Identification: A1.06
Identification: D2.01
Identification: CC1.07
Identification: MM1.04
Identification: NN1.07
In this talk we discuss path-space information theory-based sensitivity analysis and parameter identification methods for complex high-dimensional dynamics, as well as information-theoretic tools for parameterized coarse-graining of non-equilibrium extended systems. Furthermore, we relate such information-theoretic methods with observables and goal-oriented approaches through the derivation of path-space Cramer-Rao-type inequalities, which also allow us to address transferability questions in coarse-graining.
The combination of proposed methodologies is capable to tackle molecular-level models with a very large number of parameters, as well as non-equilibrium processes, typically associated with coupled physicochemical mechanisms, boundary conditions, etc. (such as reaction-diffusion and/or driven systems), and where even steady states are unknown altogether, e.g. do not have a Gibbs structure. Finally, the path-wise information theory tools yield a surprisingly simple, tractable and easy-to-implement approach to quantify and rank parameter sensitivities, as well as provide reliable molecular model parameterizations based on fine-scale data through suitable path-space (dynamics-based) information criteria.
The proposed methods are tested against a wide range of high-dimensional stochastic processes, ranging from complex biochemical reaction networks with hundreds of parameters, to spatially extended Kinetic Monte Carlo models in catalysis and Langevin dynamics of interacting molecules with internal degrees of freedom.
Identification: D2.02
Identification: K2.02
Identification: L1.07
Identification: TT1.05
X-ray Photon Correlation Spectroscopy (XPCS) offers unprecedented sensitivity to the dynamics of structural changes in materials. However, XPCS facilities have generally been limited to microstructure length scales smaller than ≈ 50 nm, thus eliminating large classes of materials that are of major technological importance. In recent years, we have been able to extend the range of this technique dramatically (into the micrometer scale regime) by combining XPCS speckle measurements with Bonse-Hart ultrasmall-angle scattering (USAXS) studies at the Advanced Photon Source. [1-4] While USAXS characterizes microstructures over the nanometer-to-micrometer scale range, use of a small entrance slit allows the coherence of the undulator X-ray beam to be exploited to give XPCS measurements of the internal microstructure dynamics. At the large end of the scale range, the slower material dynamics are well matched to the time resolution offered by USAXS-based XPCS. Using a point-counting configuration at selected Q values, we have established that phenomena previously observed for nanoparticle dispersions, including de Gennes narrowing, extend to these coarser length scales. [4] This is important because the slower relaxation times at mesoscale lengths in aqueous colloidal suspensions can be followed directly using USAXS-XPCS. Thus, phenomena such as bimodal interparticle interactions or suspension liquid phase transformations can be studied at the mesoscale while retaining relevance for nanoscale phenomena, where much shorter relaxation times make direct studies difficult.
USAXS-XPCS can also be configured to make repeated, short USAXS scans to detect incipient (precursor) microstructure changes under non-equilibrium conditions by following associated changes in the observed speckles. [3] We have applied this approach to study amorphous-to-crystalline phase transformations in dental composites. [3]
Finally, we have explored the feasibility of conducting simultaneous multiple USAXS-XPCS measurements using a nanofabricated slit array with each partially coherent X-ray beam paired to a group of pixels on a position-sensitive detector. This would allow rapid measurement of the dynamics in a heterogeneous material or could be used to follow a reaction front advancing across the sample.
References:
[1] F. Zhang, A.J. Allen, L.E. Levine, J. Ilavsky, G.G. Long A.R. Sandy; J. Appl. Cryst., 44, 200-212 (2011).
[2] F. Zhang, A.J. Allen, L.E. Levine, J. Ilavsky, G.G. Long; Metall. Mater. Trans. A,43, 1445-1453 (2012).
[3] F. Zhang, A.J. Allen, L.E. Levine, L. Espinal, J.M. Antonucci, D. Skrtic, J.N.R. O’Donnell, J. Ilavsky; J. Biomed. Mater. Res. A, 100, 1293-1306 (2012).
[4] F. Zhang, A.J. Allen, L.E. Levine, J. Ilavsky, G.G. Long; Langmuir 29, 1379-1387 (2013).
Identification: B2.05