Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Topics in the mathematical design of materials	199
Asymptotic symmetries of projectively compact order one Einstein manifolds	115
The profile of the Higgs boson: status and prospects	95
Non-pharmaceutical interventions for COVID-19: a systematic review on environmental control measures	88
Programmable adhesion through triangular and hierarchical cuts in metamaterial adhesives	75
Relationship between the methods of bounding time averages	71
Socio-economic impacts of energy access through off-grid systems in rural communities: a case study of southwest Nigeria	71
An inverse coefficient problem of identifying the flexural rigidity in damped Euler–Bernoulli beam from measured boundary rotation	69
Drought risk in the Anthropocene	69
A stochastic model of edge-localized modes in magnetically confined plasmas	65
Linear, weakly nonlinear and fully nonlinear models for soft tissues: which ones provide the most reliable estimations of the stiffness?	64
Falling weight deflectometer dispersion curve method for pavement modulus calculation	63
Synthesis of tin(IV) nitride with spinel structure, γ -Sn 3 N 4 , from the elements and its Raman-s	60
Quantification of fragmentation capture materials and an assessment of the viability of economical alternatives: a preliminary study	59
The shape of dendritic tips: a test of theory with computations and experiments	55
Reprogramming multi-stable snapping and energy dissipation in origami metamaterials through panel confinement	55
Heart rate variability and the dawn of complex physiological signal analysis: methodological and clinical perspectives	51
A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling	46
Neural in-memory checksums: an error detection and correction technique for safe in-memory inference	46
Machine teaching in Swarm Metaverse under different levels of autonomy	44
Distributed renewable energy systems for resilient and sustainable development of remote and vulnerable communities	43
Taylor–Couette flow of hard-sphere suspensions: overview of current understanding	40
Assessment of uncertainty quantification in universal differential equations	39
Development of a new quantum trajectory molecular dynamics framework	39
Turing pattern design principles and their robustness	39

A completely automated pipeline for 3D reconstruction of human heart from 2D cine magnetic resonance slices	39
Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: an extension of the Lifshitz–Slyozov theory	38
Characterizing and predicting the relationship between translaminar fracture toughness and pull-out length distributions under distinct temperatures	37
Machine learning-based rail corrugation recognition: a metro vehicle response and noise perspective	36
A generalized Ogden model for the compressibility of rubber-like solids	36
Hydrogen and wood-burning stoves	36
Hierarchical deep learning of multiscale differential equation time-steppers	35
A certain counterpart in dissipative setting of the Noether theorem with no dissipation pseudo-potentials	35
Studies of Turing pattern formation in zebrafish skin	34
Full-hand electrotactile feedback using electronic skin and matrix electrodes for high-bandwidth human–machine interfacing	34
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories	34
Accretion–ablation mechanics	33
Selective heterogeneous hydrodeoxygenation of acetophenone over monometallic and bimetallic Pt–Co catalyst	33
Quantum flux densities for electronic–nuclear motion: exact versus Born–Oppenheimer dynamics	32
Theories of disorder and order, energy and information, in sociological thought	31
Optimal control of epidemic spreading in the presence of social heterogeneity	30
Marangoni-driven nonlinear dynamics of bimolecular frontal systems: a general classification for equal diffusion coefficients	30
Practical parameter identifiability of respiratory mechanics in the extremely preterm infant	30
Self-regularization in turbulence from the Kolmogorov 4/5-law and alignment	30
Anti-plane waves in an elastic thin strip with surface energy	30
Overturning in the subpolar North Atlantic: a review	29
Localized bulging of an inflated rubber tube with fixed ends	29
Automated polynomial formal verification using generalized binary decision diagram patterns	29
Drifting plasmons in two-dimensional electron channels: circuit analogy	29
Geometrical origins of the universe dark sector: string-inspired torsion and anomalies as seeds for inflation and dark matter	28
Turbulence characteristics and flow dynamics impacts on the H-mode transition in favourable magnetic geometry with lower power threshold	28
Vote-processing rules for combining control recommendations from multiple models	28
Quantum brachistochrone	27
A parameter study of strato-rotational low-frequency modulations: impacts on momentum transfer and energy distribution	27
Disentangling the effects of non-adiabatic interactions upon ion self-diffusion within warm dense hydrogen	26
Coherent decision making stimulated within the social laser: open quantum systems framework	26
The influence of thermal pressure gradients and ionization (im)balance on the ambipolar diffusion and charge-neutral drifts	25
