It is shown that that the area law for the entropy of a quantum eld in a Kerr space-time is due to the quantum statistics with the maximal entropy principle. The entropies for one particle, a Boltzmann gas, a quantum mechanical gas obeying Bose-Einstein or Fermi-Dirac statistics, and a quantum eld in the Kerr space-time are calculated using the microcanonical ensemble approach and the brick wal...

We present evidence which con rms a suggestion by Susskind and Uglum regarding black hole entropy. Using a Pauli-Villars regulator, we nd that 't Hooft's approach to evaluating black hole entropy through a statistical-mechanical counting of states for a scalar eld propagating outside the event horizon yields precisely the one-loop renormalization of the standard Bekenstein-Hawking formula, S = ...

The standard approach of counting the number of eigenmodes of N scalar fields near the horizon is used as a basis to provide a simple statistical mechanical derivation of the black hole entropy in two and four dimensions. The Bekenstein formula S = A 4Gh̄ and the two-dimensional entropy S = 2M/λh̄ are naturally obtained (up to a numerical constant of order 1). This approach provides an explanatio...

The chemical disorder intrinsic to high entropy alloys inevitably creates diffuse scattering in their x-ray or neutron diffraction patterns. Through first principles hybrid Monte Carlo/molecular dynamics simulations of two BCC high entropy alloy forming compounds, CrMoNbV and NbTiVZr, we identify the contributions of chemical disorder, atomic size and thermal fluctuations to the diffuse scatter...

We present an outlook on the climate system thermodynamics. First, we construct an equivalent Carnot engine with efficiency eta and frame the Lorenz energy cycle in a macroscale thermodynamic context. Then, by exploiting the second law, we prove that the lower bound to the entropy production is eta times the integrated absolute value of the internal entropy fluctuations. An exergetic interpreta...

Quantum-mechanical entropies of position and momentum operators in a given state are shown to be reasonable and sensitive measures for squeezing of quantum fluctuations. It is shown to be true not only for states having Gaussian wave functions but also for more general, both pure and mixed, quantum states. A simple proof that the squeezing exhibited by the variance is always accompanied by a co...

In this exposition we prove an existence theorem for a quantum mechanical dynamical entropy based on von-Neumann’s measurement theory. To that end we introduced a Shannon type of information associated with a quantum channel or measurement based on Araki’s relative entropy. This is an invariance for the dynamics which generalizes Kolmogorov-Sinai ’s notion of dynamical entropy of a measure pres...