Time‐resolved XPCS analysis across broad time‐scales using multi‐tau two‐time correlations.

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Title: Time‐resolved XPCS analysis across broad time‐scales using multi‐tau two‐time correlations.
Authors: Brugnara, Fabio1 (AUTHOR) fabio.brugnara-1@unitn.it, Cammarata, Marco2 (AUTHOR), Chushkin, Yuriy2 (AUTHOR), Festi, Irene1 (AUTHOR), Granata, Massimo3 (AUTHOR), Hofman, David3 (AUTHOR), Leonardi, Matteo1,4 (AUTHOR), Marzi, Daniele1 (AUTHOR), Nabari, Denis1,4 (AUTHOR), Trapananti, Angela5,6 (AUTHOR), Ziglio, Simone1 (AUTHOR), Zontone, Federico2 (AUTHOR), Zanatta, Marco1,4 (AUTHOR), Baldi, Giacomo1,4 (AUTHOR) giacomo.baldi@unitn.it
Source: Journal of Synchrotron Radiation. May2026, Vol. 33 Issue 3, p698-707. 10p.
Subjects: Statistical correlation, Scalability, X-ray spectroscopy, Photon counting, Continuous time models, X-ray scattering, European Synchrotron Radiation Facility, Signal-to-noise ratio
Abstract: We present a multi‐tau two‐time correlation (MT‐2TC) analysis for X‐ray photon correlation spectroscopy that enables efficient analysis of large‐scale, high‐frame‐rate datasets collected at modern synchrotron beamlines. The method combines the advantages of the multi‐tau autocorrelation and two‐time correlation approaches, maintaining sensitivity to non‐stationary dynamics while reducing computational complexity and memory requirements from quadratic to linear scaling with the number of frames. This formulation not only improves processing efficiency but also extends the accessible correlation time range, allowing analysis over much broader time scales than conventional techniques. The algorithm is implemented in both dense and sparse data representations, allowing direct processing of sparsified photon‐counting data from ultra‐fast detectors. We demonstrate the performance of the MT‐2TC scheme using experiments on a bulk GeO2 glass and on a v‐Ta2O5 thin film conducted at the ESRF ID10 beamline with a 1 kHz Eiger 4M detector. The results show perfect agreement with standard correlation analyses while extending the temporal correlation range by nearly two decades and improving signal‐to‐noise ratios at long lag times. The MT‐2TC approach thus provides a scalable and flexible tool for XPCS at fourth‐generation synchrotrons, where enhanced coherent flux and detector speed demand correlation strategies capable of spanning microsecond‐to‐day timescales. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Synchrotron Radiation is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Time‐resolved XPCS analysis across broad time‐scales using multi‐tau two‐time correlations.
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  Data: <searchLink fieldCode="AR" term="%22Brugnara%2C+Fabio%22">Brugnara, Fabio</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> fabio.brugnara-1@unitn.it</i><br /><searchLink fieldCode="AR" term="%22Cammarata%2C+Marco%22">Cammarata, Marco</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Chushkin%2C+Yuriy%22">Chushkin, Yuriy</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Festi%2C+Irene%22">Festi, Irene</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Granata%2C+Massimo%22">Granata, Massimo</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Hofman%2C+David%22">Hofman, David</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Leonardi%2C+Matteo%22">Leonardi, Matteo</searchLink><relatesTo>1,4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Marzi%2C+Daniele%22">Marzi, Daniele</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Nabari%2C+Denis%22">Nabari, Denis</searchLink><relatesTo>1,4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Trapananti%2C+Angela%22">Trapananti, Angela</searchLink><relatesTo>5,6</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ziglio%2C+Simone%22">Ziglio, Simone</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zontone%2C+Federico%22">Zontone, Federico</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zanatta%2C+Marco%22">Zanatta, Marco</searchLink><relatesTo>1,4</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Baldi%2C+Giacomo%22">Baldi, Giacomo</searchLink><relatesTo>1,4</relatesTo> (AUTHOR)<i> giacomo.baldi@unitn.it</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Synchrotron+Radiation%22">Journal of Synchrotron Radiation</searchLink>. May2026, Vol. 33 Issue 3, p698-707. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Statistical+correlation%22">Statistical correlation</searchLink><br /><searchLink fieldCode="DE" term="%22Scalability%22">Scalability</searchLink><br /><searchLink fieldCode="DE" term="%22X-ray+spectroscopy%22">X-ray spectroscopy</searchLink><br /><searchLink fieldCode="DE" term="%22Photon+counting%22">Photon counting</searchLink><br /><searchLink fieldCode="DE" term="%22Continuous+time+models%22">Continuous time models</searchLink><br /><searchLink fieldCode="DE" term="%22X-ray+scattering%22">X-ray scattering</searchLink><br /><searchLink fieldCode="DE" term="%22European+Synchrotron+Radiation+Facility%22">European Synchrotron Radiation Facility</searchLink><br /><searchLink fieldCode="DE" term="%22Signal-to-noise+ratio%22">Signal-to-noise ratio</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We present a multi‐tau two‐time correlation (MT‐2TC) analysis for X‐ray photon correlation spectroscopy that enables efficient analysis of large‐scale, high‐frame‐rate datasets collected at modern synchrotron beamlines. The method combines the advantages of the multi‐tau autocorrelation and two‐time correlation approaches, maintaining sensitivity to non‐stationary dynamics while reducing computational complexity and memory requirements from quadratic to linear scaling with the number of frames. This formulation not only improves processing efficiency but also extends the accessible correlation time range, allowing analysis over much broader time scales than conventional techniques. The algorithm is implemented in both dense and sparse data representations, allowing direct processing of sparsified photon‐counting data from ultra‐fast detectors. We demonstrate the performance of the MT‐2TC scheme using experiments on a bulk GeO2 glass and on a v‐Ta2O5 thin film conducted at the ESRF ID10 beamline with a 1 kHz Eiger 4M detector. The results show perfect agreement with standard correlation analyses while extending the temporal correlation range by nearly two decades and improving signal‐to‐noise ratios at long lag times. The MT‐2TC approach thus provides a scalable and flexible tool for XPCS at fourth‐generation synchrotrons, where enhanced coherent flux and detector speed demand correlation strategies capable of spanning microsecond‐to‐day timescales. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Journal of Synchrotron Radiation is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Identifiers:
      – Type: doi
        Value: 10.1107/S1600577526002171
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 10
        StartPage: 698
    Subjects:
      – SubjectFull: Statistical correlation
        Type: general
      – SubjectFull: Scalability
        Type: general
      – SubjectFull: X-ray spectroscopy
        Type: general
      – SubjectFull: Photon counting
        Type: general
      – SubjectFull: Continuous time models
        Type: general
      – SubjectFull: X-ray scattering
        Type: general
      – SubjectFull: European Synchrotron Radiation Facility
        Type: general
      – SubjectFull: Signal-to-noise ratio
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    Titles:
      – TitleFull: Time‐resolved XPCS analysis across broad time‐scales using multi‐tau two‐time correlations.
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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