Extended equipartition in a mechanical system subject to a heat flow: the case of localised dissipation

@article{Fontana2020ExtendedEI,
  title={Extended equipartition in a mechanical system subject to a heat flow: the case of localised dissipation},
  author={Alex Fontana and Richard Pedurand and Ludovic Bellon},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2020},
  volume={2020}
}
Statistical physics in equilibrium grants us one of its most powerful tools: the equipartition principle. It states that the degrees of freedom of a mechanical system act as a thermometer: temperature is equal to the mean variance of their oscillations divided by their stiffness. However, when a non-equilibrium state is considered, this principle is no longer valid. In our experiment, we study the fluctuations of a micro-cantilever subject to a strong heat flow, which creates a highly non… 

Linking fluctuation and dissipation in spatially extended out-of-equilibrium systems

For systems in equilibrium at a temperature T , thermal noise and energy damping are related to T through the fluctuation-dissipation theorem (FDT). We study here an extension of the FDT to an

Thermal noise of a cryocooled silicon cantilever locally heated up to its melting point.

This experiment studies a microcantilever brought out of equilibrium by a strong heat flux generated by the absorption of the light of a laser, and demonstrates how the thermal fluctuations of all the observed degrees of freedom are much lower than what is expected from the average temperature of the system.

References

SHOWING 1-10 OF 33 REFERENCES

Low thermal fluctuations in a system heated out of equilibrium.

This work demonstrates that inhomogeneous dissipation mechanisms can decouple the amplitude of thermal fluctuations from the average temperature, which could be useful to understand out-of-equilibrium fluctuating systems, or to engineer low noise instruments.

Effects of breaking vibrational energy equipartition on measurements of temperature in macroscopic oscillators subject to heat flux

When the energy content of a resonant mode of a crystalline solid in thermodynamic equilibrium is directly measured, assuming that quantum effects can be neglected it coincides with temperature

Calculation of thermal noise in atomic force microscopy

Thermal fluctuations of the cantilever are a fundamental source of noise in atomic force microscopy. We calculated thermal noise using the equipartition theorem and considering all possible vibration

Thermodynamic uncertainty relations constrain non-equilibrium fluctuations

In equilibrium thermodynamics, there exists a well-established connection between dynamical fluctuations of a physical system and the dissipation of its energy into an environment. However, few

Extended Nyquist formula for a resistance subject to a heat flow

The Nyquist formula quantifies the thermal noise driven fluctuations of voltage across a resistance in equilibrium. We deal here with the case of a resistance driven out of equilibrium by putting it

Calculation of thermal noise in an atomic force microscope with a finite optical spot size

We present a method to calculate the thermal noise in an atomic force microscope (AFM) that employs the optical beam deflection (‘optical lever’) detection technique with a finite focused optical

Cryogenic optomechanic cavity in low mechanical loss material

Mechanical losses lower than 10−9 have been demonstrated on quartz crystal acoustic cavities at liquid helium temperature. In addition, such cavities could rather easily be adapted to be used as

Irreversibility and Generalized Noise

A relation is obtained between the generalized resistance and the fluctuations of the generalized forces in linear dissipative systems. This relation forms the extension of the Nyquist relation for

Anelastic Relaxation in Crystalline Solids