Concept of Heat on Mesoscopic Scales

Sekimoto, Ken

doi:10.1007/978-3-642-05411-2_4

Cited by 2 publications

(2 citation statements)

References 51 publications

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“…The Hamiltonian in this model remains homogeneous and the heterogeneity comes instead from the distribution of net alignments of clusters, yielding a time-dependent distribution of relaxation times so that the hetergeneity is dynamic. Dependence of the relaxation time upon the system state has been employed to describe slow dynamics in models of plastic flow and aging [7,42,43]. Noise spectra of the net alignment of this model will be compared with 1/f flux noise observed in SQUIDs, specifically the observed spectral pivoting, equation (1) [27,28].…”

Section: Flux Noise In Squidsmentioning

confidence: 99%

“…Spatial heterogeneity of this type has been inferred from the stretched exponential primary response of materials as well as directly observed using techniques such as nuclear magnetic resonance, non-resonant spectral hole burning, and neutron scattering [1][2][3]. Theoretical strategies to address these questions include rigorous modifications of thermodynamics, stochastic equations of motion for systems that alter their own environment and possess a memory, and the marriage of these two in form of stochastic thermodynamics [4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

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1/f noise from a finite entropy bath: comparison with flux noise in SQUIDs

Davis¹,

Chamberlin²

2018

J. Stat. Mech.

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The primary low-frequency noise in superconducting quantum interference devices (SQUIDs) at low temperature is flux noise with a power spectral density of the form with . Experiments show this noise is due to independent clusters of interacting spins at the metal-insulator interface of the Josephson junction. The temperature dependences of the amplitude and the spectral exponent α are such that the noise spectra of devices taken at different temperatures cross each other at a common crossing frequency fc, so that S(fc) is constant over a wide range of temperatures. Presented here are Monte Carlo simulations of a Heisenberg spin model modified with a type of dynamic constraint that depends on the configurational entropy of clusters of spins. The constraint arises from assuming that coupling between clusters of spins and the thermal reservoir is mediated by a local bath. Noise in the alignment of this model shows similarities to the temperature-dependent flux noise of SQUIDs, reproducing the relationship between α and the amplitude that leads to the existence of a crossing frequency fc of spectra at different temperatures.

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