Philosophical Transactions of the Royal Society A-Mathematical Physica

Article	Citations
Application of Boltzmann kinetic equations to model X-ray-created warm dense matter and plasma	627
Pristine microstructures in pseudotachylytes formed in dry lower crust, Lofoten, Norway	240
Remarks on anomalous dissipation for passive scalars	206
Canyon Diablo lonsdaleite is a nanocomposite containing c/h stacking disordered diamond and diaphite	149
Quantification of fragmentation capture materials and an assessment of the viability of economical alternatives: a preliminary study	92
Exploring the length scales, timescales and chemistry of challenging materials (Part 2)	84
Coal seam gas industry methane emissions in the Surat Basin, Australia: comparing airborne measurements with inventories	83
Neural in-memory checksums: an error detection and correction technique for safe in-memory inference	82
Exploiting the lock: leveraging MiG-V's logic locking for secret-data extraction	81
Earthquake physics beyond the linear fracture mechanics: a discrete approach	79
Challenges in modelling dynamic processes in realistic nanostructured materials at operating conditions	77
On a frictional unilateral contact problem in nonlinear elasticity—existence and smoothing procedure	76
Non-reciprocity induces resonances in a two-field Cahn–Hilliard model	72
A novel learning function for adaptive surrogate-model-based reliability evaluation	71
Studies of Turing pattern formation in zebrafish skin	65
Relationship between the methods of bounding time averages	63
Industrial applications of digital twins	63
Strategic analysis of the drought resilience of water supply systems	59
Unexpected, mystifying but simple three-dimensional dynamic fracture phenomena	58
Tracking the national and regional COVID-19 epidemic status in the UK using weighted principal component analysis	58
A critical review of life cycle assessment studies of woody biomass conversion to sugars	55
Geodiversity in the Amazon drainage basin	55
Introduction to ‘Recent progress and open frontiers in Turing’s theory of morphogenesis’	55
Buckling versus unilateral constraint for a multistable metamaterial element	53
Wave generation and transmission in multi-scale complex media and structured metamaterials	52

Observation of anomalous spectral downshifting of waves in the Okhotsk Sea Marginal Ice Zone	49
Rapid eutectic growth: from rod growth to diffusionless solidification	42
Emerging scale invariance in a model of turbulence of vortices and waves	39
Lateral force removal of fungal spores to demonstrate how surface properties affect fungal spore retention	39
Quantum fermions from classical bits	38
A no-individuals account of quantum mechanics	37
Clustering of fluoride and phosphate ions in bioactive glass from computer simulation	37
Abstraction, equality and univalence	36
The impact of spatially varying wetland source signatures on the atmospheric variability ofδD-CH4	35
Entropic stochastic resonance induced by a transverse driving force	34
Structured illumination ophthalmoscope: super-resolution microscopy on the living human eye	34
Virtual walks inspired by a mean-field kinetic exchange model of opinion dynamics	33
The uniform Kruskal theorem: between finite combinatorics and strong set existence	33
Editorial: Scaling the Turbulence Edifice (part 2)	33
Nano-samples give higher brittle strength by the Griffith energy principle	31
Empirical legal analysis simplified: reducing complexity through automatic identification and evaluation of legally relevant factors	31
Proof theory and non-smooth analysis	31
A variational approach to frame-indifferent quasistatic viscoelasticity of rate type	30
Towards human-centred standards for legal help AI	30
Mathematical modelling of fracture waves in a blocky medium with thin compliant interlayers	30
VECMAtk: a scalable verification, validation and uncertainty quantification toolkit for scientific simulations	29
Socio-economic impacts of energy access through off-grid systems in rural communities: a case study of southwest Nigeria	28
Hydrogen and wood-burning stoves	27
The shape of dendritic tips: a test of theory with computations and experiments	27
Reformulating the susceptible–infectious–removed model in terms of the number of detected cases: well-posedness of the observational model	27
Statistical and agent-based modelling of the transmissibility of different SARS-CoV-2 variants in England and impact of different interventions	27
Counterdiabatic driving for periodically driven open quantum systems	27
New futures for cosmological models	27
Suppression of galloping oscillations by injecting a high-frequency excitation	27
Optimal cooling of an internally heated disc	26
Quantitative analysis of compatible microstructure by electron backscatter diffraction	26
Kinetic exchange income distribution models with saving propensities: inequality indices and self-organized poverty level	26
Instanton theory for Fermi’s golden rule and beyond	26
Viscoelastic instabilities of Taylor–Couette flows with different rotation regimes	26
The importance of both catalyst and process design in unlocking sustainable carbon feedstocks through syngas	25
Distributed renewable energy systems for resilient and sustainable development of remote and vulnerable communities	25
Experimental neutrino physics in a nuclear landscape	25
