Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Development of a new quantum trajectory molecular dynamics framework	138
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories	133
Taylor–Couette flow of hard-sphere suspensions: overview of current understanding	103
Distributed renewable energy systems for resilient and sustainable development of remote and vulnerable communities	90
Assessment of uncertainty quantification in universal differential equations	76
Studies of Turing pattern formation in zebrafish skin	73
Accretion–ablation mechanics	73
Quantification of fragmentation capture materials and an assessment of the viability of economical alternatives: a preliminary study	59
Asymptotic symmetries of projectively compact order one Einstein manifolds	54
Hydrogen and wood-burning stoves	52
A stochastic model of edge-localized modes in magnetically confined plasmas	51
A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling	47
The profile of the Higgs boson: status and prospects	46
Falling weight deflectometer dispersion curve method for pavement modulus calculation	45
Machine teaching in Swarm Metaverse under different levels of autonomy	45
Neural in-memory checksums: an error detection and correction technique for safe in-memory inference	43
A certain counterpart in dissipative setting of the Noether theorem with no dissipation pseudo-potentials	43
An inverse coefficient problem of identifying the flexural rigidity in damped Euler–Bernoulli beam from measured boundary rotation	41
Programmable adhesion through triangular and hierarchical cuts in metamaterial adhesives	41
Characterizing and predicting the relationship between translaminar fracture toughness and pull-out length distributions under distinct temperatures	40
Turing pattern design principles and their robustness	40
Linear, weakly nonlinear and fully nonlinear models for soft tissues: which ones provide the most reliable estimations of the stiffness?	39
Challenges and opportunities for time-delay cosmography with multi-messenger gravitational lensing	38
Heart rate variability and the dawn of complex physiological signal analysis: methodological and clinical perspectives	36
Relationship between the methods of bounding time averages	36

Full-hand electrotactile feedback using electronic skin and matrix electrodes for high-bandwidth human–machine interfacing	35
Machine learning-based rail corrugation recognition: a metro vehicle response and noise perspective	35
A completely automated pipeline for 3D reconstruction of human heart from 2D cine magnetic resonance slices	35
Reprogramming multi-stable snapping and energy dissipation in origami metamaterials through panel confinement	35
Socio-economic impacts of energy access through off-grid systems in rural communities: a case study of southwest Nigeria	33
Non-pharmaceutical interventions for COVID-19: a systematic review on environmental control measures	32
A generalized Ogden model for the compressibility of rubber-like solids	32
Drought risk in the Anthropocene	32
Synthesis of tin(IV) nitride with spinel structure, γ -Sn 3 N 4 , from the elements and its Raman-s	31
Hierarchical deep learning of multiscale differential equation time-steppers	29
How periodic surfaces bend	28
Theories of disorder and order, energy and information, in sociological thought	28
Optimizing the cost of the STEP programme	28
Theoretical study on time response of semiconductor photorefractive effects under subpicosecond ultra-fast X-rays	28
Anti-plane waves in an elastic thin strip with surface energy	28
The influence of thermal pressure gradients and ionization (im)balance on the ambipolar diffusion and charge-neutral drifts	27
Orbital angular momentum of single photons: revealing quantum fundamentals	27
Coherent decision making stimulated within the social laser: open quantum systems framework	27
Disentangling the effects of non-adiabatic interactions upon ion self-diffusion within warm dense hydrogen	26
Self-regularization in turbulence from the Kolmogorov 4/5-law and alignment	26
The e-posterior	26
Optimal control of epidemic spreading in the presence of social heterogeneity	26
Quantum brachistochrone	26
Geometric mechanics of kiri-origami-based bifurcated mechanical metamaterials	25
Automated polynomial formal verification using generalized binary decision diagram patterns	25
Generalizing multipartite concentratable entanglement for practical applications: mixed, qudit and optical states	25
Harnessing electromagnetic data for tsunami source estimation: a comprehensive review	25
Growth and stabilization of induced seismicity rates during long-term, low-pressure fluid injection	25
Turbulence characteristics and flow dynamics impacts on the H-mode transition in favourable magnetic geometry with lower power threshold	24
Marangoni-driven nonlinear dynamics of bimolecular frontal systems: a general classification for equal diffusion coefficients	24
Is the destruction or removal of atmospheric methane a worthwhile option?	24
Localized bulging of an inflated rubber tube with fixed ends	24
Overturning in the subpolar North Atlantic: a review	24
Modern perspectives on near-equilibrium analysis of Turing systems	24
