Analysis of Multi-exponential Decay Curves

Curtis, L. J.; Berry, H. G.; Bromander, J.

doi:10.1088/0031-8949/2/4-5/015

Cited by 77 publications

(20 citation statements)

References 8 publications

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“…When simulations are completed, we perform the following multi-exponential fit (Curtis, Berry & Bromander 1970; Pezzi et al. 2016 a ) of the entropy growth to point out the presence of several characteristic times: being the th characteristic time, the growth of entropy related to the characteristic time and is evaluated through a recursive procedure.…”

Section: Numerical Approach and Simulation Resultsmentioning

confidence: 99%

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Solar wind collisional heating

Pezzi

2017

J. Plasma Phys.

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To properly describe heating in weakly collisional turbulent plasmas such as the solar wind, interparticle collisions should be taken into account. Collisions can convert ordered energy into heat by means of irreversible relaxation towards the thermal equilibrium. Recently, Pezzi et al. (Phys. Rev. Lett., vol. 116, 2016a, 145001) showed that the plasma collisionality is enhanced by the presence of fine structures in velocity space. Here, the analysis is extended by directly comparing the effects of the fully nonlinear Landau operator and a linearized Landau operator. By focusing on the relaxation towards the equilibrium of an out of equilibrium distribution function in a homogeneous force-free plasma, here it is pointed out that it is significant to retain nonlinearities in the collisional operator to quantify the importance of collisional effects. Although the presence of several characteristic times associated with the dissipation of different phase space structures is recovered in both the cases of the nonlinear and the linearized operators, the influence of these times is different in the two cases. In the linearized operator case, the recovered characteristic times are systematically larger than in the fully nonlinear operator case, this suggesting that fine velocity structures are dissipated more slowly if nonlinearities are neglected in the collisional operator.

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Section: Numerical Approach and Simulation Resultsmentioning

confidence: 99%

“…To quantify the different evolution observed in figure 5, we perform the multi-exponential fit (Curtis et al. 1970; Pezzi et al. 2016 a ) described in (3.4).…”

Section: Numerical Approach and Simulation Resultsmentioning

confidence: 99%

Solar wind collisional heating

Pezzi

2017

J. Plasma Phys.

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“…the electrical time constant associated with a switch capacitor network or integrator of a continuous bias system. However, extraction of two time constants from a data set is non-trivial and may only succeed under certain conditions [39,42]. We believe that our hardware provides enough timing precision if appropriate algorithms can be found to perform the parameter extraction.…”

Section: Discussionmentioning

confidence: 99%

Per-Pixel Time Constant Measurement of Bolometer Cameras

Waldron

Lohrmann

2020

IEEE Trans. Instrum. Meas.

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A novel system to measure the time constant of microbolometer cameras per-pixel to create a twodimensional time constant map is presented. The measurements take place at the camera level and do not require any special control of the camera beyond the ability to capture raw data. Detailed simulations are run for a broad range of variables and values to demonstrate the usefulness of the system in extracting even extremely fast time constants with high accuracy and repeatability. Measurements are taken on a proof of concept system with an example camera, and a two-dimensional time constant map is reported. These results are compared to measurements from a linear motion stage system.

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“…We have also included our estimates of the cascade lifetime and replenishment ratio [6]. The decay curve data was analyzed using the program HOMER [7].…”

Section: Lifetimesmentioning

confidence: 99%

Application of multi-channel analysis techniques to beam-foil spectroscopy of neutral cobalt in the region 3000 � to 3950 �

et al. 1977

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A new experimental arrangement is described which is designed for measuring lifetimes of levels of low ionization states of heavy elements using the beam-foil technique. The method is applied to obtain lifetimes of 14 CoI transitions in the spectral range 3000~ to 3950 ~. Our results are found to be in excellent agreement with the lifetime of the levels which have been measured previously using dye-laser excitation. The f-values derived from our results indicate that the temperature correction proposed by Degenkolb and Griffiths greatly improves the accuracy of the Corliss and Bozman data, and also show remarkable consistency with the semi-empirical values tabulated by Kurucz and Peytremann. Finally, our new f-values are used to obtain a cobalt photospheric abundance given by log N(Co) = 4.75 -t-0.05.

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Analysis of Multi-exponential Decay Curves

Cited by 77 publications

References 8 publications

Solar wind collisional heating

Solar wind collisional heating

Per-Pixel Time Constant Measurement of Bolometer Cameras

Application of multi-channel analysis techniques to beam-foil spectroscopy of neutral cobalt in the region 3000 � to 3950 �

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