We consider the relativistic deformation of quantum waves and mechanical bodies carrying intrinsic angular momentum (AM). When observed in a moving reference frame, the centroid of the object undergoes an AM-dependent transverse shift. This is the relativistic analogue of the spin-Hall effect, which occurs in free space without any external fields. Remarkably, the shifts of the geometric and en...

In this paper, at first we have formulated the lowest order constrained variational method for the relativistic case of an interacting fermion system at finite temperature. Then we have used this formalism to calculate some thermodynamic properties of liquid in the relativistic regime. The results show that the difference between total energies of relativistic and non-relativistic cases of liqu...

We investigate a quantum non-relativistic system describing the interaction of two particles with spin 1/2 and 0, respectively. Assuming that Hamiltonian is rotationally invariant parity conserving we identify all such systems which allow additional (pseudo)tensor integrals motion are second order matrix polynomials in momenta. Previously found (pseudo)scalar (axial)vector motion. No non-obviou...

We study local spin polarization in the relativistic hydrodynamic model. Generalizing Wigner functions previously obtained from chiral kinetic theory by Y. Hidaka et al. [Phys. Rev. D 97, 016004 (2018)] to massive case, we present possible contributions up order of $\hbar$ thermal vorticity, shear viscous tensor, other terms associated with temperature and chemical-potential gradients, electrom...

Batra [1] used a linear relationship between the second Piola-Kirchhoff stress tensor S and the Green-St. Venant strain tensor E to study finite simple shearing and finite simple extension deformations of an elastic body. In each case he found that the tangent modulus (i.e. the slope of the shear stress vs. the shear strain curve or the slope of the axial stress vs. the axial stretch curve) is ...

Submitted for the DFD08 Meeting of The American Physical Society Deformation of Elastic Particles in Viscous Shear Flow TONG GAO, HOWARD HU, University of Pennsylvania — The dynamics of two dimensional elastic particles in a Newtonian viscous shear flow is studied numerically. A constitutive equation is constructed for an incompressible “Neo-Hookean” elastic solid where the extra stress tensor ...

The existence and uniqueness of the so-called critical state in soil mechanics is validated in our DEM simulations of irregular polygonal particles. « For different particle shape characteristics„ The critical state is found to be independent of the initial stress and density.» We retain low stress levels, since we do not take into account the crushing of particles. « »In biaxial test simulatio...