Skip to main content

Research Repository

Advanced Search

All Outputs (100)

Travelling waves in models of neural tissue: from localised structures to periodic waves (2014)
Journal Article
Meijer, H., & Coombes, S. (2014). Travelling waves in models of neural tissue: from localised structures to periodic waves. EPJ Nonlinear Biomedical Physics, 2(3), https://doi.org/10.1140/epjnbp16

We consider travelling waves (fronts, pulses and periodics) in spatially extended one dimensional neural field models. We demonstrate for an excitatory field with linear adaptation that, in addition to an expected stable pulse solution, a stable anti... Read More about Travelling waves in models of neural tissue: from localised structures to periodic waves.

Quantized Abelian principal connections on Lorentzian manifolds (2014)
Journal Article
Benini, M., Dappiaggi, C., & Schenkel, A. (2014). Quantized Abelian principal connections on Lorentzian manifolds. Communications in Mathematical Physics, 330(1), 123–152. https://doi.org/10.1007/s00220-014-1917-0

We construct a covariant functor from a category of Abelian principal bundles over globally hyperbolic spacetimes to a category of *-algebras that describes quantized principal connections. We work within an appropriate differential geometric setting... Read More about Quantized Abelian principal connections on Lorentzian manifolds.

Quantum search on graphene lattices (2014)
Journal Article
Foulger, I., Gnutzmann, S., & Tanner, G. (2014). Quantum search on graphene lattices. Physical Review Letters, 112, Article 070504. https://doi.org/10.1103/PhysRevLett.112.070504

We present a continuous-time quantum search algorithm on a graphene lattice. This provides the sought- after implementation of an efficient continuous-time quantum search on a two-dimensional lattice. The search uses the linearity of the dispersion r... Read More about Quantum search on graphene lattices.

A classification of the symmetries of uniform discrete defective crystals (2014)
Journal Article
Nicks, R. (in press). A classification of the symmetries of uniform discrete defective crystals. Journal of Elasticity, 117(2), https://doi.org/10.1007/s10659-014-9470-9

Crystals which have a uniform distribution of defects are endowed with a Lie group description which allows one to construct an associated discrete structure. These structures are in fact the discrete subgroups of the ambient Lie group. The geometric... Read More about A classification of the symmetries of uniform discrete defective crystals.

Reducing space-time to binary information (2014)
Journal Article
Weinfurtner, S., De las Cuevas, G., Martin-Delgado, M. A., & Briegel, H. J. (2014). Reducing space-time to binary information. Journal of Physics A: Mathematical and Theoretical, 47(9), Article 095301. https://doi.org/10.1088/1751-8113/47/9/095301

We present a new description of discrete space-time in 1+1 dimensions in terms of a set of elementary geometrical units that represent its independent classical degrees of freedom. This is achieved by means of a binary encoding that is ergodic in the... Read More about Reducing space-time to binary information.

On the folded normal distribution (2014)
Journal Article
Tsagris, M., Beneki, C., & Hassani, H. (2014). On the folded normal distribution. Mathematics, 2(1), https://doi.org/10.3390/math2010012

The characteristic function of the folded normal distribution and its moment function are derived. The entropy of the folded normal distribution and the Kullback–Leibler from the normal and half normal distributions are approximated using Taylor seri... Read More about On the folded normal distribution.

Wave breaking in dense plumes (2014)
Journal Article
Holland, P. R., Hewitt, R. E., & Scase, M. M. (2014). Wave breaking in dense plumes. Journal of Physical Oceanography, 44(2), 790-800. https://doi.org/10.1175/jpo-d-13-0110.1

Sinking dense plumes are important in many oceanographic settings, notably the polar formation of deep and bottom waters. The dense water sources feeding such plumes are commonly affected by tidal modulation, leading to plume variability on short tim... Read More about Wave breaking in dense plumes.

Quantum-enhanced absorption refrigerators (2014)
Journal Article
Correa, L. A., Palao, J. P., Alonso, D., & Adesso, G. (in press). Quantum-enhanced absorption refrigerators. Scientific Reports, 4, Article 3949. https://doi.org/10.1038/srep03949

Thermodynamics is a branch of science blessed by an unparalleled combination of generality of scope and formal simplicity. Based on few natural assumptions together with the four laws, it sets the boundaries between possible and impossible in macrosc... Read More about Quantum-enhanced absorption refrigerators.

Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures (2014)
Journal Article
Chappell, D. J., Loechel, D., Sondergaard, N., & Tanner, G. (2014). Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures. Wave Motion, 51(4), https://doi.org/10.1016/j.wavemoti.2014.01.004

We present a new approach for modelling noise and vibration in complex mechanical structures in the mid-to-high frequency regime. It is based on a dynamical energy analysis (DEA) formulation which extends standard techniques such as statistical energ... Read More about Dynamical energy analysis on mesh grids: a new tool for describing the vibro-acoustic response of complex mechanical structures.

