Fractional dynamics of relativistic particle is discussed. Derivatives of fractional orders with respect to proper time describe long-term memory effects that correspond to intrinsic dissipative processes. Relativistic particle subjected to a non-potential four-force is considered as a nonholonomic system. The nonholonomic constraint in fourdimensional space-time represents the relativistic inv...

We characterize all the phase space measurements for a non-relativistic particle.

The viscous inhomogeneities of a relativistic plasma determine a further class of entropic modes whose amplitude must be sufficiently small since curvature perturbations are observed to be predominantly adiabatic and Gaussian over large scales. When the viscous coefficients only depend on the energy density of the fluid the corresponding curvature fluctuations are shown to be almost adiabatic. ...

The last few years have seen an explosion of interest in hydrodynamic effects interacting electron systems ultra-pure materials. One such material, graphene, is not only excellent platform for the experimental realization flow electrons, but also allows a controlled derivation equations on basis kinetic theory. resulting theory electronic transport graphene yields quantitative predictions exper...

We extend our previous studies of shock waves and shock-free solutions in thin accretion and winds in pseudo-Newtonian geometry to the case when the flow is two-dimensional and around a Kerr black hole. We present equations for fully general relativistic viscous transonic flows and classify the parameter space according to whether or not shocks form in an inviscid flow. We discuss the behaviors...

We introduce "local uncertainty relations" in thermal many body systems. Using these relations, we derive basic bounds. These results include the demonstration of universal non-relativistic speed limits (regardless interaction range), bounds on acceleration or force/stress, material stress rates, transport coefficients (including diffusion constant and viscosity), electromagnetic other gauge fi...

Abstract The energy conditions are studied, in the relativistic astrophysical setting, for higher-dimensional Hawking–Ellis Type I and II matter fields. null, weak, dominant strong investigated a inhomogeneous, composite fluid distribution consisting of anisotropy, shear stresses, non-vanishing viscosity as well null dust string density. These expressed system six equations variables where pres...

ABSTRACT We study the evolution of accretion disk around a supermassive binary black hole with equal mass using non-relativistic hydrodynamical simulations performed FARGO3D. Compared previous studies Newtonian hydrodynamics, here, we adopt post-Newtonian (PN) hydrodynamics near zone metric hole. In contrast to investigation, find that there is dramatic difference in PN regime, gap formed by ci...

The Relativistic Heavy Ion Collider (RHIC) was built to re-create and study in the laboratory the extremely hot and dense matter that filled our entire universe during its first few microseconds. Its operation since June 2000 has been extremely successful, and the four large RHIC experiments have produced an impressive body of data which indeed provide compelling evidence for the formation of t...