112,414 research outputs found
Entropy Production in Relativistic Binary Mixtures
In this paper we calculate the entropy production of a relativistic binary
mixture of inert dilute gases using kinetic theory. For this purpose we use the
covariant form of Boltzmann's equation which, when suitably transformed, yields
a formal expression for such quantity. Its physical meaning is extracted when
the distribution function is expanded in the gradients using the well-known
Chapman-Enskog method. Retaining the terms to first order, consistently with
Linear Irreversible Thermodynamics we show that indeed, the entropy production
can be expressed as a bilinear form of products between the fluxes and their
corresponding forces. The implications of this result are thoroughly discussed
Indigenous Institutional Inclusion
While attending James Cook University (JCU) in Cairns, Australia and researching Arizona University (UA) in Tucson, Arizona, I noticed differences concerning the inclusion of Indigenous representation within their educational institutions.While UA focuses on academic education and community outreach through external concentration, JCU focuses on positive cultural awareness and acts of reconciliation through internal concentration. The influence of colonization in both the United States and Australia contributed to the presence, or lack, of tribal sovereignty in Indigenous communities therefore effecting federal recognition, reconciliation, and government funding which ultimately impacted the school systems
Local yield stress statistics in model amorphous solids
We develop and extend a method presented in [S. Patinet, D. Vandembroucq, and
M. L. Falk, Phys. Rev. Lett., 117, 045501 (2016)] to compute the local yield
stresses at the atomic scale in model two-dimensional Lennard-Jones glasses
produced via differing quench protocols. This technique allows us to sample the
plastic rearrangements in a non-perturbative manner for different loading
directions on a well-controlled length scale. Plastic activity upon shearing
correlates strongly with the locations of low yield stresses in the quenched
states. This correlation is higher in more structurally relaxed systems. The
distribution of local yield stresses is also shown to strongly depend on the
quench protocol: the more relaxed the glass, the higher the local plastic
thresholds. Analysis of the magnitude of local plastic relaxations reveals that
stress drops follow exponential distributions, justifying the hypothesis of an
average characteristic amplitude often conjectured in mesoscopic or continuum
models. The amplitude of the local plastic rearrangements increases on average
with the yield stress, regardless of the system preparation. The local yield
stress varies with the shear orientation tested and strongly correlates with
the plastic rearrangement locations when the system is sheared correspondingly.
It is thus argued that plastic rearrangements are the consequence of shear
transformation zones encoded in the glass structure that possess weak slip
planes along different orientations. Finally, we justify the length scale
employed in this work and extract the yield threshold statistics as a function
of the size of the probing zones. This method makes it possible to derive
physically grounded models of plasticity for amorphous materials by directly
revealing the relevant details of the shear transformation zones that mediate
this process
SU(6)SU(3)xSU(2) and SU(8)SU(4)xSU(2) Clebsch-Gordan coefficients
Tables of scalar factors are presented for 63x63 and 120x63 in
SU(8)SU(4)xSU(2), and for 35x35 and 56x35 in
SU(6)SU(3)xSU(2). Related tables for SU(4)SU(3)xU(1) and
SU(3)SU(2)xU(1) are also provided so that the Clebsch-Gordan
coefficients can be completely reconstructed. These are suitable to study
meson-meson and baryon-meson within a spin-flavor symmetric scheme.Comment: 30 pages, mostly table
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