1,288 reputation
519
bio website
location
age
visits member for 2 years, 10 months
seen yesterday

Apr
5
awarded  Benefactor
Apr
5
accepted Formalism to deal with discontinuous potentials in classical mechanics (hard wall, hard spheres)
Apr
2
comment Formalism to deal with discontinuous potentials in classical mechanics (hard wall, hard spheres)
oops, I have awfully miscalculated the time. If somebody cares, the correct reasoning should be following: The distance traveled is $\varepsilon E_0 = v_0 (\tau / 2) - 1/2 \, \varepsilon (\tau/2)^2 $. If we divide this expression by $\varepsilon$, will get the answer in the form $\tau = \varepsilon f(E,v_0)$ which is linear in $\varepsilon$.
Apr
1
comment Hamiltonian function for classical hard-sphere elastic collision
Milton, have a look at my related question physics.stackexchange.com/questions/105318 As for you derivation, I bet your calculation of $\Delta P_1$ is wrong, you should conduct the integration more accurately with greater level of details.
Mar
31
comment Formalism to deal with discontinuous potentials in classical mechanics (hard wall, hard spheres)
If noone comes with an elegant framework which would avoid potential regularisation in the remaining bounty time, I will accept Qmechanic's answer.
Mar
31
comment Formalism to deal with discontinuous potentials in classical mechanics (hard wall, hard spheres)
Yes, this regularized potential works as a charm. It reverses the initial velocity and the penetration depth in the realm $x > 0$ is $\varepsilon E$, while the time spent here is $1/2 \, \pi \sqrt{\varepsilon m}$. Both these expressions go to zero with $\varepsilon \to 0^+$. I have one question though, how did you come up with this potential? Of course it is possible and probable to deduce it, but I bet you just had the right analogy from you experience. Is it so?
Mar
29
awarded  Promoter
Mar
27
asked Formalism to deal with discontinuous potentials in classical mechanics (hard wall, hard spheres)
Mar
13
awarded  Popular Question
Jan
6
comment some hints/introductions/textbooks for LBM(Lattice Boltzmann methods) fluid simulation?
Palabos website palabos.org/software/lattice-boltzmann-method links to a brief video overview youtube.com/watch?v=I82uCa7SHSQ
Jul
24
revised Where else in physics does one encounter Reynolds averaging?
added 3 characters in body
Jul
24
asked Where else in physics does one encounter Reynolds averaging?
Jun
21
revised Physical interpretation of Poisson bracket properties
added 32 characters in body
Jun
14
awarded  Yearling
May
17
comment How do we simulate Nuclear explosion?
what aspect of Nuclear explosion do you want to simulate?
May
15
comment Physical interpretation of Poisson bracket properties
What is the physical meaning of your treatment of antisymmetry? Why should it be so?
May
14
comment Physical interpretation of Poisson bracket properties
So basically you state that Poisson structure arises from the fact that we describe system evolution as a vector field generated by a Hamiltonian and Poisson structure is just desired properties of vector fields lifted (not a term) to scalar functions, am I right?
May
13
asked Physical interpretation of Poisson bracket properties
May
6
accepted Equations of fluid dynamics and differential geometry
May
6
answered Equations of fluid dynamics and differential geometry