The Stack Overflow podcast is back! Listen to an interview with our new CEO.

Questions tagged [kinetic-theory]

Kinetic theory is part of statistical physics. DO NOT USE THIS TAG for macroscopic kinematics. In this case, use the tag [tag:kinematics] instead.

459 questions
Filter by
Sorted by
Tagged with
53 views

Is internal energy a function of pressure?

I read that internal energy is a function of temperature only and not pressure. But say, we compress a volume of gas. Won't the particles start moving more quickly? Meaning an increase in their ...
29 views

Law of equipartition of energy, shouldn't kinetic energy per molecule by $(3/2)kT/f$

I study that according to the law of equipartition of energy the average kinetic energy associated with each degree of freedom is equal to $(1/2)kT$. But shouldn't it be $\frac{(3/2)kT}{f}$ where $f$ ...
32 views

14 views

Is Lithium Plating possible at the cathode, too?

When talking about the Failure Mode 'Lithium Plating' in Lithium Ion batteries, in literature it is just described at the anode and I could not find answers to why it is not happening at the cathode, ...
25 views

Kinetics of thermal fluctuations in liquid

I have an instinct that tells me that particles in water at temperature $T$ should be receiving and emitting "quanta" of energy of size $kT$ at a certain rate $r$. My question is: what is $r$? This ...
49 views

Particle in kinetic gas theory without collision

Hello I have a (Gedankenexperiment) question about the kinetic gas theory. As far as I understand temperature corresponds to kinetic energy. Assume now there would be one particle that does not ...
1k views

How do we tell which part of kinetic energy gives rise to temperature?

I know that macroscopic temperature is a measure of kinetic energy of particles at very low scales (let's call it microscopic kinetic energy). But how can we derive which part of this microscopic ...
257 views

Why isn't temperature definable for a single, classical particle? [duplicate]

I read that the relation between temperature and kinetic energy of an ideal gas is only applicable to a large number of particles so that the mean value for kinetic energy has to be considered, so the ...
51 views

Is internal energy frame-dependent? [duplicate]

In the realm of kinetic theory of gases, the internal energy of gas is solely due to the sum of kinetic energies of all particles, since kinetic energy is frame dependent I was thinking whether a ...
27 views

Pressure in Bernoulli principle [duplicate]

In Bernoulli principle we say that as velocity increases the pressure of fluid decreases but it contradicts kinetic theory of gas which says that as velocity increase-pressure increases. And this ...
13 views

Reference Request: An introductory book on Kinetics, similar to Schroeder's on thermodynamics [duplicate]

I come from a statistics background and don't have much knowledge of physics. I need to gain bit of knowledge in statistical physics for one of the projects that I work on. I started looking at Reichl'...
45 views

Why are solutions in Chapman-Enskog formalism expressed via Sonine polynomials?

Before I posit my question, I would like to thank anyone willing to have a crack at it. I'm currently writing an assignment concerning the Chapman-Enskog method of expanding the probability density ...
89 views

What happens to the pressure and the temperature of a gas compressed adiabatically?

The set-up is basic. There is a piston that goes down, reducing the volume. The process is adiabatic, so the acquired energy is kept inside the gas. The ideal gas law states that as the volume ...
22 views

Sound and thin gas films: does the speed of sound become multi-valued?

The basic formula for the speed of sound in a gas $c=\sqrt{\left(\frac{\partial p}{\partial \rho}\right)_s}$ assumes that it is uniform, and thus that sound waves travel through the gas at one speed. ...
55 views

Kinetic Energy while melting

I have a question and its really bothering me. When a substance in its solid state is heated, then while it melts, the temperature does not increase. I used to assume that this is because the energy ...
41 views

Justification behind using probability density in kinetic gas theory

Let's consider an ideal gas, of some huge number of particles. The Maxwell-Boltzmann distribution describes the probability of measuring a particle speed in a range of speeds, through integration. ...
15 views

How to include the possiblity of Umklapp Scattering into transport calculations

I'm trying to calculate transport properties of a certain model with a Hamiltonian that has electron-electron interactions. I know that, in order to use the Boltzmann equation \begin{equation} 0=\...
28 views

67 views

Using Boltzmann distribution, what is the ratio of probabilities of two states?

I got the probability of state $i$ (in terms of Boltzmann distribution) as $$p_{i}=\frac{1}{Z_{i}}e^{-\epsilon _{i}/{kT}},$$ where $Z_{i}$ is the canonical partition function: Z_{i}=\sum_{i}e^{-\...
52 views

Validity of Maxwellian distribution for interacting particles?

I have read in a few (relatively credible) sources (e.g. Cambridge Tripos exam) that the Maxwell-Boltzmann speed distribution can be valid for interacting particles, but I have not been able to find a ...
49 views

Clausius paper “ On the motive power of heat & on the laws which can be deduced from it for the theory of heat”

My question is simple. Clausius expesses his fundamental proposition as follows: "In all cases in which work is produced by the agency of heat, a quantity of heat is consumed which is proportional to ...
31 views

59 views

What is the PDF of relative collision speeds in an ideal gas?

In the Kinetic theory of gases, the speeds of particles follow a Maxwell-Boltzmann distribution. However, what if one is interested in the distribution of relative collision speeds, aggregated over ...
482 views

Derive the kinetic gas equation [closed]

I need a proof of high school level I have confusion in taking probabilities in all directions not yet concluded this, and I need a proof using momentum i.e I need a high school level proof
55 views

Feynman's argument that at thermal equilibrium average kinetic energy of two gases are same

I had a hard time following Feynman's argument that when two different gases are present in the same box their average kinetic energy is the same at equilibrium. To quote from his book: ....Next, ...