Uncertainty relations of Statistical Mechanics

Abstract

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.

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

References in corpus (1)

• Thermodynamic fluctuation relation for temperature and energy

Cited by in corpus (6)

• Principles of classical statistical mechanics: A perspective from the notion of complementarity
• Equilibrium fluctuation theorems compatible with anomalous response
• Understanding critical behavior in the framework of the extended equilibrium fluctuation theorem
• Fluctuation geometry: A counterpart approach of inference geometry
• Thermodynamic origin of quantum time-energy uncertainty relation
• Uncertainty Relations in Statistical Mechanics: a numerical study in small lattice systems