An entanglement transformation protocol allows us to obtain two copies of a target stateωfor every three copies of an initial stateρ, with the transformation error improving as more copies ofρare provided. More generally, the initial global state is represented by ann-fold tensor product\({\r...
Second-invariant-preserving Remap of the 2D deviatoric stress tensor in ALE methodsdoi:10.1016/j.camwa.2018.06.012Matěj KlímaMilan KuchaíkJan VelechovskMikhail ShashkovPergamon
It is important to note that the material volume fraction remains invariant across all DNS models. The DNS models are created as a periodic array from the unit cell, where different cell sizes are defined. For illustration purposes, Fig. 17 shows three coarser DNS models. Regarding the ...
Table 5 contrasts yield functions which employ a single invariant (von Mises, J2), or multiple invariants (J2/J3) with anisotropic yield surfaces [Hill (Hill 1948), Cazacu–Plunkett–Barlat (Cazacu et al. 2006)]. The labels Hill and CPB06 represent the Hill and Cazacu–Plunkett–Barlat ...
is still Weyl-invariant at D=2, since it is homogeneous of order zero in the zweibeins, and also simplifies drastically, since we may write ø µab ≡ ǫ ab ø µ , thereby reducing R µνab to the abelian form ǫ ab (∂ µ ø ν −∂ ν ø µ ) and...
2) the second stress invariant 应力第二不变量3) the first stress invariable 第一应力不变量4) the invariants of the stress deviator 偏应力张量不变量5) second adiabatic invariant 第二绝热不变量6) tensor invariant 应力不变量 1. Based on the spherical tensor invariant and the deviator ...
However, it is still uncertain which quantities are gauge-invariant at second-order and their physical understanding therefore remains unclear. As an attempt to understand second order quantities, we consider a general non-canonical scalar field, minimally coupled to gravity, on the unperturbed FRW ...
However, the null energy condition can be violated, even classically, when the non-minimal coupling of matter fields to gravity is considered. Considering small dynamical perturbations around stationary black holes in diffeomorphism invariant theories of gravity with non-minimal coupling to scalar or ...
However, it is still uncertain which quantities are gauge-invariant at second-order and their physical understanding therefore remains unclear. As an attempt to understand second order quantities, we consider a general noncanonical scalar field, minimally coupled to gravity, on the unperturbed FRW back...
Specializing to the case of transversally homogeneous and boost-invariant longitudinal expansion of the viscous medium, we compare the results obtained using the above methods with those obtained from the exact solution of the massive 0+1d relativistic Boltzmann equation in the relaxation-time ...