Grand Canonical Ensemble

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Mihaly Mezei - One of the best experts on this subject based on the ideXlab platform.

José P. S. Lemos - One of the best experts on this subject based on the ideXlab platform.

  • Thermodynamics of Reissner–Nordström–anti-de Sitter black holes in the Grand Canonical Ensemble
    Physical Review D, 1999
    Co-Authors: Claudia S. Peça, José P. S. Lemos
    Abstract:

    The thermodynamical properties of the Reissner-Nordstr\"om-anti-de Sitter black hole in the Grand Canonical Ensemble are investigated using York's formalism. The black hole is enclosed in a cavity with finite radius where the temperature and electrostatic potential are fixed. The boundary conditions allow us to compute the relevant thermodynamical quantities, e.g. thermal energy, entropy and charge. The stability conditions imply that there are thermodynamically stable black hole solutions, under certain conditions. Instantons with negative heat capacity are also found.

  • Thermodynamics of Reissner-Nordström-anti-de Sitter black holes in the Grand Canonical Ensemble
    Physical Review D, 1999
    Co-Authors: Claudia S. Peça, José P. S. Lemos
    Abstract:

    The thermodynamical properties of the Reissner-Nordstr\"om-anti-de Sitter black hole in the Grand Canonical Ensemble are investigated using York's formalism. The black hole is enclosed in a cavity with finite radius where the temperature and electrostatic potential are fixed. The boundary conditions allow us to compute the relevant thermodynamical quantities, e.g. thermal energy, entropy and charge. The stability conditions imply that there are thermodynamically stable black hole solutions, under certain conditions. Instantons with negative heat capacity are also found.

Peter Sloth - One of the best experts on this subject based on the ideXlab platform.

  • On the calculation of single ion activity coefficients in homogeneous ionic systems by application of the Grand Canonical Ensemble
    The Journal of Chemical Physics, 1993
    Co-Authors: Peter Sloth
    Abstract:

    The Grand Canonical Ensemble has been used to study the evaluation of single ion activity coefficients in homogeneous ionic fluids. In this work, the Coulombic interactions are truncated according to the minimum image approximation, and the ions are assumed to be placed in a structureless, homogeneous dielectric continuum. Grand Canonical Ensemble Monte Carlo calculation results for two primitive model electrolyte solutions are presented. Also, a formula involving the second moments of the total correlation functions is derived from fluctuation theory, which applies for the derivatives of the individual ionic activity coefficients with respect to the total ionic concentration. This formula has previously been proposed on the basis of somewhat different considerations.

  • Electrochemical potentials in the Grand Canonical Ensemble
    Molecular Physics, 1992
    Co-Authors: Peter Sloth
    Abstract:

    The Grand Canonical Ensemble has been used to study electrochemical potentials in confined ionic systems. Grand Canonical Ensemble Monte Carlo calculations for the primitive model of electrolyte solutions are presented for spherical systems, and the evaluation of single ion activity coefficients by such calculations is discussed. It is also shown that the introduction of finite, confined systems resolves a well-known problem associated with the application of the Kirkwood-Buff theory to ionic systems.

  • Hard, charged spheres in spherical pores. Grand Canonical Ensemble Monte Carlo calculations
    The Journal of Chemical Physics, 1992
    Co-Authors: Peter Sloth, Torben Smith Sørensen
    Abstract:

    A model consisting of hard charged spheres inside hard spherical pores is investigated by Grand Canonical Ensemble Monte Carlo calculations. It is found that the mean ionic density profiles in the pores are almost the same when the wall of the pore is moderately charged as when it is uncharged. Also, a bulklike phase is found to be present at the center of the pores in surprisingly small systems. Finally, the Poisson–Boltzman approximation is discussed in the light of our Monte Carlo results.

  • hard sphere fluids inside spherical hard pores Grand Canonical Ensemble monte carlo calculations and integral equation approximations
    Journal of Chemical Physics, 1990
    Co-Authors: Peter Sloth
    Abstract:

    Density profiles and partition coefficients are obtained for hard‐sphere fluids inside hard, spherical pores of different sizes by Grand Canonical Ensemble Monte Carlo calculations. The Monte Carlo results are compared to the results obtained by application of different kinds of integral equation approximations. Also, some exact, analytical results for the partition coefficients are given, which are valid in the case of (very) small pores or at low density, respectively.

Claudia S. Peça - One of the best experts on this subject based on the ideXlab platform.

  • Thermodynamics of Reissner–Nordström–anti-de Sitter black holes in the Grand Canonical Ensemble
    Physical Review D, 1999
    Co-Authors: Claudia S. Peça, José P. S. Lemos
    Abstract:

    The thermodynamical properties of the Reissner-Nordstr\"om-anti-de Sitter black hole in the Grand Canonical Ensemble are investigated using York's formalism. The black hole is enclosed in a cavity with finite radius where the temperature and electrostatic potential are fixed. The boundary conditions allow us to compute the relevant thermodynamical quantities, e.g. thermal energy, entropy and charge. The stability conditions imply that there are thermodynamically stable black hole solutions, under certain conditions. Instantons with negative heat capacity are also found.

  • Thermodynamics of Reissner-Nordström-anti-de Sitter black holes in the Grand Canonical Ensemble
    Physical Review D, 1999
    Co-Authors: Claudia S. Peça, José P. S. Lemos
    Abstract:

    The thermodynamical properties of the Reissner-Nordstr\"om-anti-de Sitter black hole in the Grand Canonical Ensemble are investigated using York's formalism. The black hole is enclosed in a cavity with finite radius where the temperature and electrostatic potential are fixed. The boundary conditions allow us to compute the relevant thermodynamical quantities, e.g. thermal energy, entropy and charge. The stability conditions imply that there are thermodynamically stable black hole solutions, under certain conditions. Instantons with negative heat capacity are also found.

J.m. Rickman - One of the best experts on this subject based on the ideXlab platform.