Theoretical study on time response of semiconductor photorefractive effects under subpicosecond ultra-fast X-rays	25
Evaluation of synergistic image registration for motion-corrected coronary NaF-PET-MR	25
Is the destruction or removal of atmospheric methane a worthwhile option?	24
Generalizing multipartite concentratable entanglement for practical applications: mixed, qudit and optical states	24
Growth and stabilization of induced seismicity rates during long-term, low-pressure fluid injection	24
Geometric mechanics of kiri-origami-based bifurcated mechanical metamaterials	24
How periodic surfaces bend	24
Parametric resonance of Alfvén waves driven by ionization-recombination waves in the weakly ionized solar atmosphere	24
Modern perspectives on near-equilibrium analysis of Turing systems	24
Harnessing electromagnetic data for tsunami source estimation: a comprehensive review	24
Orbital angular momentum of single photons: revealing quantum fundamentals	24
Agricultural methane emissions and the potential formitigation	23
The e-posterior	23
Core Imaging Library - Part II: multichannel reconstruction for dynamic and spectral tomography	22
Cold atoms meet lattice gauge theory	22
Optimizing counterdiabaticity by variational quantum circuits	22
Optimizing the cost of the STEP programme	22
From conformal infinity to equations of motion: conserved quantities in general relativity	22

A wide dynamic range diamond quantum sensor as an electric vehicle battery monitor	22
Electromagnetic follow-up of gravitational waves: review and lessons learned	22
Modelling of seismic assessment for large geological systems	22
Helical fluid and (Hall)-MHD turbulence: a brief review	22
A review on the theory of stable dendritic growth	21
Tensile material instabilities in elastic beam lattices lead to a bounded stability domain	21
Nanocracks in nature and industry	21
Methane removal and the proportional reductions in surface temperature and ozone	21
Centaur 29P/Schwassmann–Wachmann 1 and its near-nucleus environment from a stellar occultation	21
Answering some questions about structured illumination microscopy	21
Methods for quantifying methane emissions using unmanned aerial vehicles: a review	21
Rising methane: is there a methane emergency?	20
Non-Born–Oppenheimer effects in molecular photochemistry: an experimental perspective	20
Editorial: new Editor-in-Chief and the 360th anniversary of Philosophical Transactions	20
Open-flow mixing and transfer operators	19
Foreword to the special issue on new developments in structural stability	19
Physics-inspired analysis of the two-class income distribution in the USA in 1983–2018	19
Editorial: Mathematical problems in physical fluid dynamics: part II	19
An overview of elastic waveguides with dynamic sub-structures	19
Modelling wave–ice interactions in three dimensions in the marginal ice zone	18
Photo-induced enhanced Raman spectroscopy as a probe for photocatalytic surfaces	18
Influence of Br − /S 2− site-exchange on Li diffusion mechanism in Li 6 PS 5	18
Feasibility of determining asphalt pavement condition from falling weight deflectometer test and finite element model updating	18
Unmanned aerial vehicles equipped with sensor packages to study spatiotemporal variations of air pollutants in industry parks	18
Executive Summary to the Royal Society report “COVID-19: examining the effectiveness of non-pharmaceutical interventions”	18
Passenger flow anomaly detection in urban rail transit networks with graph convolution network–informer and Gaussian Bayes models	18
Empowering minorities and everyone in participatory budgeting: an agent-based modelling perspective	18
Microscale modelling of dielectrophoresis assembly processes	17
Characterizing super-spreaders using population-level weighted social networks in rural communities	17
Axisymmetry of critical points for the Onsager functional	17
Defect rocksalt structures in the La-Na-N system	17
Computational infrared and Raman spectra by hybrid QM/MM techniques: a study on molecular and catalytic material systems	17
Variability of complex oscillatory regimes in the stochastic model of cold-flame combustion of a hydrocarbon mixture	17
Fast-ion conduction and local environments in BIMEVOX	17
Social sciences and energy research interactions	16
Fatigue of hybrid fibre-reinforced plastics	16
Transitions in Taylor–Couette flow of concentrated non-colloidal suspensions	16
Paradigms of frustration in superionic solid electrolytes	16
Argument and explanation	16
Modelling the Arctic wave-affected marginal ice zone: a comparison with ICESat-2 observations	16
Combining contextuality and causality: a game semantics approach	15
Agreement and disagreement in a non-classical world	15
Searches for beyond-standard-model physics with astroparticle physics instruments	15
Acoustic waves in saturated porous media with gas bubbles	15
Bounds on heat flux for Rayleigh–Bénard convection between Navier-slip fixed-temperature boundaries	15
From vesicles to materials: bioinspired strategies for fabricating hierarchically structured soft matter	15
Mathematical problems of nematic liquid crystals: between dynamical and stationary problems	15
