6533b7d0fe1ef96bd125af8b
RESEARCH PRODUCT
On the merit of a Central Limit Theorem-based approximation in statistical physics
Antonino MessinaOleg LychkovskiyBruno Leggiosubject
PhysicsQuantum PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciStatistical Mechanics (cond-mat.stat-mech)Physical systemFOS: Physical sciencesStatistical and Nonlinear PhysicsSettore FIS/03 - Fisica Della MateriaIsing modelQuantum statistical mechanicIntermediate temperatureStatistical physicsFree energyQuantum Physics (quant-ph)QuantumCentral Limit TheoremMathematical PhysicsEnergy (signal processing)Condensed Matter - Statistical MechanicsCentral limit theoremdescription
The applicability conditions of a recently reported Central Limit Theorem-based approximation method in statistical physics are investigated and rigorously determined. The failure of this method at low and intermediate temperature is proved as well as its inadequacy to disclose quantum criticalities at fixed temperatures. Its high temperature predictions are in addition shown to coincide with those stemming from straightforward appropriate expansions up to (k_B T)^(-2). Our results are clearly illustrated by comparing the exact and approximate temperature dependence of the free energy of some exemplary physical systems.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-02-18 |