Generalized thermodynamic uncertainty relations
arXiv:1102.1824 · doi:10.1016/j.physa.2011.05.002
Abstract
We analyze ensemble in which energy (E), temperature (T) and multiplicity (N) can all fluctuate and with the help of nonextensive statistics we propose a relation connecting all fluctuating variables. It generalizes Lindhard's thermodynamic uncertainty relations known in literature.
13 pages, 2 figures, version to occur in Physica A (2011); doi:10.1016/j.physa.2011.05.002
References in corpus (8)
- Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions
- Multiplicity Fluctuations in Hadron-Resonance Gas
- Multiplicity fluctuations in relativistic nuclear collisions: statistical model versus experimental data
- Non-extensivity Parameter of Thermodynamical Model of Hadronic Interactions at LHC energies
- Fluctuations, correlations and the nonextensivity
- Particle number fluctuations in nuclear collisions within excluded volume hadron gas model
- Estimation in a fluctuating medium and power-law distributions
- Composition of fluctuations of different observables
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- A Hamiltonian approach to Thermodynamics
- The imprints of superstatistics in multiparticle production processes
- Some intriguing aspects of multiparticle production processes
- Quasi-power laws in multiparticle production processes
- The Phase Space Elementary Cell in Classical and Generalized Statistics
- Imprints of energy limitation in transverse momentum distributions of jets
- Relaxation and correlation times of nonequilibrium multiparticle systems