Parametric resonance of Alfvén waves driven by ionization-recombination waves in the weakly ionized solar atmosphere	23
A parameter study of strato-rotational low-frequency modulations: impacts on momentum transfer and energy distribution	23
Drifting plasmons in two-dimensional electron channels: circuit analogy	23
Geometrical origins of the universe dark sector: string-inspired torsion and anomalies as seeds for inflation and dark matter	23
Vote-processing rules for combining control recommendations from multiple models	22
Practical parameter identifiability of respiratory mechanics in the extremely preterm infant	22
Cold atoms meet lattice gauge theory	21
Editorial: Mathematical problems in physical fluid dynamics: part II	21
Quantum flux densities for electronic–nuclear motion: exact versus Born–Oppenheimer dynamics	21
Electromagnetic follow-up of gravitational waves: review and lessons learned	21
Physics-inspired analysis of the two-class income distribution in the USA in 1983–2018	20
Open-flow mixing and transfer operators	20
Executive Summary to the Royal Society report “COVID-19: examining the effectiveness of non-pharmaceutical interventions”	20
From conformal infinity to equations of motion: conserved quantities in general relativity	20
Nanocracks in nature and industry	19
Computational infrared and Raman spectra by hybrid QM/MM techniques: a study on molecular and catalytic material systems	19

Influence of Br − /S 2− site-exchange on Li diffusion mechanism in Li 6 PS 5	19
Modelling wave–ice interactions in three dimensions in the marginal ice zone	19
Centaur 29P/Schwassmann–Wachmann 1 and its near-nucleus environment from a stellar occultation	19
Fast-ion conduction and local environments in BIMEVOX	19
Passenger flow anomaly detection in urban rail transit networks with graph convolution network–informer and Gaussian Bayes models	19
Helical fluid and (Hall)-MHD turbulence: a brief review	19
Tensile material instabilities in elastic beam lattices lead to a bounded stability domain	19
Rising methane: is there a methane emergency?	18
Empowering minorities and everyone in participatory budgeting: an agent-based modelling perspective	18
Modelling of seismic assessment for large geological systems	18
Editorial: new Editor-in-Chief and the 360th anniversary of Philosophical Transactions	18
An overview of elastic waveguides with dynamic sub-structures	18
Defect rocksalt structures in the La-Na-N system	17
Photo-induced enhanced Raman spectroscopy as a probe for photocatalytic surfaces	17
A wide dynamic range diamond quantum sensor as an electric vehicle battery monitor	17
Answering some questions about structured illumination microscopy	17
Foreword to the special issue on new developments in structural stability	17
Feasibility of determining asphalt pavement condition from falling weight deflectometer test and finite element model updating	17
Special issue on heat and mass transfer in frost and ice	17
Non-Born–Oppenheimer effects in molecular photochemistry: an experimental perspective	17
Characterizing super-spreaders using population-level weighted social networks in rural communities	17
Bayesian machine learning for inverse design of ultra-high-performance concrete	16
Variability of complex oscillatory regimes in the stochastic model of cold-flame combustion of a hydrocarbon mixture	16
Quantification of flagellar gait changes with combined shape mode analysis and swimming simulations	16
Optimizing counterdiabaticity by variational quantum circuits	16
An operational distinction between quantum entanglement and classical non-separability	16
Argument and explanation	16
Unmanned aerial vehicles equipped with sensor packages to study spatiotemporal variations of air pollutants in industry parks	16
Effectiveness of social distancing measures and lockdowns for reducing transmission of COVID-19 in non-healthcare, community-based settings	16
Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems	16
Infrasound associated with the eruption of the Hunga volcano	15
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models	15
Measures of contextuality in cyclic systems and the negative probabilities measure CNT 3	15
Fatigue of hybrid fibre-reinforced plastics	15
Modelling the Arctic wave-affected marginal ice zone: a comparison with ICESat-2 observations	15
Gravity beyond Einstein? Yes, but in which direction?	15
Carbon dioxide and hydrogen as building blocks for a sustainable interface of energy and chemistry	15
Social sciences and energy research interactions	15
Kinetic exchange models of societies and economies	15
Searches for beyond-standard-model physics with astroparticle physics instruments	15
Modelling herd immunity requirements in Queensland: impact of vaccination effectiveness, hesitancy and variants of SARS-CoV-2	15
Bayesian emulation and history matching ofJUNE	15
Transitions in Taylor–Couette flow of concentrated non-colloidal suspensions	15
Agreement and disagreement in a non-classical world	15
Acoustic waves in saturated porous media with gas bubbles	15
Combining contextuality and causality: a game semantics approach	15
QCD factorization and quantum mechanics	15
Opinion polarization in social networks	15
Unified space–time description of pulsed twin beams	15
