BEGIN:VCALENDAR VERSION:2.0 PRODID:-//jEvents 2.0 for Joomla//EN CALSCALE:GREGORIAN METHOD:PUBLISH BEGIN:VTIMEZONE TZID:America/New_York BEGIN:STANDARD DTSTART:20211107T010000 RDATE:20220313T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20221106T010000 RDATE:20230312T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20231105T010000 RDATE:20240310T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20241103T010000 RDATE:20250309T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20251102T010000 RDATE:20260308T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20261101T010000 RDATE:20270314T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20271107T010000 RDATE:20280312T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20281105T010000 RDATE:20290311T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:DAYLIGHT DTSTART:20210913T104500 RDATE:20211107T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20220313T030000 RDATE:20221106T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20230312T030000 RDATE:20231105T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20240310T030000 RDATE:20241103T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20250309T030000 RDATE:20251102T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20260308T030000 RDATE:20261101T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20270314T030000 RDATE:20271107T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20280312T030000 RDATE:20281105T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT END:VTIMEZONE BEGIN:VEVENT UID:a848c7dc2cbf705712aaadccc9b7980b CATEGORIES:Mathematical Physics Seminar CREATED:20220822T121205 SUMMARY:Order Metrics and Diffusion Spreadability to Characterize Two-Phase Microstructures Across Length Scales LOCATION:Zoom DESCRIPTION:The capacity to devise order metrics to characterize and classify microstru ctures of multiphase heterogeneous media across length scales is an outstan ding but highly challenging task, given the richness of the possible geomet ries and topologies of the phases that can arise. I describe an initial inv estigation to formulate order metrics to characterize the degree of order/d isorder of hyperuniform and nonhyperuniform microstructures of two-phase me dia in d-dimensional Euclidean space across length scales via the local vol ume-fraction variance [1].\n In the second part of my talk, I consider the so-called spreadability, S(t), which is a measure of the spreadability of d iffusion information in two-phase media as a function of time t when a solu te is contained in one of the phases at t=0 [2]. I derive closed-form gener al formulas for the short- and long-time behaviors of the spreadability in terms of crucial small- and large-scale microstructural information, respec tively. The long-time behavior of S(t ) enables one to distinguish the enti re spectrum of microstructures that span from hyperuniform to nonhyperunifo rm media. For hyperuniform media, disordered or not, I show that the “exces s” spreadability, S(?) ? S(t ), decays to its long-time behavior exponentia lly faster than that of any nonhyperuniform two-phase medium, the “slowest” being antihyperuniform media. The time-dependent spreadability is a powerf ul, dynamic-based figure of merit to probe and classify the spectrum of pos sible microstructures of two-phase media across length scales. I also estab lish a connection between the spreadability and an outstanding problem in d iscrete geometry, namely, microstructures with “fast” spreadabilities are a lso those that can be derived from efficient “coverings” of space. \n1. S. Torquato, M. Skolnick, and J. Kim, ``Local order metrics for two-phase medi a across length scales,"\nJ. Phys. A: Math. & Theoret., 55 274003 (2022 ).\n2. S. Torquato, ``Diffusion spreadability as a probe of the microstruct ure of complex media across length scales,"\nPhys. Rev. E, 104 054102 (2021 ).\n X-ALT-DESC;FMTTYPE=text/html:

The capacity to devise order metrics to characterize and classify micros tructures of multiphase heterogeneous media across length scales is an outs tanding but highly challenging task, given the richness of the possible geo metries and topologies of the phases that can arise. I describe an initial investigation to formulate order metrics to characterize the degree of orde r/disorder of hyperuniform and nonhyperuniform microstructures of two-phase media in d-dimensional Euclidean space across length scales via the local volume-fraction variance [1].
In the second part of my talk, I consid er the so-called spreadability, S(t), which is a measure of the spreadabili ty of diffusion information in two-phase media as a function of time t when a solute is contained in one of the phases at t=0 [2]. I derive close d-form general formulas for the short- and long-time behaviors of the sprea dability in terms of crucial small- and large-scale microstructural informa tion, respectively. The long-time behavior of S(t ) enables one to distingu ish the entire spectrum of microstructures that span from hyperuniform to n onhyperuniform media. For hyperuniform media, disordered or not, I show tha t the “excess” spreadability, S(?) ? S(t ), decays to its long-time behavio r exponentially faster than that of any nonhyperuniform two-phase medium, t he “slowest” being antihyperuniform media. The time-dependent spreadability is a powerful, dynamic-based figure of merit to probe and classify the spe ctrum of possible microstructures of two-phase media across length scales. I also establish a connection between the spreadability and an outstanding problem in discrete geometry, namely, microstructures with “fast” spreadabi lities are also those that can be derived from efficient “coverings” of spa ce.
1. S. Torquato, M. Skolnick, and J. Kim, ``Local order metrics fo r two-phase media across length scales,"
J. Phys. A: Math. & Theor et., 55 274003 (2022).
2. S. Torquato, ``Diffusion spreadability as a probe of the microstructure of complex media across length scales,"
Ph ys. Rev. E, 104 054102 (2021).

CONTACT:Salvatore Torquato - Princeton University DTSTAMP:20260827T002226 DTSTART;TZID=America/New_York:20220914T104500 DTEND;TZID=America/New_York:20220822T114500 SEQUENCE:0 TRANSP:OPAQUE END:VEVENT END:VCALENDAR