Does measurement noise increase as a phase transition is approached?

Zhi Chen; Clare C. Yu

doi:10.1117/12.725521

11 June 2007 Does measurement noise increase as a phase transition is approached?

Zhi Chen, Clare C. Yu

Proceedings Volume 6600, Noise and Fluctuations in Circuits, Devices, and Materials; 66001Y (2007) https://doi.org/10.1117/12.725521
Event: SPIE Fourth International Symposium on Fluctuations and Noise, 2007, Florence, Italy

Abstract

We study the energy and magnetization noise spectra associated with first and second order phase transitions by using Monte Carlo simulations of the Ising model and 5-state Potts model in 2D. For a finite size system, the total noise power and the low frequency white noise S(f < f_knee) increase as T_c is approached. In the thermodynamic limit S(f < f_knee) diverges but f_knee → 0 and the total noise power vanishes. f^-1_knee is approximately the equilibration time. At high frequencies S(f > f_knee) ~ f^-μ. For the Ising model, we relate μ to the critical exponents.

Citation Download Citation

Zhi Chen and Clare C. Yu "Does measurement noise increase as a phase transition is approached?", Proc. SPIE 6600, Noise and Fluctuations in Circuits, Devices, and Materials, 66001Y (11 June 2007); https://doi.org/10.1117/12.725521

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