The free energy and other thermodynamic properties of hexagonal-close-packed iron are calculated by direct ab initio methods over a wide range of pressures and temperatures relevant to the Earth’s core. The ab initio calculations are based on density-functional theory in the generalized-gradient approximation, and are performed using the projector augmented wave approach. Thermal excitation of ...

In this paper, we obtain exact phantom (A)dS black hole solutions in the context of $F(R)$ gravity with topological spacetime four dimensions. Then, study effects different parameters on event horizon. following, calculate conserved and thermodynamic quantities system check first law thermodynamics for these kinds holes. Next, evaluate local stability holes by studying heat capacity geometrothe...

In this work, the distance between a quark-antiquark pair is analyzed through both confinement potential and hadronic total cross- section. Using Helmholtz free energy, entropy calculated near minimum of cross-section potential. A fitting procedure for proton-proton section carried out, defining fit parameters. Therefore, only remaining parameter in model mass-scale к used to define running cou...

Thermodynamics has recently been extended to small scales with resource theories that model heat exchanges. Real physical systems exchange diverse quantities: heat, particles, angular momentum, etc. We generalize thermodynamic resource theories to exchanges of observables other than heat, to baths other than heat baths, and to free energies other than the Helmholtz free energy. These generaliza...

We present tensor-product divergence-free and curl-free wavelets, and define associated projectors. These projectors permit the definition of an iterative algorithm to compute the Helmholtz decomposition in wavelet domain of any vector field. This decomposition is localized in space, in contrast to the Helmholtz decomposition calculated by Fourier transform. Then we prove the convergence of the...

This paper evaluates the solution effects of different Rayleigh-Plesset models (R-P) for simulating the growth/collapse dynamics and thermal behaviour of homogeneous gas bubbles. The flow inputs used for the discrete cavitation bubble calculations are obtained from Reynolds-averaged Navier-Stokes simulations (RANS), performed in high-pressure nozzle holes. Parametric 1-D results are presented f...

The density and temperature dependence of the structural relaxation time (tau) in water was determined by inelastic ultraviolet scattering spectroscopy in the thermodynamic range (P=1-4000 bars, T=253-323 K), where several water anomalies take place. We observed an activation (Arrhenius) temperature dependence of tau at constant density and a monotonic density decrease at constant temperature. ...

It is known that entropy of black hole gets correction at quantum level. Universally, these corrections are logarithmic and exponential in nature. We analyze the impacts on thermodynamics Born–Infeld BTZ massive gravity by considering both such kinds correction. do comparative analysis corrected with their equilibrium values. Here, we find yields to second point first-order phase transition. Al...

We show that the free energy of the topological string admits a certain pole structure by using the operator formalism. Combined with the results of Peng that proved the integrality, this gives a combinatoric proof of the Gopakumar–Vafa conjecture.

Rubber-like materials exhibit stress softening when subject to loading–unloading cycles, i.e., the Mullins effect. However, this phenomenon can be recovered after annealing previously stretched sample under a stress-free state. The aim of paper is establish constitutive model with thermodynamic consistency account for and thermal recovery. Towards goal, (i) an explicit form Helmholtz free energ...