A 2D extension of a large time step explicit scheme (CFL>1) for unsteady problems with wet/dry boundaries (2014)
Journal Article
Morales-Hernandez, M., Hubbard, M. E., & Garcia-Navarro, P. (2014). A 2D extension of a large time step explicit scheme (CFL>1) for unsteady problems with wet/dry boundaries. Journal of Computational Physics, 263, https://doi.org/10.1016/j.jcp.2014.01.019

A 2D Large Time Step (LTS) explicit scheme on structured grids is presented in this work. It is first detailed and analysed for the 2D linear advection equation and then applied to the 2D shallow water equations. The dimensional splitting technique a... Read More about A 2D extension of a large time step explicit scheme (CFL>1) for unsteady problems with wet/dry boundaries.

Quantum benchmarks for pure single-mode Gaussian states (2014)
Journal Article
Chiribella, G., & Adesso, G. (2014). Quantum benchmarks for pure single-mode Gaussian states. Physical Review Letters, 112(1), https://doi.org/10.1103/PhysRevLett.112.010501

Teleportation and storage of continuous variable states of light and atoms are essential building blocks for the realization of large-scale quantum networks. Rigorous validation of these implementations require identifying, and surpassing, benchmarks... Read More about Quantum benchmarks for pure single-mode Gaussian states.

Theory of genuine tripartite nonlocality of Gaussian states (2014)
Journal Article
Adesso, G., & Piano, S. (2014). Theory of genuine tripartite nonlocality of Gaussian states. Physical Review Letters, 112(1), https://doi.org/10.1103/PhysRevLett.112.010401

We investigate the genuine multipartite nonlocality of three-mode Gaussian states of continuous variable systems. For pure states, we present a simplified procedure to obtain the maximum violation of the Svetlichny inequality based on displaced parit... Read More about Theory of genuine tripartite nonlocality of Gaussian states.

Localised auxin peaks in concentration-based transport models for plants (2014)
Journal Article
Draelants, D., Avitabile, D., & Vanroose, W. Localised auxin peaks in concentration-based transport models for plants. Manuscript submitted for publication

We study the existence and bifurcation structure of stationary localised auxin spots in concentration-based auxin-transport models posed on one- and two-dimensional networks of plant cells. In regular domains with small active transport coefficient a... Read More about Localised auxin peaks in concentration-based transport models for plants.

Continuation of localised coherent structures in nonlocal neural field equations (2014)
Journal Article
Rankin, J., Avitabile, D., Baladron, J., Faye, G., & Lloyd, D. J. (2014). Continuation of localised coherent structures in nonlocal neural field equations. SIAM Journal on Scientific Computing, 36(1), Article B70-B93. https://doi.org/10.1137/130918721

We study localised activity patterns in neural field equations posed on the Euclidean plane; such models are commonly used to describe the coarse-grained activity of large ensembles of cortical neurons in a spatially continuous way. We employ matrix-... Read More about Continuation of localised coherent structures in nonlocal neural field equations.

Two-grid hp-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows (2014)
Journal Article
Congreve, S., & Houston, P. (2014). Two-grid hp-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows. International Journal of Numerical Analysis and Modeling, 11(3),

In this article we consider the a priori and a posteriori error analysis of two-grid hp-version discontinuous Galerkin finite element methods for the numerical solution of a strongly monotone quasi-Newtonian fluid flow problem. The basis of the two-g... Read More about Two-grid hp-version discontinuous Galerkin finite element methods for quasi-Newtonian fluid flows.

On the long-time integration of stochastic gradient systems (2014)
Journal Article
Leimkuhler, B., Matthews, C., & Tretyakov, M. (2014). On the long-time integration of stochastic gradient systems. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470(2170), Article 20140120. https://doi.org/10.1098/rspa.2014.0120

This article addresses the weak convergence of numerical methods for Brownian dynamics. Typical analyses of numerical methods for stochastic differential equations focus on properties such as the weak order which estimates the asymptotic (stepsize... Read More about On the long-time integration of stochastic gradient systems.

Mean curvature, threshold dynamics, and phase field theory on finite graphs (2014)
Journal Article
van Gennip, Y., Guillen, N., Osting, B., & Bertozzi, A. L. (2014). Mean curvature, threshold dynamics, and phase field theory on finite graphs. Milan Journal of Mathematics, 82(1), https://doi.org/10.1007/s00032-014-0216-8

In the continuum, close connections exist between mean curvature flow, the Allen-Cahn (AC) partial differential equation, and the Merriman-Bence-Osher (MBO) threshold dynamics scheme. Graph analogues of these processes have recently seen a rise in po... Read More about Mean curvature, threshold dynamics, and phase field theory on finite graphs.