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1. A Simple New Way To Account for Free Volume in Glassy Dynamics: Model-Free Estimation of the Close-Packed Volume from PVT Data

   https://doi.org/10.1021/acs.jpcb.1c01620  

   White, Ronald P. ; Lipson, Jane E. ( April 2021 , The Journal of Physical Chemistry B)
2. A divergence-free semi-implicit finite volume scheme for ideal, viscous, and resistive magnetohydrodynamics: A divergence-free semi-implicit finite volume scheme for ideal, viscous and resistive magnetohydrodynamics

   https://doi.org/10.1002/fld.4681  

   Dumbser, M. ; Balsara, D.S. ; Tavelli, M. ; Fambri, F. ( January 2019 , International Journal for Numerical Methods in Fluids)
3. Bruhat Interval Polytopes, 1-Skeleton Lattices, and Smooth Torus Orbit Closures; The Distribution of Descents on Nonnesting Permutations; Pop, Crackle, Snap; Studying Triangulations of Even-Dimensional Cyclic Polytopes via Directed Graphs; Bijections between Planar Maps and Planar Linear Normal λ-Terms with Connectivity Condition; An Algebraic Perspective on Ramsey Numbers; Faces of Directed Edge Polytopes; On the Topology of Cut Complexes of Graphs; An SL4-Web Basis from Hourglass Plabic Graphs; The Associative-Commutative Spectrum of a Binary Operation; Automorphisms of Undirected Bruhat Graphs; Extremal Tensor Products of Demazure Crystals are Direct Sums of Demazure Crystals; Effective Algebraicity for Solutions of Systems of Functional Equations with one Catalytic Variable; Volume Rigidity and Algebraic Shifting; Invariant Theory for the Free Left-Regular Band and a q-Analogue; Rowmotion on 321-Avoiding Permutations; Sums of Weighted Lattice Points of Polytopes; Noncrossing Partitions of an Annulus; Triangular-Grid Billiards and Plabic Graphs; Promotion for Fans of Dyck Paths; Deficit and; Combinatorial Formulas for Shifted Dual Stable Grothendieck Polynomials; Tautological Classes of Matroids; A Realization of Poset Associahedra; Chromatic Quasisymmetric Functions and Noncommutative P-symmetric Functions; Compact Hyperbolic Coxeter d-Polytopes with d+4 Facets and Related Dimension Bounds; Balanced Shifted Tableaux; The Tropical Critical Points of an Affine Matroid; Barrett-Johnson Inequalities for Totally Nonnegative Matrices; From Kreweras to Gessel: A Walk through Patterns in the Quarter Plane; Refined Canonical Stable Grothendieck Polynomials and Their Duals; Quasisymmetric Harmonics of the Exterior Algebra;;; Jack Characters as Generating Series of Bipartite Maps and Proof of Lassalle's Conjecture; Limit Shapes for Skew Howe Duality; Hilbert-Poincaré Series of Matroid Chow Rings and Intersection Cohomology; A Murnaghan-Nakayama Rule for Quantum Cohomology of the Flag Manifold; On the A2 Andrews-Schilling-Warnaar Identities; Hook Length Bias in Odd versus Distinct Partitions; Horizontal-Strip LLT Polynomials; Cyclic Shuffle-Compatibility and Cyclic Quasisymmetric Functions; Set-Valued Tableaux for Macdonald Polynomials; Inequalities for $f^*$-vectors of Lattice Polytopes; Degenerations of the Grassmannian via Matroidal Subdivisions of the Hypersimplex; Castelnuovo-Mumford Regularity for 321-Avoiding Kazhdan-Lusztig Varieties; The Algebra of Extended Peaks; The BCFW Tiling of the Amplituhedron; Pizza and 2-Structures; Robertson's Conjecture in Algebraic Topology; Birational Rowmotion over Noncommutative Rings; Wreath Macdonald Operators; The Isomorphism Problem for Cominuscule Schubert Varieties; 0-Hecke Modules, Quasisymmetric Functions, and Peak Functions in Type B; Modules of the 0-Hecke Algebras for Genomic Schur Functions; Minimal Skew Semistandard Young Tableaux and the Hillman-Grassl Correspondence; Stable-Limit Non-Symmetric Macdonald Functions in Type A; Divisors, Orbit Harmonics, and DT Invariants; Acyclic Pipe Dreams, Subword Complexes and Lattice Quotients of Weak Order Intervals; A Combinatorial Interpretation of the Noncommutative Inverse Kostka Matrix; Polyhedral and Tropical Geometry of Flag Positroids; A new Perspective on Positivity in; Fine Polyhedral Adjunction Theory; Generic Curves and Non-Coprime Catalans; Partial Permutohedra; A Cocharge Formula for the Δ-Springer Modules; Shifted key polynomials; Chainlink Polytopes; Combinatorial Interpretations of the Macdonald Identities for Affine Root Systems; Alternating Sign Matrices and Descending Plane Partitions: a Linear Number of Equivalent Statistics; The Multispecies Zero Range Process and Modified Macdonald Polynomials; A Generalized RSK for Enumerating Linear Series on n-pointed Curves; A Unipotent Realization of the Chromatic Quasisymmetric Function; A Pipe Dream Perspective on Totally Symmetric Self-Complementary Plane Partitions; An Embedding of the Skein Action on Set Partitions into the Skein Action on Matchings; Recursions and Proofs in Cataland; Polyhedral Models for K-Theory of Toric and Flag Varieties; The Kromatic Symmetric Function: A K-Theoretic Analogue of XG; Foata-Like Bijections and science Fiction; Double Dimers and Super Ptolemy Relations; Generalized Pitman-Stanley Flow Polytopes; On Linear Intervals in the alt ν-Tamari Lattices; RSK for 3-Free Posets; Towards Butler's Conjecture; Semistandard Parking Functions and a Finite Shuffle Theorem; A Catalanimal Formula for Macdonald Polynomials; Combinatorial Invariance for Lower Intervals Using Hypercube Decompositions; Equivariant Log-Concavity of Independence Sequences of Claw-Free Graphs; Stembridge Codes and Chow Rings; Interpolating between Classic and Bumpless Pipe Dreams; Rigorous Analytic Combinatorics in Several Variables in SageMath; A Bijectionist's Toolkit

