684 research outputs found

    Self-diffusion for a weakly-coupled plasma in a magnetic field

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    The longitudinal self-diffusion coefficient for a magnetized plasma with a small plasma parameter is calculated from kinetic theory in the weak-coupling approximation. Asymptotic expressions for this coefficient are derived in the limits of weak and of strong magnetic field. For intermediate strength of the magnetic field numerical results are presented

    Sums of products of Ramanujan sums

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    The Ramanujan sum cn(k)c_n(k) is defined as the sum of kk-th powers of the primitive nn-th roots of unity. We investigate arithmetic functions of rr variables defined as certain sums of the products cm1(g1(k))...cmr(gr(k))c_{m_1}(g_1(k))...c_{m_r}(g_r(k)), where g1,...,grg_1,..., g_r are polynomials with integer coefficients. A modified orthogonality relation of the Ramanujan sums is also derived.Comment: 13 pages, revise

    Non-perturbative equivalences among large N gauge theories with adjoint and bifundamental matter fields

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    We prove an equivalence, in the large N limit, between certain U(N) gauge theories containing adjoint representation matter fields and their orbifold projections. Lattice regularization is used to provide a non-perturbative definition of these theories; our proof applies in the strong coupling, large mass phase of the theories. Equivalence is demonstrated by constructing and comparing the loop equations for a parent theory and its orbifold projections. Loop equations for both expectation values of single-trace observables, and for connected correlators of such observables, are considered; hence the demonstrated non-perturbative equivalence applies to the large N limits of both string tensions and particle spectra.Comment: 40 pages, JHEP styl

    Multifragmentation of non-spherical nuclei

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    The shape influence of decaying thermalized source on various characteristics of multifragmentation as well as its interplay with effects of angular momentum and collective expansion are first studied and the most pertinent variables are proposed. The analysis is based on the extension of the statistical microcanonical multifragmentation model.Comment: 5 pages, 4 figure

    Generalization of procedural motor sequence learning after a single practice trial

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    When humans begin learning new motor skills, they typically display early rapid performance improvements. It is not well understood how knowledge acquired during this early skill learning period generalizes to new, related skills. Here, we addressed this question by investigating factors influencing generalization of early learning from a skill A to a different, but related skill B. Early skill generalization was tested over four experiments (N = 2095). Subjects successively learned two related motor sequence skills (skills A and B) over different practice schedules. Skill A and B sequences shared ordinal (i.e., matching keypress locations), transitional (i.e., ordered keypress pairs), parsing rule (i.e., distinct sequence events like repeated keypresses that can be used as a breakpoint for segmenting the sequence into smaller units) structures, or possessed no structure similarities. Results showed generalization for shared parsing rule structure between skills A and B after only a single 10-second practice trial of skill A. Manipulating the initial practice exposure to skill A (1 to 12 trials) and inter-practice rest interval (0–30 s) between skills A and B had no impact on parsing rule structure generalization. Furthermore, this generalization was not explained by stronger sensorimotor mapping between individual keypress actions and their symbolic representations. In contrast, learning from skill A did not generalize to skill B during early learning when the sequences shared only ordinal or transitional structure features. These results document sequence structure that can be very rapidly generalized during initial learning to facilitate generalization of skill
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