Uncertainty relations of Statistical Mechanics

Details Uncertainty relations of Statistical Mechanics Uncertainty relations of Statistical Mechanics

2009-10-15

arxiv.org/abs/0910.2867v1

Modern Physics Letters B, Vol. 23, No. 30 (2009) 3551-3562

Physics

Condensed Matter

Statistical Mechanics

Version accepted for publication in Mod. Phys. Lett. B

Scientific paper

Recently, we have presented some simple arguments supporting the existence of certain complementarity between thermodynamic quantities of temperature and energy, an idea suggested by Bohr and Heinsenberg in the early days of Quantum Mechanics. Such a complementarity is expressed as the impossibility of perform an exact simultaneous determination of the system energy and temperature by using an experimental procedure based on the thermal equilibrium with other system regarded as a measure apparatus (thermometer). In this work, we provide a simple generalization of this latter approach with the consideration of a thermodynamic situation with several control parameters.

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