimate the reaction force on each leg of a 4-legged table

Assume you have a table with four legs with a weight placed somewhere inside the boundary created by the legs. The task is to determine the reaction force at each leg. Here are the problem ...
Kyle's user avatar
  • 23
13 votes
5 answers
1k views

Adiabatic piston: why is Callen's argument flawed?

This question is related to this one. I would ask you to read that question and my answer to the question itself before answering this one. The problem is the following. In his book Thermodynamics, ...
valerio's user avatar
  • 16.4k
7 votes
1 answer
2k views

What's the point with equilibrium in thermodynamics?

All the thermodynamics books I saw until now state that in thermodynamics we are mainly concerned with equilibrium states (I know there's "non-equilibrium thermodynamics", but I'm interested ...
Gold's user avatar
  • 36.4k
7 votes
5 answers
631 views

Slow thermal equilibrium

I have a question which is inspired by considering the light field coming off an incandescent lightbulb. As a blackbody radiation field, the light is in thermal equilibrium at temperature $T$, which ...
Emilio Pisanty's user avatar
5 votes
1 answer
3k views

Definitions in thermodynamics: temperature, thermal equilibrium, heat

I'm currently reading Fermi's "Thermodynamics" and I'm trying to grasp the (possibly different) right definitions for temperature, thermal equilibrium, heat. To clarify, I'm looking for definitions ...
pppqqq's user avatar
  • 4,654
0 votes
4 answers
309 views

Why isn't this rod in neutral equilibrium?

Suppose that the rod shown below in figure(1) is balanced. So the torque about point $O$ is $Mg.x-mg.y=0$. [figure(1)] Then imagine than M is lifted a little bit up making an angle of $\theta$ with ...
ACB's user avatar
  • 2,578

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