Work

Theory of x-ray photon correlation spectroscopy for multiscale flows

Year: 2025
Type: article
Abstract: Complex multiscale flows associated with instabilities and turbulence are commonly induced under high-energy density (HED) conditions, but accurate measurement of their transport properties has been challenging. X-ray photon correlation spectroscopy (XPCS) with coherent x-ray sources can, in principle, probe material dynamics to infer transport properties using time autocorrelation of density fluctuations. Here we develop a theoretical framework for utilizing XPCS to study material diffusivity in multiscale flows. We extend single-scale shear flow theories to broadband flows using a multiscale analysis that captures shear and diffusion dynamics. Our theory is validated with simulated XPCS for Brownian particles advected in multiscale flows. We demonstrate the versatility of the method over several orders of magnitude in timescale using sequential-pulse XPCS, single-pulse x-ray speckle visibility spectroscopy (XSVS), and double-pulse XSVS.
Language: English
Subfield: Radiation
Open Access status: gold
Estimated APC paid: $2,625
Awards: G1071216263, G1116528938, G122673668, G1229526393, SCALE-AWARE MODELING OF INSTABILITIES AND MIXING IN HED FLOWS, G1286236842, G1286251239, G1451874870, G1632040200, G1677143136, G1814393732, G1863003419, G22000355, G2371548206, G262532246, Self-Generated Coronal Magnetic Fields in High Energy Density Plasmas, G2679937494, G2900453181, G303061748, G30714459, G3083819904, G3327601824, G3441858151, IT IS WIDELY RECOGNIZED THAT FLOW AT THE MESOSCALES WHICH CONSTITUTE A PEAK IN THE KINETIC ENERGY SPECTRUM IS A CRITICAL COMPONENT OF THE GLOBAL CIRCULATION AND ITS RESPONSE TO CHANGES IN CLIMATE. THE MAIN OBJECTIVE OF THIS PROPOSAL IS TO STUDY FOUR DISTINCT PATHWAYS THAT COUPLE THE MESOSCALES TO THE LARGER-SCALE GENERAL CIRCULATION. SUCH COUPLING IS GENERALLY RECOGNIZED TO PLAY A MAJOR ROLE IN DETERMINING LARGE-SCALE CIRCULATION IN TRANSPORTING HEAT AND ALSO IN LIMITING OUR PREDICTIVE ABILITY TO FORECAST CLIMATE. TO THIS END WE WILL PURSUE AN INTEGRATED ANALYSIS OF SATELLITE AND MODEL DATA WITHIN A NOVEL MULTI-SCALE DIAGNOSTIC FRAMEWORK. THE COARSE-GRAINING FRAMEWORK HAS A RIGOROUS MATHEMATICAL FOUNDATION AND IS MORE VERSATILE THAN THE CLASSICAL `MEAN-EDDY' DECOMPOSITION. IT ALLOWS FOR THE DIAGNOSIS OF THE COUPLING PHYSICS AT VARIOUS PRE-DETERMINED LENGTH-SCALES WHICH CAN BE CHOSEN TO MATCH THE GRID RESOLUTION IN A MODEL. THEREFORE THE PROPOSED PROJECT MAY PROVE TO BE CRITICAL IN ADVANCING A NEW SYSTEMATIC APPROACH TO DEVISING SCALE-AWARE AND LOCATION-AWARE PARAMETERIZATIONS THAT REFLECT THE LATENT SUBGRID PHYSICS ALONG WITH A DEEPER UNDERSTANDING OF THE AMPLITUDE AND FREQUENCY RESPONSES OF THE MESOSCALES TO LARGE-SCALE PROCESSES. OUR COARSE-GRAINING APPROACH UNDERTAKEN HERE IS PARTICULARLY USEFUL FOR THE UPCOMING SWOT MISSION WITH THE PROMISE OF UNRAVELING COMPLEX MULTI-SCALE PHYSICS WITHIN THE VAST DYNAMICAL RANGE SWOT WILL RESOLVE. IN THESE RESPECTS OUR PROPOSED WORK HAS THE POTENTIAL TO OPEN THE GATEWAY TO ANALYZING REMOTELY SENSED DATA IN A COMPLETELY NEW WAY THAT CAN NATURALLY GUIDE MODELING EFFORTS IN A CONSISTENT MANNER. THE PROPOSED WORK ADDRESSES TWO OF THE THREE THEMES IDENTIFIED IN THE SOLICITATION (I)"ANALYSIS AND INTERPRETATION OF THE OCEAN CIRCULATION USING SATELLITE AND IN SITU DATA." AND (III)"THE INTENSITY AND LOCATION OF MIXING IN THE OCEAN." MOREOVER IT IS DIRECTLY RELEVANT TO THE US CLIVAR PROGRAM SINCE IT ADDRESSES TEMPORAL VARIABILITY AND IMPROVING OUR PREDICTIVE CAPABILITY., NONLINEAR EVOLUTION OF THE THREE-DIMENSIONAL ABLATIVE RAYLEIGH-TAYLOR INSTABILITY, G39912799, G4022702638, G419881185, G4202668658, G4235786860, G42916606, G4454727772, G4501827968, G4927892525, G495301720, G498139845, G5076365615, G5189224009, G5193865755, G5484809798, G5558489987, G5570207115, G6109272482, G6113313026, CAREER: Multiscale modeling of perivascular flow in the brain, PROBING HED TURBULENCE WITH LASERS AND COHERENT LIGHT SOURCES, G650090426, G6550344761, UNIVERSITY OF ROCHESTER X-RAY PARTICLE IMAGE VELOCIMETRY FOR HED SCIENCE MOD 0000 FULLY FUNDS BUDGET YEAR 1 OF THE GRANT IN THE AMOUNT OF $173,627., G7139249291, G7283024673, G767720583, Center for Matter at Atomic Pressures, Probing the Ocean's Multiscale Pathways, THE DOE SC PROGRAM IN FUSION ENERGY SCIENCES (FES) AND THE NNSA DEFENSE PROGRAM (DP) OFFICE OF EXPERIMENTAL SCIENCES JOINTLY ANNOUNCE THEIR INTERESTS IN RECEIVING APPLICATIONS FOR NEW AND RENEWAL AWARDS FOR RESEARCH IN THE SC-NNSA JOINT PROGRAM IN HIGH-ENERGY-DENSITY (HED) LABORATORY PLASMAS. ALL INDIVIDUALS OR GROUPS PLANNING TO SUBMIT APPLICATIONS FOR NEW OR RENEWAL FUNDING IN FISCAL YEAR 2022 SHOULD SUBMIT APPLICATIONS IN RESPONSE TO THIS FUNDING OPPORTUNITY ANNOUNCEMENT (FOA). SC-NNSA, G8382000481, G911061179, G969889393, NONLINEAR EVOLUTION OF THE THREE-DIMENSIONAL ABLATIVE RAYLEIGH-TAYLOR INSTABILITY
OpenAlex ID: W4410859344
FWCI: 0.615
Cites: 89
Cited by: 1
Related to: 10