# Tag Info

8

If you're trying to simulate a 2D solution of the Laplace equation (which is the only unambiguous reading of your post as currently stated; if that's not what you're doing then you should clarify your question with exactly what it is you're doing and how), then your code is wrong. The reason is that your results don't obey the maximum principle: a harmonic ...

1

I know that in Full Configurational Interaction Quantum Monte Carlo(FCIQMC), where they start from the Schrödinger equation and sample the full configurational space with integer walkers, there is a spontaneous symmetry breaking between the $\Psi$ and $-\Psi$ after a sufficient number of walkers are spawned into the configurational space. It treats the ...

2

The point is there's several $W$'s. $$\rho_i=\sum_j W(\mathbf{p}_i-\mathbf{p}_j,h)=W(\mathbf{p}_i-\mathbf{p}_1,h)+W(\mathbf{p}_i-\mathbf{p}_2,h)+\ldots$$ dropping the mass as they do in the paper. The thing is they're treating the particles as indistinguishable e.g. they all have equal mass, so the form of the functions/constraints applied to them are the ...

1

it actually transmits pulses on light through the optical fibers which can be considered as zeros and ones. Like if there is light it is one and otherwise it is zero. Eventhough you are transmitting the light there are loses due to the quantun short noise and TIR loses. So in order to modify the signal to its orginal state the network uses the optical ...

2

An insect that gallops was reported in 2013. See http://www.cell.com/current-biology/abstract/S0960-9822(13)01178-0.

2

Two intuitions just occurred to me that led me to modify my previous answer. If you want to read my previous answer you can find it on my blog. 1) First I'll approach the problem of analyzing the following statement in the question: 'In order for a hexapod to gallop the middle pair of legs must be in phase with the front pair or the back pair. And in order ...

5

I really like your points and conjecture, though I disagree! So before getting to the point of the original question, I'd like to offer some comments and thoughts that can stimulate further independent thought. Definition Yours is a very good definition, and it is almost the exact definition we (the community) use for differentiating running from walking: ...

7

Even tetrapods have many different gaits, each of them has its characteristics (horses are masters of switching between them). Gallop is special because some of the time, all the limbs are in the air. Not a lot of tetrapods gallop. An important fact here: only mammals developed sufficiently sophisticated motor control over their bodies to be able to move ...

0

No, you don't have to write flow equations for solid part of the billet (sounds like a trivial statement), but you will have to take into account vertical velocity $u_z$ of solid billet while solving energy equation. Under certain conditions you may neglect this as well and treat the problem as one of pure conduction to a good approximation. This happens ...

2

A very well-known example is atomic weapons. It is much easier to build a device and test it than it is to simulate it: it took a very long time before simulations of existing designs and small variations on them became convincing enough that people had any faith in them at all, and I believe that we can really only use simulations now because it became ...

8

Virtually all experiments (at least in condensed matter physics) fall under this category. Unlike in high energy, where we're actually testing fundamental physical theories, at the energy scales of condensed matter, we are quite confident that in principle, the many-body nonrelativistic Schrodinger equation runs the whole show. (Perhaps with relativistic ...

0

One possible solution: I figured out a possible solution to this problem. 1. Get the inner product of center block $M_{a_la_r,a_l'a_r'}=\Psi_{a_l,a_r}^{\sigma_c}\Psi^{\sigma_c}_{a_l',a_r'}$, here $\sigma_c$ is the physical indices for center block. 2. perform cholesky(if not able to perform it in rank revealing way, use eigen-value decomposition instead) ...

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