Conditional approach to thermo-superstatistics

• Authors: Sumiyoshi Abe
• Languages of publication: EN

Abstracts

EN

A conditional approach is developed for establishing a generalized thermodynamic-like formalism for superstatistical systems. In this framework, the existence of two largely-separated time scales is explicitly taken into account. A generalization of Einstein’s relation for fluctuations is derived based on the restricted conditional maximum-entropy method.

Keywords

EN

conditional thermodynamics; superstatistics; time-scale separation; generalization of Einstein’s relation for fluctuations

Discipline

• 05.20.-y: Classical statistical mechanics
• 05.40.-a: Fluctuation phenomena, random processes, noise, and Brownian motion(for fluctuations in superconductivity, see 74.40.-n; for statistical theory and fluctuations in nuclear reactions, see 24.60.-k; for fluctuations in plasma, see 52.25.Gj; for nonlinear dynamics and chaos, see 05.45.-a)
• 05.70.-a: Thermodynamics(see also section 64 Equations of state, phase equilibria, and phase transitions, and section 65 Thermal properties of condensed matter; for chemical thermodynamics, see 82.60.-s; for thermodynamics of plasmas, see 52.25.Kn; for thermodynamic properties of quantum fluids, see 67.25.bd, and 67.30.ef; for thermodynamics of nanoparticles, see 82.60.Qr, and 65.80.-g; for thermodynamic processes in astrophysics, see 95.30.Tg; for thermodynamics in volcanology, see 91.40.Pc)
• 89.75.-k: Complex systems(for complex chemical systems, see 82.40.Qt; for biological complexity, see 87.18.-h)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 3
• Pages: 401-404

Dates

published

1 - 9 - 2009

online

25 - 6 - 2009

Contributors

author

Sumiyoshi Abe

References

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Identifiers

DOI

10.2478/s11534-008-0149-3