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Questions and Remarks:

Q: In question 4, we need to find the correlation function defined as a mean, but it's not very clear over what this mean in taken; I would take it over the thermal equilibrium but we're studying the dynamics so I'm confused.

A: In question 4, it is precised : «You have the freedom to chose the initial condition (e.g. fixed direction, or distributed with the equilibrium distribution), but be consistent: choose the same for the analytical computation and for the numerical evaluation.» It means that the randomness to average when measuring C(t,Δt) is twofold:
- in the initial condition, drawn from an initial distribution (fixed spin, or spin drawn from the equilbrium distribution, as mentionned)
- and in the dynamics (i.e. the runs of your algorithm).

## Please ask your questions below by directly editing the page

To edit the page, you have to become a member of the wiki by clicking on the Join link (top-right of the page), or by sending an email to one of us.

You can insert math formulæ using LaTeX code:

e.g.typingyields:

Remark: to get anemail notificationfor when this page is updated/modified, click on the dots...on the edit toolbar, and tune your preferences in the 'Notify' submenu.## Questions and Remarks:

- Vivien.Lecomte Nov 29, 2014Q: In question 4, we need to find the correlation function defined as a mean, but it's not very clear over what this mean in taken; I would take it over the thermal equilibrium but we're studying the dynamics so I'm confused.A: In question 4, it is precised : «You have the freedom to chose theinitial condition(e.g. fixed direction, or distributed with the equilibrium distribution), but be consistent: choose the same for the analytical computation and for the numerical evaluation.» It means that the randomness to average when measuringC(t,Δt) is twofold:- in the

initial condition, drawn from an initial distribution (fixed spin, or spin drawn from the equilbrium distribution, as mentionned)- and in the dynamics (

i.e.the runs of your algorithm).

- Vivien.Lecomte Dec 4, 2014Q: in Q4, what do you mean by tranfer matrix? Are you referring to the Markov matrix Mab = p(b->a)?A: indeed, we called this matrix the Markov matrix in Tutorial this year. It is called (up to a transposition) the transfer matrix in the SMAC book.