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Related Concept Videos

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Trapping of Micro Particles in Nanoplasmonic Optical Lattice
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Temperature fluctuations in mesoscopic systems.

Zhaoyu Fei1,2, Yu-Han Ma2,3

  • 1Department of Physics and Key Laboratory of Optical Field Manipulation of Zhejiang Province, Zhejiang Sci-Tech University, Hangzhou 310018, China.

Physical Review. E
|May 17, 2024
PubMed
Summary
This summary is machine-generated.

We introduce fluctuating temperature for mesoscopic systems, revealing deviations from standard thermodynamic laws due to finite-size effects. This impacts heat engines and work principles.

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Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Mesoscopic Physics

Background:

  • Macroscopic thermodynamics treats temperature as intrinsic and deterministic.
  • Stochastic thermodynamics often considers temperature a fixed reservoir parameter.
  • A gap exists in understanding temperature's role in mesoscopic systems.

Purpose of the Study:

  • To assign a fluctuating intrinsic temperature to mesoscopic N-body systems.
  • To investigate the impact of these temperature fluctuations on thermodynamic quantities.
  • To analyze finite-size effects in nonequilibrium thermodynamics.

Main Methods:

  • Modeling a mesoscopic N-body system with a stochastic differential equation for temperature.
  • Incorporating a noise term to represent finite-size effects from energy transfer.
  • Analyzing deviations from extensivity and deriving finite-size corrections.

Main Results:

  • Temperature fluctuations cause extensive quantities to deviate from extensivity.
  • Finite-size corrections to the Jarzynski equality are derived, related to heat capacity.
  • A violation of the principle of maximum work, scaling with N^{-1}, is identified.
  • Carnot engine efficiency is reduced by temperature fluctuations, showing unattainability of Carnot efficiency for mesoscopic engines.

Conclusions:

  • Fluctuating intrinsic temperature is crucial for understanding mesoscopic thermodynamics.
  • Finite-size effects significantly alter thermodynamic behavior at the mesoscopic scale.
  • The developed framework enables further study of nonequilibrium thermodynamics and mesoscopic phenomena.