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Entanglement between Identical Particles Is a Useful and Consistent Resource (2020)
Journal Article
Morris, B., Yadin, B., Fadel, M., Zibold, T., Treutlein, P., & Adesso, G. (2020). Entanglement between Identical Particles Is a Useful and Consistent Resource. Physical Review X, 10(4), Article 041012. https://doi.org/10.1103/physrevx.10.041012

The existence of fundamentally identical particles represents a foundational distinction between classical and quantum mechanics. Due to their exchange symmetry, identical particles can appear to be entangled - another uniquely quantum phenomenon wit... Read More about Entanglement between Identical Particles Is a Useful and Consistent Resource.

Transfer operator approach to ray-tracing in circular domains (2020)
Journal Article
Slipantschuk, J., Richter, M., Chappell, D. J., Tanner, G., Just, W., & Bandtlow, O. F. (2020). Transfer operator approach to ray-tracing in circular domains. Nonlinearity, 33(11), 5773-5790. https://doi.org/10.1088/1361-6544/ab9dca

The computation of wave-energy distributions in the mid-to-high frequency regime can be reduced to ray-tracing calculations. Solving the ray-tracing problem in terms of an operator equation for the energy density leads to an inhomogeneous equation wh... Read More about Transfer operator approach to ray-tracing in circular domains.

Kernels of L-functions and shifted convolutions (2020)
Journal Article
Diamantis, N. (2020). Kernels of L-functions and shifted convolutions. Proceedings of the American Mathematical Society, 148, 5059-5070. https://doi.org/10.1090/proc/15182

We give a characterisation of the field into which quotients of values of L-functions associated to a cusp form belong. The construction involves shifted convolution series of divisor sums and to establish it we combine parts of F. Brown's technique... Read More about Kernels of L-functions and shifted convolutions.

A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm (2020)
Journal Article
Dalwadi, M. P., & King, J. R. (2020). A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm. SIAM Journal on Applied Mathematics, 80(4), 1723-1750. https://doi.org/10.1137/19m130220x

When modelling transport of a chemical species to a colony of bacteria in a biofilm, it is computationally expensive 4 to treat each bacterium even as a point sink, let alone to capture the finite nature of each bacterium. Instead, models tend to 5 t... Read More about A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm.

Probability density function (PDF) models for particle transport in porous media (2020)
Journal Article
Icardi, M., & Dentz, M. (2020). Probability density function (PDF) models for particle transport in porous media. GEM - International Journal on Geomathematics, 11(1), Article 20. https://doi.org/10.1007/s13137-020-00153-z

© 2020, The Author(s). Mathematical models based on probability density functions (PDF) have been extensively used in hydrology and subsurface flow problems, to describe the uncertainty in porous media properties (e.g., permeability modelled as rando... Read More about Probability density function (PDF) models for particle transport in porous media.

Numerical simulation of droplet impact on wettability-patterned surfaces (2020)
Journal Article
Russo, A., Icardi, M., Elsharkawy, M., Ceglia, D., Asinari, P., & Megaridis, C. M. (2020). Numerical simulation of droplet impact on wettability-patterned surfaces. Physical Review Fluids, 5(7), Article 074002. https://doi.org/10.1103/PhysRevFluids.5.074002

© 2020 American Physical Society. Numerical simulations have unexplored potential in the study of droplet impact on nonuniform wettability surfaces. In this paper, we compare numerical and experimental results to investigate the application potentia... Read More about Numerical simulation of droplet impact on wettability-patterned surfaces.

Residual alignment and its effect on weld strength in material-extrusion 3D-printing of polylactic acid (2020)
Journal Article
Costanzo, A., Spotorno, R., Candal, M. V., Fernández, M. M., Müller, A. J., Graham, R. S., …McIlroy, C. (2020). Residual alignment and its effect on weld strength in material-extrusion 3D-printing of polylactic acid. Additive Manufacturing, 36, Article 101415. https://doi.org/10.1016/j.addma.2020.101415

© 2020 Elsevier B.V. Gaining a molecular understanding of material extrusion (MatEx) 3D printing is crucial to predicting and controlling part properties. Here we report the direct observation of distinct birefringence localised to the weld regions b... Read More about Residual alignment and its effect on weld strength in material-extrusion 3D-printing of polylactic acid.

Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects (2020)
Journal Article
Fadai, N. T., & Simpson, M. J. (2020). Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects. Bulletin of Mathematical Biology, 82(6), Article 74. https://doi.org/10.1007/s11538-020-00756-5

The Allee effect describes populations that deviate from logistic growth models and arises in applications including ecology and cell biology. A common justification for incorporating Allee effects into population models is that the population in que... Read More about Population Dynamics with Threshold Effects Give Rise to a Diverse Family of Allee Effects.

Eliminating Gibbs phenomena: A non-linear Petrov–Galerkin method for the convection–diffusion–reaction equation (2020)
Journal Article
Houston, P., Roggendorf, S., & van der Zee, K. G. (2020). Eliminating Gibbs phenomena: A non-linear Petrov–Galerkin method for the convection–diffusion–reaction equation. Computers and Mathematics with Applications, 80(5), 851-873. https://doi.org/10.1016/j.camwa.2020.03.025

In this article we consider the numerical approximation of the convection-diffusion-reaction equation. One of the main challenges of designing a numerical method for this problem is that boundary layers occurring in the convection-dominated case can... Read More about Eliminating Gibbs phenomena: A non-linear Petrov–Galerkin method for the convection–diffusion–reaction equation.