Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Development of a new quantum trajectory molecular dynamics framework	142
Taylor–Couette flow of hard-sphere suspensions: overview of current understanding	135
Challenges and opportunities for time-delay cosmography with multi-messenger gravitational lensing	111
Full-hand electrotactile feedback using electronic skin and matrix electrodes for high-bandwidth human–machine interfacing	96
Reprogramming multi-stable snapping and energy dissipation in origami metamaterials through panel confinement	77
Socio-economic impacts of energy access through off-grid systems in rural communities: a case study of southwest Nigeria	76
Machine learning-based rail corrugation recognition: a metro vehicle response and noise perspective	76
Drought risk in the Anthropocene	61
Machine teaching in Swarm Metaverse under different levels of autonomy	56
Turing pattern design principles and their robustness	54
Assessment of uncertainty quantification in universal differential equations	52
Quantification of fragmentation capture materials and an assessment of the viability of economical alternatives: a preliminary study	51
Asymptotic symmetries of projectively compact order one Einstein manifolds	50
Hydrogen and wood-burning stoves	47
A comparison of Gaussian processes and polynomial chaos emulators in the context of haemodynamic pulse–wave propagation modelling	44
A stochastic model of edge-localized modes in magnetically confined plasmas	44
The profile of the Higgs boson: status and prospects	43
Falling weight deflectometer dispersion curve method for pavement modulus calculation	42
A certain counterpart in dissipative setting of the Noether theorem with no dissipation pseudo-potentials	41
Neural in-memory checksums: an error detection and correction technique for safe in-memory inference	40
An inverse coefficient problem of identifying the flexural rigidity in damped Euler–Bernoulli beam from measured boundary rotation	40
Programmable adhesion through triangular and hierarchical cuts in metamaterial adhesives	39
Linear, weakly nonlinear and fully nonlinear models for soft tissues: which ones provide the most reliable estimations of the stiffness?	38
Characterizing and predicting the relationship between translaminar fracture toughness and pull-out length distributions under distinct temperatures	37
Studies of Turing pattern formation in zebrafish skin	37

A generalized Ogden model for the compressibility of rubber-like solids	36
Distributed renewable energy systems for resilient and sustainable development of remote and vulnerable communities	36
Relationship between the methods of bounding time averages	35
Hierarchical deep learning of multiscale differential equation time-steppers	35
Accretion–ablation mechanics	34
Synthesis of tin(IV) nitride with spinel structure, γ -Sn 3 N 4 , from the elements and its Raman-s	34
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories	32
Temporarily trapped: stormwater pond sediment is a key transient sink for microplastic debris	31
Bridging the gap: a review on the interaction between (micro)plastics and climate change	31
Non-pharmaceutical interventions for COVID-19: a systematic review on environmental control measures	30
Anti-plane waves in an elastic thin strip with surface energy	30
Optimizing the cost of the STEP programme	30
How periodic surfaces bend	29
Theories of disorder and order, energy and information, in sociological thought	28
Theoretical study on time response of semiconductor photorefractive effects under subpicosecond ultra-fast X-rays	28
The influence of thermal pressure gradients and ionization (im)balance on the ambipolar diffusion and charge-neutral drifts	27
Coherent decision making stimulated within the social laser: open quantum systems framework	27
The e-posterior	27
Orbital angular momentum of single photons: revealing quantum fundamentals	27
Growth and stabilization of induced seismicity rates during long-term, low-pressure fluid injection	26
Generalizing multipartite concentratable entanglement for practical applications: mixed, qudit and optical states	26
Harnessing electromagnetic data for tsunami source estimation: a comprehensive review	26
Marangoni-driven nonlinear dynamics of bimolecular frontal systems: a general classification for equal diffusion coefficients	26
Automated polynomial formal verification using generalized binary decision diagram patterns	26
Disentangling the effects of non-adiabatic interactions upon ion self-diffusion within warm dense hydrogen	26
