Partition function for a driven oscillator?

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SUMMARY

The discussion centers on the feasibility of calculating the partition function for a driven harmonic oscillator (DHO). Participants assert that the partition function is primarily applicable to systems in equilibrium, while the DHO, influenced by an external driving force, is not in equilibrium. The consensus indicates that calculating the partition function for a DHO is not straightforward and may not yield meaningful results.

PREREQUISITES
  • Understanding of statistical mechanics and partition functions
  • Knowledge of harmonic oscillators and their dynamics
  • Familiarity with concepts of equilibrium and non-equilibrium systems
  • Basic principles of thermodynamics
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  • Research the implications of non-equilibrium thermodynamics
  • Study the mathematical formulation of driven harmonic oscillators
  • Explore alternative methods for analyzing driven systems
  • Learn about the role of entropy in non-equilibrium systems
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Students and researchers in physics, particularly those focusing on statistical mechanics, thermodynamics, and the dynamics of driven systems.

L_landau
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I've seen the partition function calculated for the SHO before in a thermodynamics course in order to calculate entropy. Is it possible to calculate it for a driven harmonic oscillator?
 
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L_landau said:
Is it possible to calculate it for a driven harmonic oscillator?
Prima facie I would say no, because the partition function is really only well-defined at equilibrium, and the system is not at equilibrium (the driving force is pumping energy into the oscillator). I could be wrong, though.
 

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