Macroscopic thermodynamics of equilibrium characterized by power-law canonical distributions
arXiv:cond-mat/0009400 · doi:10.1209/epl/i2001-00373-4
Abstract
Macroscopic thermodynamics of equilibrium is constructed for systems obeying power-law canonical distributions. With this, the connection between macroscopic thermodynamics and microscopic statistical thermodynamics is generalized. This is complementary to the Gibbs theorem for the celebrated exponential canonical distributions of systems in contact with a heat bath. Thereby, a thermodynamic basis is provided for power-law phenomena ubiquitous in nature.
12 pages
References in corpus (4)
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- Implementation of the Combined--Nonlinear Condensation Transformation
- On the Limiting Cases of Nonextensive Thermostatistics
- Quasicanonical Gibbs distribution and Tsallis nonextensive statistics
- Thermal measurements of stationary nonequilibrium systems: A test for generalized thermostatistics
- Model-free derivations of the Tsallis factor: constant heat capacity derivation
- Canonical Ensemble in Non-extensive Statistical Mechanics
- Look beyond additivity and extensivity of entropy for black hole and cosmological horizons
- Statistical mechanical foundations of power-law distributions
- Numerical studies for an ab initio investigation into the Boltzmann prescription in statistical mechanics of large systems