Localized bulging of an inflated rubber tube with fixed ends	25
Optimal control of epidemic spreading in the presence of social heterogeneity	25
Parametric resonance of Alfvén waves driven by ionization-recombination waves in the weakly ionized solar atmosphere	24
Turbulence characteristics and flow dynamics impacts on the H-mode transition in favourable magnetic geometry with lower power threshold	24
Electromagnetic follow-up of gravitational waves: review and lessons learned	24
Geometrical origins of the universe dark sector: string-inspired torsion and anomalies as seeds for inflation and dark matter	23
Drifting plasmons in two-dimensional electron channels: circuit analogy	23
Overturning in the subpolar North Atlantic: a review	22
Self-regularization in turbulence from the Kolmogorov 4/5-law and alignment	22
Practical parameter identifiability of respiratory mechanics in the extremely preterm infant	22
Vote-processing rules for combining control recommendations from multiple models	22
Quantum flux densities for electronic–nuclear motion: exact versus Born–Oppenheimer dynamics	22
Cold atoms meet lattice gauge theory	22
Quantum brachistochrone	21
Is the destruction or removal of atmospheric methane a worthwhile option?	21
Modern perspectives on near-equilibrium analysis of Turing systems	21
A parameter study of strato-rotational low-frequency modulations: impacts on momentum transfer and energy distribution	21
Physics-inspired analysis of the two-class income distribution in the USA in 1983–2018	20
Helical fluid and (Hall)-MHD turbulence: a brief review	20
Open-flow mixing and transfer operators	20
From conformal infinity to equations of motion: conserved quantities in general relativity	20
Editorial: Mathematical problems in physical fluid dynamics: part II	20
Geometric mechanics of kiri-origami-based bifurcated mechanical metamaterials	20
Nanocracks in nature and industry	19
Rising methane: is there a methane emergency?	19

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

Analytic and conformal scattering in general relativity	13
Localized waves in elastic plates with perturbed honeycomb arrays of constraints	13
A special issue on Bayesian inference: challenges, perspectives and prospects	12
Effects of the growth and freezing of condensate droplets on the initial frost thickness and density of cold surfaces	12
Unified framework for localized patterns in reaction–diffusion systems; the Gray–Scott and Gierer–Meinhardt cases	12
Introduction to ‘Artificial intelligence in failure analysis of transportation infrastructure and materials'	12
A physics-guided modelling method of artificial neural network for multiaxial fatigue life prediction under irregular loading	12
Correction: ‘Drying paint: from micro-scale dynamics to mechanical instabilities’ (2017), by Goehring et al.	12
H-mode dithering phase studies on ST40	12
Molecular interactions in short-chain perfluoroalkyl carboxylic acids and aqueous solutions	12
Characteristics of constrained turbulent transport in flux-driven toroidal plasmas	12
Anisotropy in the cosmic acceleration inferred from supernovae	12
Statistics of the number of defects after quantum annealing in a thermal environment	12
Taylor–Couette and related flows on the centennial of Taylor’s seminalPhilosophical Transactionspaper: part 2	12
Contributions of heterogeneous catalysis enabling resource efficiency and circular economy	12
Intelligent decision method for stability assessment of shield tunnel based on multi-objective data mining	12
Highly efficient and rapid dechlorination of polyvinyl chloride via microwave pyrolysis	12
Brane-world singularities and asymptotics of five-dimensional bulk fluids	12
Experimental–theoretical analysis of cooling and freezing of a droplet in contact with a cold substrate: influence of substrate wettability	12
Buoyancy forcing and the subpolar Atlantic meridional overturning circulation	12
Asymptotics of the meta-atom: plane wave scattering by a single Helmholtz resonator	12
Spin–orbit coupling and Jahn–Teller effect in T d symmetry: an ab initio study o	12
Machine-learning perspectives on Volterra system identification	12
A network model of legal relations	12
Generalized quasi-linear approximation and non-normality in Taylor–Couette spiral turbulence	12
A global assessment of the impact of school closure in reducing COVID-19 spread	12
Sampling effects in quantum mechanical/molecular mechanics trajectory surface hopping non-adiabatic dynamics	11
Virtual walks inspired by a mean-field kinetic exchange model of opinion dynamics	11