Information decomposition in the frequency domain: a new framework to study cardiovascular and cardiorespiratory oscillations	15
False positives for gravitational lensing: the gravitational-wave perspective	15
Surface wave across crack-tip in a lattice model	14
Experimental perspectives on the matter–antimatter asymmetry puzzle: developments in electron EDM and H¯ experiments	14
Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering	14
Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem	14
Bounds on heat flux for Rayleigh–Bénard convection between Navier-slip fixed-temperature boundaries	14
Localized waves in elastic plates with perturbed honeycomb arrays of constraints	14
A reactor for in situ , time-resolved neutron diffraction studies of microwave-induced rapid solid-state chemical reactions	14
On the ethical governance of swarm robotic systems in the real world	14
Rare isotope-containing diamond colour centres for fundamental symmetry tests	14
Paradigms of frustration in superionic solid electrolytes	14
Remarks on the principles of statistical fluid mechanics	14
Nanostructured NiS 2 -based flexible smart sensors for human respiration monitoring	14
Estimation of local time-varying reproduction numbers in noisy surveillance data	14
Thermochemistry of hybrid materials	13
Wave propagation in tailored metastructures consisting of elastic beams and rigid bodies	13
Micrometeorite collections: a review and their current status	13
Managing the heat: In-Vessel Components	13
Quantum dynamics with curvilinear coordinates: models and kinetic energy operator	13
Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity	13
Ecosystem and soil respiration radiocarbon detects old carbon release as a fingerprint of warming and permafrost destabilization with climate change	13
Onset of synchronization in coupled Mixmaster oscillators	13
The past, present and future of multi-scale modelling applied to wave–structure interaction in ocean engineering	13
The lunar dust environment: concerns for Moon-based astronomy	13
Systems for intricate patterning of the vertebrate anatomy	13
Selective dynamic band gap tuning in metamaterials using graded photoresponsive resonator arrays	13
A special issue preface: Radiocarbon in the Anthropocene	13
Correction to ‘Learning earth system models from observations: machine learning or data assimilation?’	13
Coefficient-to-Basis Network: a fine-tunable operator learning framework for inverse problems with adaptive discretizations and theoretical guarantees	13
Routes to turbulence in Taylor–Couette flow	13

Understanding domain-wall encoding theoretically and experimentally	13
The case against smooth null infinity IV: Linearized gravity around Schwarzschild—an overview	13
Mechanics of pressurized planar hyperelastic membranes	12
Effects of the growth and freezing of condensate droplets on the initial frost thickness and density of cold surfaces	12
Anisotropy in the cosmic acceleration inferred from supernovae	12
Buoyancy forcing and the subpolar Atlantic meridional overturning circulation	12
Characteristics of constrained turbulent transport in flux-driven toroidal plasmas	12
Brane-world singularities and asymptotics of five-dimensional bulk fluids	12
A global assessment of the impact of school closure in reducing COVID-19 spread	12
Contributions of heterogeneous catalysis enabling resource efficiency and circular economy	12
Greater than the parts: a review of the information decomposition approach to causal emergence	12
Experimental–theoretical analysis of cooling and freezing of a droplet in contact with a cold substrate: influence of substrate wettability	12
Spin–orbit coupling and Jahn–Teller effect in T d symmetry: an ab initio study o	12
A special issue on Bayesian inference: challenges, perspectives and prospects	12
Machine-learning perspectives on Volterra system identification	12
Highly efficient and rapid dechlorination of polyvinyl chloride via microwave pyrolysis	12
C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler	12
Statistics of the number of defects after quantum annealing in a thermal environment	12
Sampling effects in quantum mechanical/molecular mechanics trajectory surface hopping non-adiabatic dynamics	12
Asymptotic derivation of a higher-order one-dimensional model for tape springs	12
Analytic and conformal scattering in general relativity	12
A physics-guided modelling method of artificial neural network for multiaxial fatigue life prediction under irregular loading	12
Asymptotics of the meta-atom: plane wave scattering by a single Helmholtz resonator	12
Taylor–Couette and related flows on the centennial of Taylor’s seminalPhilosophical Transactionspaper: part 2	12
Introduction to ‘Artificial intelligence in failure analysis of transportation infrastructure and materials'	12
Molecular interactions in short-chain perfluoroalkyl carboxylic acids and aqueous solutions	12
Should AMOC observations continue: how and why?	11
Unified framework for localized patterns in reaction–diffusion systems; the Gray–Scott and Gierer–Meinhardt cases	11
Correction: ‘Drying paint: from micro-scale dynamics to mechanical instabilities’ (2017), by Goehring et al.	11
