# Questions tagged [dissipation]

The tag has no usage guidance.

367 questions
Filter by
Sorted by
Tagged with
14 views

### Virial theorem for two particle inelastic collision

Consider two point masses separated by a large distance R so that their initial potential energy can be considered 0. They are both at rest with respect to the Centre of Mass (COM) reference frame so ...
33 views

### Can light travel in closed loops indefinitely? [closed]

For simplicity, consider the two dimensional space. My question is that can there be a refractive index $(x, y)\mapsto n(x, y)$ such that the there is at least one closed permissible path (which can ...
35 views

### Overdamped dynamics and minimization principles

Most physicists are familiar with Hamilton's principle, which allows us to derive the equations of classical mechanics from the principle of stationary action, $$\delta S=0.\tag{1}$$ At the same time, ...
19 views

### Conservative vs Dissipative Forces

I will be speaking very loosely since I am not a physicist. Say a system evolves via a dissipative force, then usually as time moves on some energy functional will be decreasing. If a system has both ...
40 views

### Where did the boundary conditions go in the frequency-space solution to the Green's function for a damped harmonic oscillator?

In differential equations, Green's functions are only defined given boundary conditions. In fact, you need two of them for a second order differential equation. In a lot of physics lecture notes, a ...
41 views

### How to derive the response function of $m\ddot x + \gamma \dot x + kx = f$?

In a lecture on fluctuation-dissipation theorem, it is stated that EOM: $m\ddot x + \gamma \dot x + kx = f$ Response function $\chi(\omega) = (-m \omega^2 + i\gamma \omega + > k)^{-1}$ However, I ...
35 views

### When is static friction dissipative and when it is non-dissipative?

In some cases, like in pure rolling, static friction is non-dissipative in nature. So, how can we identify when is static friction dissipative or non-disspative?
66 views

### How do I account for damping on structural vibrations?

I want to know what terms to add to the differential equation for structural vibrations to account for structural damping. Not external damping, but internal damping. I consider the transfer of energy ...
80 views

### Why does an exact differential mean a force is conservative?

If you can express an integrand as an expression of just one variable i.e. $xdy + ydx = d(xy) = df$ then why does that mean that a loop integral on that will equal 0? Is it because if it is just a ...
38 views

### Energy dissipation due to displacement current

Consider the following problem: An isolated capacitor made of parallel circular plates of radius $a$ separated by a distance $d \gg a$ is charged such that there is a potential difference $V$ between ...
32 views

### Where to begin with the Rayleigh Dissipation Function?

I'm a final year student of mechanical engineering. Calculus of Variations isn't a part of our syllabus. I'm trying to understand the Rayleigh Dissipation function, and I understand that this is a ...