The existing thermodynamics of the cosmological horizon in de Sitter spacetime is established in the micro-canonical ensemble, while the thermodynamics of black hole horizons is established in the canonical ensemble. Generally in the ordinary thermodynamics and statistical mechanics, both of the micro-canonical and canonical ensembles yield the same equation of state for any thermodynamic syste...

In this paper, the imaginary-time path-integral representation of the canonical partition function of a quantum system and nonequilibrium work fluctuation relations are combined to yield methods for computing free-energy differences in quantum systems using nonequilibrium processes. The path-integral representation is isomorphic to the configurational partition function of a classical field the...

Abstract We calculate the susceptibility of a canonical ensemble quantum oscillators to singular random metric. If covariance metric is $$\vert \textbf{x}-\textbf{x}^{\prime }\vert ^{-4\alpha }$$ | x - ′ 4 <m...

Generalizing previous quantum gravity results for Schwarzschild black holes from 4 to D ≥ 4 space-time dimensions yields an energy spectrum En = αn (D−3)/(D−2) EP,D , n = 1, 2, . . . , α = O(1) , where EP,D is the Planck energy in that space-time. This energy spectrum means that the quantized area AD−2(n) of the D−2 dimensional horizon has universally the form AD−2 = n aD−2, where aD−2 is essen...

We consider a S = 1 kagom! e Ising model with triquadratic interactions around each triangular face of the kagom! e lattice, single-ion anisotropy and an applied magnetic )eld. A mapping establishes an equivalence between the magnetic canonical partition function of the model and the grand canonical partition function of a kagom! e lattice-gas model with localized three-particle interactions. S...

We prove that certain scalar massless charged Green functions, found by Guimarães and Linet in the manifold around a straight cosmic string carrying a magnetic flux, can be analytically continued in the Rindler space together with the corresponding renormalized stress tensor. These functions seem to be related to grand-canonical ensemble states of a massless scalar charged field in the Rindler ...

Prediction of RNA tertiary structure from sequence is an important problem, but generating accurate structure models for even short sequences remains difficult. Predictions of RNA tertiary structure tend to be least accurate in loop regions, where non-canonical pairs are important for determining the details of structure. Non-canonical pairs can be predicted using a knowledge-based model of str...

We have initiated an entirely new approach to statistical mechanical models of strongly interacting systems where the configurational parameters and the potential energy function are both constructed so that the canonical partition function can be evaluated analytically. For a simplified model of proteins consisting of a single, fairly short polypeptide chain without cross-links, we can adjust ...