A stochastic model of edge-localized modes in magnetically confined plasmas	24
Geoconservation at the International Union for Conservation of Nature (IUCN)	24
Behavioural response to heterogeneous severity of COVID-19 explains temporal variation of cases among different age groups	24
Full-hand electrotactile feedback using electronic skin and matrix electrodes for high-bandwidth human–machine interfacing	24
Asymptotic symmetries of projectively compact order one Einstein manifolds	24
Understanding the transgression of global and regional freshwater planetary boundaries	24
CO 2 hydrogenation to methanol over Pt functionalized Hf-UiO-67 versus Zr-UiO-67	24
Towards an advanced neurotechnological system: colorimetric sensing with a novel grism-based spectrometer, functionalized gold nanoparticles and a heterogeneous embedded system	23
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant	23
A model study of convergent dynamics in the marginal ice zone	23
Multi-scale satellite observations of Arctic sea ice: new insight into the life cycle of the floe size distribution	22
Remarks on stationary and uniformly rotating vortex sheets: flexibility results	22
Exploring the origin of turbulent Taylor rolls	22

Causal viewpoint and ensemble interpretation: from physics to the social sciences	21
A time variant uncertainty propagation method for high-dimensional dynamic structural system via K–L expansion and Bayesian deep neural network	21
Pavement crack detection based on point cloud data and data fusion	21
Non-pharmaceutical interventions for COVID-19: a systematic review on environmental control measures	21
New insights into air-sea fluxes and their role in Subantarctic Mode Water formation	21
Interpretable fusion methodology of health indices with an application to industrial turbine cavitation condition monitoring	21
Probing the stability landscape of cylindrical shells for buckling knockdown factors	21
The biology of imaging	21
Mean structure of the supercritical turbulent spiral in Taylor–Couette flow	21
Towards symbiotic autonomous systems	21
Systematic study of precursor effects on structure and oxygen reduction reaction activity of FeNC catalysts	20
Lattice Boltzmann method investigation of a reactive electro-kinetic flow in porous media: towards a phenomenological model	20
Safety: a proportionate approach in an uncertain application	20
Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces	20
100 years of mathematical cosmology: Models, theories, and problems, Part A	20
Falling weight deflectometer dispersion curve method for pavement modulus calculation	19
A decrease in the age of respired carbon from the terrestrial biosphere and increase in the asymmetry of its distribution	19
Extremal states and coupling properties in electroelasticity	19
Frontal waves and transmissions for temporal laminates and imperfect chiral interfaces	19
A completely automated pipeline for 3D reconstruction of human heart from 2D cine magnetic resonance slices	19
The dilemma of valuing geodiversity: geoconservation versus geotourism	19
Heart rate variability and the dawn of complex physiological signal analysis: methodological and clinical perspectives	19
Tracing the impacts of recent rapid sea ice changes and the A68 megaberg on the surface freshwater balance of the Weddell and Scotia Seas	19
Core Imaging Library - Part I: a versatile Python framework for tomographic imaging	19
Two photons everywhere	18
Stokes drift and its discontents	18
Machine learning-based rail corrugation recognition: a metro vehicle response and noise perspective	18
Logics and admissible rules of constructive set theories	18
Characterizing and predicting the relationship between translaminar fracture toughness and pull-out length distributions under distinct temperatures	18
Ogden material calibration via magnetic resonance cartography, parameter sensitivity and variational system identification	18
Quantum contextuality, causality and freedom of choice	17
Labrador sea water spreading and the Atlantic meridional overturning circulation	17
Greenhouse gases drove the increasing trends in spring precipitation across the central USA	17
Experimentally probing the stability of thin-shell structures under pure bending	17
Characterization and modelling of the hygro-viscoelastic behaviour of polymer-based composites used in marine environment	17
Double transition in kinetic exchange opinion models with activation dynamics	17
The profile of the Higgs boson: status and prospects	17
Thermoelectric instabilities in a circular Couette flow	17
Laser-free super-resolution microscopy	17
Contrasting internally and externally generated Atlantic Multidecadal Variability and the role for AMOC in CMIP6 historical simulations	16
Collective knowledge: organizing research projects as a database of reusable components and portable workflows with common interfaces	16
Einstein flow with matter sources: stability and convergence	16
Enhanced diffuse optical tomographic reconstruction using concurrent ultrasound information	16
Sailing through the southern seas of air–sea CO 2 flux uncertainty	15
Ostwald ripening in the presence of simultaneous occurrence of various mass transfer mechanisms: an extension of the Lifshitz–Slyozov theory	15
Drought risk in the Anthropocene	15