Intelligent decision method for stability assessment of shield tunnel based on multi-objective data mining	11
Non-flooded riparian Amazon trees are a regionally significant methane source	11
Virtual walks inspired by a mean-field kinetic exchange model of opinion dynamics	11
New insights into air-sea fluxes and their role in Subantarctic Mode Water formation	11
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces	11
Sailing through the southern seas of air–sea CO 2 flux uncertainty	11
Variational inequality for a Timoshenko plate contacting at the boundary with an inclined obstacle	11
Modelling changes in glass transition temperature in polymer matrices exposed to low molecular weight penetrants	11
A network model of legal relations	11
Generalized quasi-linear approximation and non-normality in Taylor–Couette spiral turbulence	11
X-ray astronomy from the lunar surface	11
The quantum optics of media	11
Isotopic signatures of methane emissions from tropical fires, agriculture and wetlands: the MOYA and ZWAMPS flights	11
Theory and application of cavity solitons in photonic devices	11
Mean structure of the supercritical turbulent spiral in Taylor–Couette flow	11
Hierarchical Bayesian non-response models for error rates in forensic black-box studies	11
Wave propagation in the marginal ice zone: connections and feedback mechanisms within the air–ice–ocean system	11
Data science approaches to confronting the COVID-19 pandemic: a narrative review	11
TransCrack: revisiting fine-grained road crack detection with a transformer design	11
H-mode dithering phase studies on ST40	11
Signalling and social learning in swarms of robots	11
On the ambipolar diffusion formulation for ion-neutral drifts in the non-negligible drift velocity limit	11
Tunable wave coupling in periodically rotated Miura-ori tubes	11
Thermoelectric instabilities in a circular Couette flow	11
Modal analysis and optimization of swimming active filaments	10
Contrasting internally and externally generated Atlantic Multidecadal Variability and the role for AMOC in CMIP6 historical simulations	10
Towards an advanced neurotechnological system: colorimetric sensing with a novel grism-based spectrometer, functionalized gold nanoparticles and a heterogeneous embedded system	10
Mathematical modelling of fracture waves in a blocky medium with thin compliant interlayers	10
Galaxy clusters as probes of cosmic isotropy	10
Proof theory and non-smooth analysis	10
A time variant uncertainty propagation method for high-dimensional dynamic structural system via K–L expansion and Bayesian deep neural network	10
The biology of imaging	10
Towards human-centred standards for legal help AI	10
Structured illumination ophthalmoscope: super-resolution microscopy on the living human eye	10
A variational approach to frame-indifferent quasistatic viscoelasticity of rate type	10
Negative refraction and mode trapping of flexural–torsional waves in elastic lattices	10
Boosting positron emission tomography reconstruction with positional encoding-based deep image prior	10
GPT-4 passes the bar exam	10
Co-designing transport models as a heuristic planning tool	10
Experimental neutrino physics in a nuclear landscape	10
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions	10
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant	10
Pseudo-bistability of viscoelastic shells	9
Micro-magnetic stimulation of primary visual cortex induces focal and sustained activation of secondary visual cortex	9
Strong gravitational lenses from the Vera C. Rubin Observatory	9
Towards using explainable data-driven surrogate models for treating performance-based seismic design as an inverse engineering problem	9
Global-local multi-field models for the stress analysis of laminated structures	9
Graphene nanoplatelets on recycled rubber: an experimental study of material properties and mechanical improvements	9
Fine-tuning the dispersion of active suspensions with oscillatory flows	9
Arctic freshwater impact on the Atlantic Meridional Overturning Circulation: status and prospects	9
An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures	9
Understanding the effect of adsorption sites of CO at cobalt surface on its reactivity with H 2 /H by DFT calculations	9
Novel 4D-printed multi-stable metamaterials: programmability of force-displacement behaviour and deformation sequence	9
Snap buckling of bistable beams under combined mechanical and magnetic loading	9
Future challenges for structural integrity of high-Iintegrity components	9
Classical consequences of constructive systems	9
On the Prandtl–Kolmogorov 1-equation model of turbulence	9
Super-resolution microscopy: a brief history and new avenues	9
Technical challenges of modelling real-life epidemics and examples of overcoming these	9
Hamiltonian/Stroh formalism for anisotropic media with microstructure	9
Load-dependent resistive-force theory for helical filaments	9
Mixed-quantum-classical or fully-quantized dynamics? A unified code to compare methods	9
Discovering significant topics from legal decisions with selective inference	9
Growth of Sobolev norms and loss of regularity in transport equations	9
Continuing invariant solutions towards the turbulent flow	9
Rapid eutectic growth: from rod growth to diffusionless solidification	9