1a. This 2-Fe unit cell has primitive in- plane lattice vectors R1 = Rx − Ry and R2 = Rx + Ry, which generate a Brillouin zone, defined by the coordinates k1 = kx − ky, k2 = kx + ky and kz, as shown in the inset of Fig. 1b. In this 2-Fe Brillouin zone, the ...
Without a barrier, such a wave packet has the form (ℏ = 1) $$\psi ^0(x,t) = {\int} A(k)\exp [ikx - iE(k)t]{\rm{d}}k = {\mathrm{exp}}[ipx - iE(p)t]G(x,t),$$ (3) where we have separated the smooth envelope G, which will play an important part in...
The nonlinear function f(⋅; r) depends on Ψ(r) and its derivative, and has no internal degrees of freedom. Since the quantum Hall system has U(1) and translation symmetries, we impose them on the nonlinear equation to study the analogy of such a prototypical topological insulator. ...
The interior has z > 0 with t and x unbounded. The boundary is at z = 0, and all coordinates become large as the Poincar´e horizons are approached. 2.3 Extremal coordinates and patch We also introduce "extremal coordinates" for AdS3, 1 t= 2 T +X − RH R2 − RH2 − e2RH...
The one-to-one character of EPYC1-Rubisco specific bonds is guaranteed by the Lennard-Jones repulsion between EPYC1 binding sites, which prevents them from binding to the same Rubisco binding site, and by an additional soft repulsion (with the same functional form as Equation (1) and ϵ=+...
Z(k,ω)=Rρ(0)ω(ω2cs−2−k2)[ω2m(k,ω)+ig(k2−0.5ω2γcs−2)], (6) whereρ(0) andR ~ 1.3 × 10−3are the water density and the ratio of the air and water densities at the ocean surface. In Equation (6), the sign of the vertical componentm(k...
Figure 1. The EccC ATPase Has a Unique, Conserved Domain Structure and Binds to the EsxB Signal Sequence (A) Domain structure of the EccC and EssC ATPases. (B) Size exclusion chromatography showing that TcEsxB binds to TcEccC(cyto) and induces a large shift in elution volume. (C) Ye...
A spring-mass system has natural frequency of 5 r/s. It subjects to a damping ratio of 0.2 when placed in the air. Given initial conditions {x(0=0),& =0.5 m/s},determine the system?s frequency of v Cons...
If the system is near a Turing bifurcation but away from the Hopf bifurcation, the system obeys (2a) with ct = 0, i.e., the real GL equation. The solution of the system is a pattern with wavenumber kc + R, where the values of R for stability are determined by Eckhaus sta...
10.1038/ncomms11582 OPEN The fin-to-limb transition as the re-organization of a Turing pattern Koh Onimaru1,2,3, Luciano Marcon1,2, Marco Musy1,2, Mikiko Tanaka3 & James Sharpe1,2,4 A Turing mechanism implemented by BMP, SOX9 and WNT has been proposed to control mouse digit patterning...