From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories	15
What’s down there? The structures, materials and environment of deep-seated slow slip and tremor	15
Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions	15
A peridynamic approach to simulating fatigue crack propagation in composite materials	15
Are maximum magnitudes of induced earthquakes controlled by pressure diffusion?	15
Predicting concurrent structural mechanical mechanisms during microstructure evolution	15
Stably stratified Taylor–Couette flows	15
δ 13 C methane source signatures from tropical wetland and rice field emissions	15
Theory and application of cavity solitons in photonic devices	14
Physics-informed machine learning: case studies for weather and climate modelling	14
Linear, weakly nonlinear and fully nonlinear models for soft tissues: which ones provide the most reliable estimations of the stiffness?	14
Accretion–ablation mechanics	14
Oceanic and ionospheric tidal magnetic fields extracted from global geomagnetic observatory data	14
Gauge and unitary transformations in multipolar quantum optics	14
Non-classicality and the effect of one photon	14
Quantum information approach to high energy interactions	14
The quantum optics of media	14
The quantum theory of light	14
A certain counterpart in dissipative setting of the Noether theorem with no dissipation pseudo-potentials	14
Topics in the mathematical design of materials	14
Arctic freshwater impact on the Atlantic Meridional Overturning Circulation: status and prospects	13
Current developments in elastic and acoustic metamaterials science	13
Taylor–Couette flow of hard-sphere suspensions: overview of current understanding	13
Effect of water on the glass transition of a potassium-magnesium carbonate melt	13
A thermodynamic basis for teleological causality	13
A framework for probabilistic weather forecast post-processing across models and lead times using machine learning	13
Marginal ice zone dynamics: future research perspectives and pathways	13
Synthesis of tin(IV) nitride with spinel structure, γ -Sn 3 N 4 , from the elements and its Raman-s	13
An inverse coefficient problem of identifying the flexural rigidity in damped Euler–Bernoulli beam from measured boundary rotation	13
Emergence and algorithmic information dynamics of systems and observers	13
Socially intelligent machines that learn from humans and help humans learn	13
Negative refraction and mode trapping of flexural–torsional waves in elastic lattices	13
Extracting stochastic governing laws by non-local Kramers–Moyal formulae	13
Hierarchical deep learning of multiscale differential equation time-steppers	13

Methanol diffusion and dynamics in zeolite H-ZSM-5 probed by quasi-elastic neutron scattering and classical molecular dynamics simulations	13
Modes of the Dark Ages 21 cm field accessible to a lunar radio interferometer	12
Complex systems perspective in assessing risks in artificial intelligence	12
The dangers of single-lap shear testing in understanding polymer composite welded joints	12
Maturing the design: challenges in maturing a first of a kind fusion power plant	12
Reprogramming multi-stable snapping and energy dissipation in origami metamaterials through panel confinement	12
Lagrangian approach to origami vertex analysis: kinematics	12
X-ray astronomy from the lunar surface	12
A complexity science approach to law and governance	12
Supply security beyond mines and scrap recycling: valorization potential of metallurgical residues	12
Group-theoretic analysis of symmetry-preserving deployable structures and metamaterials	12
Hypothesizing an algorithm from one example: the role of specificity	12
Understanding computational dialogue understanding	12
Preface to ‘Green carbon for the chemical industry of the future’	12
The role of the Southern Ocean in the global climate response to carbon emissions	12
Astronomy from the Moon: the next decades (part 2)	12
Co-designing transport models as a heuristic planning tool	12
Modelling science return from the lunar crater radio telescope on the far side of the moon	12
STEP–organizing a major project to tackle significant uncertainty	12
Improving mass lumping and stiffness parameters of bar and hinge model for accurate modal dynamics of origami structures	12
Tunable wave coupling in periodically rotated Miura-ori tubes	12
Potential and perils: paths to protecting lunar sites of extraordinary scientific importance (SESIs) for astronomy before it is too late	12
Programmable adhesion through triangular and hierarchical cuts in metamaterial adhesives	12
Isotopic signatures of methane emissions from tropical fires, agriculture and wetlands: the MOYA and ZWAMPS flights	11
Non-flooded riparian Amazon trees are a regionally significant methane source	11
Machine learning-based identification of segment joint failure in underground tunnels	11
Narrowband photoluminescence of Tin-Vacancy colour centres in Sn-doped chemical vapour deposition diamond microcrystals	11
An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures	11
Linear and brute force stability of orthogonal moment multiple-relaxation-time lattice Boltzmann methods applied to homogeneous isotropic turbulence	11
FAIR data pipeline: provenance-driven data management for traceable scientific workflows	11
Optimal criteria and their asymptotic form for data selection in data-driven reduced-order modelling with Gaussian process regression	11