Arctic freshwater impact on the Atlantic Meridional Overturning Circulation: status and prospects	11
Isotopic signatures of methane emissions from tropical fires, agriculture and wetlands: the MOYA and ZWAMPS flights	11
Tunable wave coupling in periodically rotated Miura-ori tubes	11
Influence of microplastics on small-scale soil surface roughness and implications for wind transport of microplastic particles	11
Asymptotic derivation of a higher-order one-dimensional model for tape springs	11
Variational inequality for a Timoshenko plate contacting at the boundary with an inclined obstacle	11
Data science approaches to confronting the COVID-19 pandemic: a narrative review	11
Greater than the parts: a review of the information decomposition approach to causal emergence	11
Signalling and social learning in swarms of robots	11
Thermoelectric instabilities in a circular Couette flow	11
On the ambipolar diffusion formulation for ion-neutral drifts in the non-negligible drift velocity limit	11
Non-flooded riparian Amazon trees are a regionally significant methane source	11
C 0, α boundary regularity for the pressure in weak solutions of the 2 d Euler	11
Should AMOC observations continue: how and why?	11
TransCrack: revisiting fine-grained road crack detection with a transformer design	11
Modelling changes in glass transition temperature in polymer matrices exposed to low molecular weight penetrants	11
The quantum optics of media	11
Proof theory and non-smooth analysis	11
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces	11
X-ray astronomy from the lunar surface	11
Wave propagation in the marginal ice zone: connections and feedback mechanisms within the air–ice–ocean system	11
Mechanics of pressurized planar hyperelastic membranes	11
Hierarchical Bayesian non-response models for error rates in forensic black-box studies	11
The biology of imaging	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
Modal analysis and optimization of swimming active filaments	10
Sailing through the southern seas of air–sea CO 2 flux uncertainty	10
The quantum theory of light	10
Co-designing transport models as a heuristic planning tool	10
Experimental neutrino physics in a nuclear landscape	10
Towards human-centred standards for legal help AI	10
A time variant uncertainty propagation method for high-dimensional dynamic structural system via K–L expansion and Bayesian deep neural network	10
Contrasting internally and externally generated Atlantic Multidecadal Variability and the role for AMOC in CMIP6 historical simulations	10
Rapid eutectic growth: from rod growth to diffusionless solidification	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
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant	10
An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures	10
GPT-4 passes the bar exam	10
Boosting positron emission tomography reconstruction with positional encoding-based deep image prior	10
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
New insights into air-sea fluxes and their role in Subantarctic Mode Water formation	9
Negative refraction and mode trapping of flexural–torsional waves in elastic lattices	9
Spectral invariants of ergodic symbolic systems for pattern recognition and anomaly detection	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
Physical model and numerical simulation of high-temperature silicification of carbon composite material	9
Mean structure of the supercritical turbulent spiral in Taylor–Couette flow	9
Theory and application of cavity solitons in photonic devices	9
Transition of fluctuations from Gaussian state to turbulent state	9
Hamiltonian/Stroh formalism for anisotropic media with microstructure	9
Computational modelling of biological systems now and then: revisiting tools and visions from the beginning of the century	9
Micro-magnetic stimulation of primary visual cortex induces focal and sustained activation of secondary visual cortex	9
Towards using explainable data-driven surrogate models for treating performance-based seismic design as an inverse engineering problem	9
Continuing invariant solutions towards the turbulent flow	9
Growth of Sobolev norms and loss of regularity in transport equations	9
Galaxy clusters as probes of cosmic isotropy	9
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions	9
Super-resolution microscopy: a brief history and new avenues	9
Technical challenges of modelling real-life epidemics and examples of overcoming these	9
Load-dependent resistive-force theory for helical filaments	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