Zobrazeno 1 - 10
of 126
pro vyhledávání: '"Rucklidge, Alastair"'
Publikováno v:
J. R. Soc. Interface 20, 20230393 (2023)
There is a pressing need to better understand how microbial populations respond to antimicrobial drugs, and to find mechanisms to possibly eradicate antimicrobial-resistant cells. The inactivation of antimicrobials by resistant microbes can often be
Externí odkaz:
http://arxiv.org/abs/2307.06326
Publikováno v:
New J. Phys 25, 123010 (2023)
Microbial populations generally evolve in volatile environments, under conditions fluctuating between harsh and mild, e.g. as the result of sudden changes in toxin concentration or nutrient abundance. Environmental variability thus shapes the long-ti
Externí odkaz:
http://arxiv.org/abs/2307.06314
Publikováno v:
Macromolecules 2023, 56, 7847-7859
Quasicrystals (materials with long range order but without the usual spatial periodicity of crystals) were discovered in several soft matter systems in the last twenty years. The stability of quasicrystals has been attributed to the presence of two p
Externí odkaz:
http://arxiv.org/abs/2304.14194
Publikováno v:
Phys. Rev. E 106, 044602 (2022)
Aperiodic (quasicrystalline) tilings, such as Penrose's tiling, can be built up from e.g. kites and darts, squares and equilateral triangles, rhombi or shield shaped tiles and can have a variety of different symmetries. However, almost all quasicryst
Externí odkaz:
http://arxiv.org/abs/2208.02139
Publikováno v:
J. Stat. Mech. 013402:1-28 (2022)
We investigate the long-time properties of a dynamic, out-of-equilibrium network of individuals holding one of two opinions in a population consisting of two communities of different sizes. Here, while the agents' opinions are fixed, they have a pref
Externí odkaz:
http://arxiv.org/abs/2107.13945
Publikováno v:
Phys. Rev. E 104, 044311 (2021)
We consider a dynamic network of individuals that may hold one of two different opinions in a two-party society. As a dynamical model, agents can endlessly create and delete links to satisfy a preferred degree, and the network is shaped by \emph{homo
Externí odkaz:
http://arxiv.org/abs/2106.15963
Publikováno v:
IMA Journal of Applied Mathematics (2021) 86, 1164-1180
Non-topological defects such as grain boundaries abound in pattern forming systems, arising from local variations of pattern properties such as amplitude, wavelength, orientation, etc. We introduce the idea of treating such non-topological defects as
Externí odkaz:
http://arxiv.org/abs/2011.08636
Publikováno v:
IMA Journal of Applied Mathematics (2021) 86, 944-983
In some pattern-forming systems, for some parameter values, patterns form with two wavelengths, while for other parameter values, there is only one wavelength. The transition between these can be organised by a codimension-three point at which the ma
Externí odkaz:
http://arxiv.org/abs/2011.01669
Stability of cycling behaviour near a heteroclinic network model of Rock-Paper-Scissors-Lizard-Spock
Publikováno v:
Nonlinearity (2022) 35 1702
The well-known game of Rock--Paper--Scissors can be used as a simple model of competition between three species. When modelled in continuous time using differential equations, the resulting system contains a heteroclinic cycle between the three equil
Externí odkaz:
http://arxiv.org/abs/2010.10666
Publikováno v:
Phys. Rev. Lett. 126, 218003 (2021)
The density distribution in solids is often represented as a sum of Gaussian peaks (or similar functions) centred on lattice sites or via a Fourier sum. Here, we argue that representing instead the $\mathit{logarithm}$ of the density distribution via
Externí odkaz:
http://arxiv.org/abs/2010.10191