   Christian Gaetz ; Sergi Elizalde ; Colin Defant and Nathan Williams ; Nicholas J. Williams ; Wenjie Fang ; Jesús A. De Loera and William J. Wesley ; Yasuhide Numata, Yusuke Takahashi ; Margaret Bayer, Mark Denker ; Christian Gaetz, Oliver Pechenik ; Jia Huang and Erkko Lehtonen ; et al ( April 2023 , Séminaire lotharingien de combinatoire)

   Krattenthaler, Christian ; Thibon, Jean-Yves (Ed.)
4. Symmetric Volume Maps: Order-invariant Volumetric Mesh Correspondence with Free Boundary

   https://doi.org/10.1145/3572897  

   Abulnaga, S. Mazdak ; Stein, Oded ; Golland, Polina ; Solomon, Justin ( June 2023 , ACM Transactions on Graphics)

   Although shape correspondence is a central problem in geometry processing, most methods for this task apply only to two-dimensional surfaces. The neglected task ofvolumetriccorrespondence—a natural extension relevant to shapes extracted from simulation, medical imaging, and volume rendering—presents unique challenges that do not appear in the two-dimensional case. In this work, we propose a method for mapping between volumes represented as tetrahedral meshes. Our formulation minimizes a distortion energy designed to extract maps symmetrically, i.e., without dependence on the ordering of the source and target domains. We accompany our method with theoretical discussion describing the consequences of this symmetry assumption, leading us to select a symmetrized ARAP energy that favors isometric correspondences. Our final formulation optimizes for near-isometry while matching the boundary. We demonstrate our method on a diverse geometric dataset, producing low-distortion matchings that align closely to the boundary.

    

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5. Pressure-Dependent Dynamics of Polymer Melts from Arrhenius to Non-Arrhenius: The Cooperative Free Volume Rate Equation Tested against Simulation Data

   https://doi.org/10.1021/acs.macromol.8b00591  

   White, Ronald P. ; Lipson, Jane E. ( June 2018 , Macromolecules)