Learning the Physics of Pattern Formation from Images

Anomalous Solute Diffusivity in Ionic Liquids: Label-Free Visualization and Physical Origins

(2019) Alexandra V. Bayles et al.   Physical Review X

Theory of Surface Forces in Multivalent Electrolytes

(2019) Rahul Prasanna Misra et al.   LANGMUIR

Machine learning materials physics: Integrable deep neural networks enable scale bridging by learning free energy functions

(2019) G.H. Teichert et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Variational system identification of the partial differential equations governing the physics of pattern-formation: Inference under varying fidelity and noise

(2019) Z. Wang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Hidden physics models: Machine learning of nonlinear partial differential equations

(2018) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Deep Potential Molecular Dynamics: A Scalable Model with the Accuracy of Quantum Mechanics

(2018) Linfeng Zhang et al.   PHYSICAL REVIEW LETTERS

Automatic Chemical Design Using a Data-Driven Continuous Representation of Molecules

(2018) Rafael Gómez-Bombarelli et al.   ACS Central Science

Theory of the Double Layer in Water-in-Salt Electrolytes

(2018) Michael McEldrew et al.   Journal of Physical Chemistry Letters

Inverse design in nanophotonics

(2018) Sean Molesky et al.   Nature Photonics

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Thermodynamic stability of driven open systems and control of phase separation by electro-autocatalysis

(2017) Martin Z. Bazant   FARADAY DISCUSSIONS

Machine learning of linear differential equations using Gaussian processes

(2017) Maziar Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Spontaneous mirror-symmetry breaking induces inverse energy cascade in 3D active fluids

(2017) Jonasz Słomka et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Thermodynamic stability of driven open systems and control of phase separation by electro-autocatalysis

(2017) Martin Z. Bazant   FARADAY DISCUSSIONS

Data-driven discovery of partial differential equations

(2017) Samuel H. Rudy et al.   Science Advances

Dimension-independent likelihood-informed MCMC

(2016) Tiangang Cui et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Li Intercalation into Graphite: Direct Optical Imaging and Cahn–Hilliard Reaction Dynamics

(2016) Yinsheng Guo et al.   Journal of Physical Chemistry Letters

Kinetics of the self-assembly of nanocrystal superlattices measured by real-time in situ X-ray scattering

(2016) Mark C. Weidman et al.   NATURE MATERIALS

In situ study of the formation mechanism of two-dimensional superlattices from PbSe nanocrystals

(2016) Jaco J. Geuchies et al.   NATURE MATERIALS

Discovering governing equations from data by sparse identification of nonlinear dynamical systems

(2016) Steven L. Brunton et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Origin and hysteresis of lithium compositional spatiodynamics within battery primary particles

(2016) Jongwoo Lim et al.   SCIENCE

Emerging In Situ and Operando Nanoscale X-Ray Imaging Techniques for Energy Storage Materials

(2015) Johanna Nelson Weker et al.   ADVANCED FUNCTIONAL MATERIALS

Big–deep–smart data in imaging for guiding materials design

(2015) Sergei V. Kalinin et al.   NATURE MATERIALS

Beyond crystallography: Diffractive imaging using coherent x-ray light sources

(2015) J. Miao et al.   SCIENCE

Inverse methods for material design

(2014) Avni Jain et al.   AICHE JOURNAL

Phase Transformation Dynamics in Porous Battery Electrodes

(2014) Todd R. Ferguson et al.   ELECTROCHIMICA ACTA

Theory of Chemical Kinetics and Charge Transfer based on Nonequilibrium Thermodynamics

(2013) Martin Z. Bazant   ACCOUNTS OF CHEMICAL RESEARCH

Parameter Space Compression Underlies Emergent Theories and Predictive Models

(2013) B. B. Machta et al.   SCIENCE

Coherency Strain and the Kinetics of Phase Separation in LiFePO4 Nanoparticles

(2012) Daniel A. Cogswell et al.   ACS Nano

Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview

(2012) Heike Emmerich et al.   ADVANCES IN PHYSICS

Exploring Mesoscopic Physics of Vacancy-Ordered Systems through Atomic Scale Observations of Topological Defects

(2012) A. Y. Borisevich et al.   PHYSICAL REVIEW LETTERS

Kinetics of non-equilibrium lithium incorporation in LiFePO4

(2011) Rahul Malik et al.   NATURE MATERIALS

Double Layer in Ionic Liquids: Overscreening versus Crowding

(2011) Martin Z. Bazant et al.   PHYSICAL REVIEW LETTERS

Gibbs: Phase equilibria and symbolic computation of thermodynamic properties

(2010) Thomas Cool et al.   CALPHAD-COMPUTER COUPLING OF PHASE DIAGRAMS AND THERMOCHEMISTRY

Free Energy Functionals for Efficient Phase Field Crystal Modeling of Structural Phase Transformations

(2010) Michael Greenwood et al.   PHYSICAL REVIEW LETTERS

Inverse problems: A Bayesian perspective

(2010) A. M. Stuart   ACTA NUMERICA

Thermodynamics of bcc metals in phase-field-crystal models

(2009) A. Jaatinen et al.   PHYSICAL REVIEW E

On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn–Hilliard Functional

(2009) Rustum Choksi et al.   SIAM JOURNAL ON APPLIED MATHEMATICS