On the role of geometric phase in the dynamics of elastic waveguides	11
GPT-4 passes the bar exam	11
A generalized Ogden model for the compressibility of rubber-like solids	11
Fault logic and data-driven model for operation reliability analysis of the flap deflection angle	11
Dynamical invariant formalism of shortcuts to adiabaticity	11
Investigating and exploiting the impact of variability in resonator parameters on the vibration attenuation in locally resonant metamaterials	11
Domain-driven models yield better predictions at lower cost than reservoir computers in Lorenz systems	10
Quantum computing for swarm robotics: a local-to-global approach	10
Properties of tsunami-generated electromagnetic variation observed on islands	10
On the ambipolar diffusion formulation for ion-neutral drifts in the non-negligible drift velocity limit	10
Predicting atmospheric optical properties for radiative transfer computations using neural networks	10
Super-resolution microscopy: a brief history and new avenues	10
An efficient multiscale method for subwavelength transient analysis of acoustic metamaterials	10
Turing pattern design principles and their robustness	10
AI and the nature of disagreement	10
How the birth and death of shear layers determine confinement evolution: from the L → H transition to the density limit	10
On end-point distribution for directed polymers and related problems for randomly forced Burgers equation	10
Machine teaching in Swarm Metaverse under different levels of autonomy	10
Milling as a route to porous graphitic carbons from biomass	10
Overall constitutive properties of stratified lattices with alternating chirality	10
Radiative loss and ion-neutral collisional effects in astrophysical plasmas	10
Bayesian causal inference: a critical review	10
Unequal impact and spatial aggregation distort COVID-19 growth rates	10
Development of a new quantum trajectory molecular dynamics framework	10
IMPACT: In-Memory ComPuting Architecture based on Y-FlAsh Technology for Coalesced Tsetlin machine inference	10
mmSIM: an open toolbox for accessible structured illumination microscopy	10
An econometric model for intraday electricity trading	10
Overturning in the subpolar North Atlantic: a review	10
Signalling and social learning in swarms of robots	10
Correction to: ‘Gravitational waves from a first-order electroweak phase transition: a brief review’ (2018) by Weir	10
Stochastic and vibrational resonance in complex networks of neurons	10
Simulations of frustrated Ising Hamiltonians using quantum approximate optimization	10
Selective heterogeneous hydrodeoxygenation of acetophenone over monometallic and bimetallic Pt–Co catalyst	10
An open-source alignment method for multichannel infinite-conjugate microscopes using a ray transfer matrix analysis model	10
Learning earth system models from observations: machine learning or data assimilation?	10
On the philosophical, cognitive and mathematical foundations of symbiotic autonomous systems	10
A model of symbiomemesis: machine education and communication as pillars for human-autonomy symbiosis	10
Discovering significant topics from legal decisions with selective inference	9
Drifting plasmons in two-dimensional electron channels: circuit analogy	9
Reproducible validation and replication studies in nanoscale physics	9
Self-similar hierarchy of coherent tubular vortices in turbulence	9
A parameter study of strato-rotational low-frequency modulations: impacts on momentum transfer and energy distribution	9
Probing in situ capacities of prestressed stayed columns: towards a novel structural health monitoring technique	9
Aether, dark energy and string compactifications	9
Quantum brachistochrone	9
Generalizing multipartite concentratable entanglement for practical applications: mixed, qudit and optical states	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
Self-similarity in turbulence and its applications	9
Hamiltonian/Stroh formalism for anisotropic media with microstructure	9
Optimal control of epidemic spreading in the presence of social heterogeneity	9
Steady thermal convection representing the ultimate scaling	9
Transition of fluctuations from Gaussian state to turbulent state	9
Navigating the cohesion-diversity trade-off: understanding the role of facilitators in co-creation using agent-based modelling	9
Co-creating the future: participatory cities and digital governance	9
Understanding the effect of adsorption sites of CO at cobalt surface on its reactivity with H 2 /H by DFT calculations	9
Artefact design and societal worldview	9
Hybrid social learning in human-algorithm cultural transmission	9
On some applications of vibrational resonance on noisy image perception: the role of the perturbation parameters	9
A test of Conserving Nature's Stage: protecting a diversity of geophysical traits can also support a diversity of species at a landscape scale	9
Towards implementing artificial intelligence post-processing in weather and climate: proposed actions from the Oxford 2019 workshop	9
End effects in low aspect ratio Taylor–Couette flow	9
Amphoteric dissolution of two-dimensional polytriazine imide carbon nitrides in water	9
No one-size-fits-all: Multi-actor perspectives on public participation and digital participatory platforms	9