Bayesian emulation and history matching ofJUNE	15
Modelling herd immunity requirements in Queensland: impact of vaccination effectiveness, hesitancy and variants of SARS-CoV-2	15
Measures of contextuality in cyclic systems and the negative probabilities measure CNT 3	15
QCD factorization and quantum mechanics	15
Kinetic exchange models of societies and economies	15
Infrasound associated with the eruption of the Hunga volcano	15
Unified space–time description of pulsed twin beams	14
Gravity beyond Einstein? Yes, but in which direction?	14
Opinion polarization in social networks	14
The personal digital twin, ethical considerations	14
The past, present and future of multi-scale modelling applied to wave–structure interaction in ocean engineering	14
Modified kernel MLAA using autoencoder for PET-enabled dual-energy CT	14
Information decomposition in the frequency domain: a new framework to study cardiovascular and cardiorespiratory oscillations	14
An operational distinction between quantum entanglement and classical non-separability	14
On the ethical governance of swarm robotic systems in the real world	14
Adaptive neural network control for nonlinear cyber-physical systems subject to false data injection attacks with prescribed performance	14
Carbon dioxide and hydrogen as building blocks for a sustainable interface of energy and chemistry	14
Data-driven nonlinear model reduction to spectral submanifolds in mechanical systems	14
Modelling brain tissue elasticity with the Ogden model and an alternative family of constitutive models	14
Nanostructured NiS 2 -based flexible smart sensors for human respiration monitoring	14
Effectiveness of social distancing measures and lockdowns for reducing transmission of COVID-19 in non-healthcare, community-based settings	14
Selective dynamic band gap tuning in metamaterials using graded photoresponsive resonator arrays	13
Thermochemistry of hybrid materials	13
Remarks on the principles of statistical fluid mechanics	13
Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering	13
Surface wave across crack-tip in a lattice model	13
A special issue preface: Radiocarbon in the Anthropocene	13
Wave propagation in tailored metastructures consisting of elastic beams and rigid bodies	13
Estimation of local time-varying reproduction numbers in noisy surveillance data	13
Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem	13
Onset of synchronization in coupled Mixmaster oscillators	13
Managing the heat: In-Vessel Components	13
The lunar dust environment: concerns for Moon-based astronomy	13

Localized waves in elastic plates with perturbed honeycomb arrays of constraints	13
Quantum dynamics with curvilinear coordinates: models and kinetic energy operator	13
Analytic and conformal scattering in general relativity	12
Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity	12
Micrometeorite collections: a review and their current status	12
Which GAN? A comparative study of generative adversarial network-based fast MRI reconstruction	12
Correction to ‘Learning earth system models from observations: machine learning or data assimilation?’	12
Pattern formation in drying blood drops	12
Origami and materials science	12
Understanding domain-wall encoding theoretically and experimentally	12
Rare isotope-containing diamond colour centres for fundamental symmetry tests	12
Ecosystem and soil respiration radiocarbon detects old carbon release as a fingerprint of warming and permafrost destabilization with climate change	12
Routes to turbulence in Taylor–Couette flow	12
Experimental perspectives on the matter–antimatter asymmetry puzzle: developments in electron EDM and H¯ experiments	12
Asymptotic derivation of a higher-order one-dimensional model for tape springs	11
Buoyancy forcing and the subpolar Atlantic meridional overturning circulation	11
A unified lattice Boltzmann model and application to multiphase flows	11
Should AMOC observations continue: how and why?	11
Mechanics of pressurized planar hyperelastic membranes	11
Modelling changes in glass transition temperature in polymer matrices exposed to low molecular weight penetrants	11
Contributions of heterogeneous catalysis enabling resource efficiency and circular economy	11
Statistics of the number of defects after quantum annealing in a thermal environment	11
Sampling effects in quantum mechanical/molecular mechanics trajectory surface hopping non-adiabatic dynamics	11
Hierarchical Bayesian non-response models for error rates in forensic black-box studies	11
Spin–orbit coupling and Jahn–Teller effect in T d symmetry: an ab initio study o	11
Molecular interactions in short-chain perfluoroalkyl carboxylic acids and aqueous solutions	11
Brane-world singularities and asymptotics of five-dimensional bulk fluids	11
H-mode dithering phase studies on ST40	11
A network model of legal relations	11
Anisotropy in the cosmic acceleration inferred from supernovae	11
A kinetic model for magnetostriction of a ferrogel with physical networking	11
Greater than the parts: a review of the information decomposition approach to causal emergence	11
Correction to ‘A chronology of global air quality’	11
