The process of the Joule–Thomson adiabatic expansion within rational NED (RNED)-AdS spacetime is investigated. isenthalpic $$P{-}T$$ diagrams and inversion temperature are depicted. depends on magnetic charge RNED coupling constant black holes. When coefficient vanishes, a cooling-heating phase transition occurs. We consider cosmological as thermodynamic pressure, hole mass treated chemical ent...

The domination by Local Thermal Non-Equilibrium (LTNE) with regard to the onset of Darcy-Rayleigh-Benard-Marangoni (DRBM) convection swayed magnetic field in a composite layer set-up is studied pertinent incompressible fluid. precinct above fluid presumed be free and that below porous rigid. Regular perturbation technique exercised on acquired problem achieve analytical solution taking adiabati...

The theory of adiabatic invariants has a long history, and very important implications and applications in many different branches of physics, classically and quantally, but is rarely founded on rigorous results. Here we treat the general timedependent one-dimensional harmonic oscillator, whose Newton equation q̈+ω(t)q = 0 cannot be solved in general. We follow the time-evolution of an initial e...

We show the set of faithful representations of a closed orientable hyperbolic surface group is dense in both irreducible components of the PSL2(K) representation variety, where K = C or R, answering a question of W. Goldman. We also prove the existence of faithful representations into PU(2, 1) with certain nonintegral Toledo invariants.

We consider the hydrodynamic evolution of a quark-gluon gas with nonzero quark masses and net baryon number in its phase diagram. For far-off-equilibrium initial conditions expansion trajectories appear to violate simple rules based on second law thermodynamics that were previously established for ideal or weakly dissipative fluids. Bjorken flow we present detailed analysis within kinetic theor...

We present a model of space that considers it to be a quantized dynamical entity which is a component of the universe along with matter and radiation. The theory is used together with thermodynamic data to provide a new view of cosmic evolution and an insight into the nature of dark energy and dark matter. Space is made up of energy quanta. The universe started from an atomic size volume at ver...

The crepant resolution conjecture states that the Gromov–Witten invariants of an orbifold X should be determined in a precise way by the Gromov–Witten invariants of a crepant resolution of its coarse moduli space. We compute the Gromov–Witten invariants of the stack symmetric square of P 2 and compare them with the Gromov– Witten invariants of its crepant resolution, Hilb 2 P 2 (which were comp...