The case against smooth null infinity IV: Linearized gravity around Schwarzschild—an overview	11
A global assessment of the impact of school closure in reducing COVID-19 spread	11
Systems for intricate patterning of the vertebrate anatomy	11
Intelligent decision method for stability assessment of shield tunnel based on multi-objective data mining	11
A special issue on Bayesian inference: challenges, perspectives and prospects	11
Fatigue crack growth in epoxy polymer nanocomposites	11
Generalized quasi-linear approximation and non-normality in Taylor–Couette spiral turbulence	11
Variational inequality for a Timoshenko plate contacting at the boundary with an inclined obstacle	11
Correction: ‘Drying paint: from micro-scale dynamics to mechanical instabilities’ (2017), by Goehring et al.	11
Unified framework for localized patterns in reaction–diffusion systems; the Gray–Scott and Gierer–Meinhardt cases	11
Introduction to ‘Artificial intelligence in failure analysis of transportation infrastructure and materials'	11
Toughening materials: enhancing resistance to fracture	10
Wave propagation in the marginal ice zone: connections and feedback mechanisms within the air–ice–ocean system	10
A variational approach to frame-indifferent quasistatic viscoelasticity of rate type	10
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces	10
Sailing through the southern seas of air–sea CO 2 flux uncertainty	10
Towards an advanced neurotechnological system: colorimetric sensing with a novel grism-based spectrometer, functionalized gold nanoparticles and a heterogeneous embedded system	10
Rapid eutectic growth: from rod growth to diffusionless solidification	10
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant	10
Tunable wave coupling in periodically rotated Miura-ori tubes	10
A physics-guided modelling method of artificial neural network for multiaxial fatigue life prediction under irregular loading	10
Atmospheric methane and nitrous oxide: challenges alongthe path to Net Zero	10
Asymptotics of the meta-atom: plane wave scattering by a single Helmholtz resonator	10
C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler	10
Towards human-centred standards for legal help AI	10
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions	10
Virtual walks inspired by a mean-field kinetic exchange model of opinion dynamics	10
On the ambipolar diffusion formulation for ion-neutral drifts in the non-negligible drift velocity limit	10
Systematic study of precursor effects on structure and oxygen reduction reaction activity of FeNC catalysts	10
Taylor–Couette and related flows on the centennial of Taylor’s seminalPhilosophical Transactionspaper: part 2	10
Characteristics of constrained turbulent transport in flux-driven toroidal plasmas	10
TransCrack: revisiting fine-grained road crack detection with a transformer design	10
Data science approaches to confronting the COVID-19 pandemic: a narrative review	10
Isotopic signatures of methane emissions from tropical fires, agriculture and wetlands: the MOYA and ZWAMPS flights	10
New insights into air-sea fluxes and their role in Subantarctic Mode Water formation	10
The biology of imaging	10
Mean structure of the supercritical turbulent spiral in Taylor–Couette flow	10
X-ray astronomy from the lunar surface	10
The quantum optics of media	10
Director alignment at the nematic–isotropic interface: elastic anisotropy and active anchoring	10
Contrasting internally and externally generated Atlantic Multidecadal Variability and the role for AMOC in CMIP6 historical simulations	9
Proof theory and non-smooth analysis	9
Mathematical modelling of fracture waves in a blocky medium with thin compliant interlayers	9
Physical model and numerical simulation of high-temperature silicification of carbon composite material	9
Technical challenges of modelling real-life epidemics and examples of overcoming these	9
On the Prandtl–Kolmogorov 1-equation model of turbulence	9
Growth of Sobolev norms and loss of regularity in transport equations	9
Co-designing transport models as a heuristic planning tool	9
Signalling and social learning in swarms of robots	9
An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures	9
Active exterior cloaking of an inclusion with evanescent multipole devices for flexural waves in thin plates	9
Continuing invariant solutions towards the turbulent flow	9
Mixed-quantum-classical or fully-quantized dynamics? A unified code to compare methods	9
GPT-4 passes the bar exam	9
Theory and application of cavity solitons in photonic devices	9
A time variant uncertainty propagation method for high-dimensional dynamic structural system via K–L expansion and Bayesian deep neural network	9
Thermoelectric instabilities in a circular Couette flow	9
Experimental neutrino physics in a nuclear landscape	9
Global-local multi-field models for the stress analysis of laminated structures	9
Pseudo-bistability of viscoelastic shells	9
Micro-magnetic stimulation of primary visual cortex induces focal and sustained activation of secondary visual cortex	9
Spectral invariants of ergodic symbolic systems for pattern recognition and anomaly detection	9