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    Pattern Formation in a Spatially Extended Model of Pacemaker Dynamics in Smooth Muscle Cells.
    (Springer Nature Switzerland AG on behalf of the Society for Mathematical Biology, 2022-07-08) Fatoyinbo HO; Brown RG; Simpson DJW; van Brunt B
    Spatiotemporal patterns are common in biological systems. For electrically coupled cells, previous studies of pattern formation have mainly used applied current as the primary bifurcation parameter. The purpose of this paper is to show that applied current is not needed to generate spatiotemporal patterns for smooth muscle cells. The patterns can be generated solely by external mechanical stimulation (transmural pressure). To do this we study a reaction-diffusion system involving the Morris-Lecar equations and observe a wide range of spatiotemporal patterns for different values of the model parameters. Some aspects of these patterns are explained via a bifurcation analysis of the system without coupling - in particular Type I and Type II excitability both occur. We show the patterns are not due to a Turing instability and that the spatially extended model exhibits spatiotemporal chaos. We also use travelling wave coordinates to analyse travelling waves.
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    Detangling flat bands into Fano lattices
    (EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY, 1/02/2014) Flach S; Leykam D; Bodyfelt JD; Matthies P; Desyatnikov AS
    Macroscopically degenerate flat bands (FB) in periodic lattices host compact localized states which appear due to destructive interference and local symmetry. Interference provides a deep connection between the existence of flat band states (FBS) and the appearance of Fano resonances for wave propagation. We introduce generic transformations detangling FBS and dispersive states into lattices of Fano defects. Inverting the transformation, we generate a continuum of FB models. Our procedure allows us to systematically treat perturbations such as disorder and explain the emergence of energy-dependent localization length scaling in terms of Fano resonances. © Copyright EPLA, 2014.
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    The crossover from strong to weak chaos for nonlinear waves in disordered systems
    (EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY, 1/08/2010) Laptyeva TV; Bodyfelt JD; Krimer DO; Skokos C; Flach S
    We observe a crossover from strong to weak chaos in the spatiotemporal evolution of multiple-site excitations within disordered chains with cubic nonlinearity. Recent studies have shown that Anderson localization is destroyed, and the wave packet spreading is characterized by an asymptotic divergence of the second moment m2 in time (as t1/3), due to weak chaos. In the present paper, we observe the existence of a qualitatively new dynamical regime of strong chaos, in which the second moment spreads even faster (as t1/2), with a crossover to the asymptotic law of weak chaos at larger times. We analyze the pecularities of these spreading regimes and perform extensive numerical simulations over large times with ensemble averaging. A technique of local derivatives on logarithmic scales is developed in order to quantitatively visualize the slow crossover processes. Copyright © 2010 EPLA.
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    Engineering fidelity echoes in Bose-Hubbard Hamiltonians
    (1/06/2007) Bodyfelt JD; Hiller M; Kottos T
    We analyze the fidelity decay for a system of interacting bosons described by a Bose-Hubbard Hamiltonian. We find echoes associated with "non-universal" structures that dominate the energy landscape of the perturbation operator. Despite their classical origin, these echoes persist deep into the quantum (perturbative) regime and can be described by an improved random matrix modeling. In the opposite limit of strong perturbations (and high enough energies), classical considerations reveal the importance of self-trapping phenomena in the echo efficiency. © Europhysics Letters Association.
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    Who is most likely to offend in my store now? Statistical steps towards retail crime prevention with Auror
    (Australian Mathematical Society, 14/08/2017) McDonald BW; Hall L; Zhang XP
    Auror is establishing itself both locally and internationally as a leader in retail crime solutions. In mid-2015 a study group of mathematicians and statisticians teamed up with Auror to analyse data from the first two and a half years of their venture to identify and prevent retail theft. The aim was to explore methods for nominating the top ten individuals most likely to offend in a particular store at a particular time. Various methods were employed to explore the relationships between retail crime incidents, including generalised linear models, regression trees and similarity matrices. The relationships identified were then used to inform predictions on individuals most likely to reoffend. The focus of the current analysis is to model the behaviour of reoffenders. At the time of the study group the project was still in the early phases of data collection. As data collection proceeds, prediction methods will likely give better and better intelligence to aid crime prevention efforts.
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    Interactions destroy dynamical localization with strong and weak chaos
    (EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY, 1/11/2011) Gligorić G; Bodyfelt JD; Flach S
    Bose-Einstein condensates loaded into kicked optical lattices can be treated as quantum kicked-rotor systems. Noninteracting rotors show dynamical localization in momentum space. The experimentally tunable condensate interaction is included in a qualitative Gross-Pitaevskii-type model based on two-body interactions. We observe strong- and weak-chaos regimes of wave packet spreading in momentum space. In the intermediate strong-chaos regime the condensate energy grows as t1/2. In the asymptotic weak-chaos case the growth crosses over into a t1/3 law. The results do not depend on the details of the kicking. © Europhysics Letters Association.
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    Influence of boundary conditions on quantum escape
    (1/10/2012) Georgiou O; Gligorić G; Lazarides A; Oliveira DFM; Bodyfelt JD; Goussev A
    It has recently been established that quantum statistics can play a crucial role in quantum escape. Here we demonstrate that boundary conditions can be equally important - moreover, in certain cases, may lead to a complete suppression of the escape. Our results are exact and hold for arbitrarily many particles. © Copyright EPLA, 2012.
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    Critical Fidelity at the Metal-Insulator Transition
    (2006) Bodyfelt JD; Ng G; Kottos T
    Using a Wigner Lorentzian random matrix ensemble, we study the fidelity, F(t), of systems at the Anderson metal-insulator transition, subject to small perturbations that preserve the criticality. We find that there are three decay regimes as perturbation strength increases: the first two are associated with a Gaussian and an exponential decay, respectively, and can be described using linear response theory. For stronger perturbations F(t) decays algebraically as F(t)∼t-D2μ, where D2μ is the correlation dimension of the local density of states
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    Transverse-momentum and pseudorapidity distributions of charged hadrons in pp collisions at square root of s = 7 TeV.
    (AMER PHYSICAL SOC, 9/07/2010) Khachatryan V; Sirunyan AM; Tumasyan A; Adam W; Bergauer T; Dragicevic M; Erö J; Fabjan C; Friedl M; Frühwirth R; Ghete VM; Hammer J; Hänsel S; Hoch M; Hörmann N; Hrubec J; Jeitler M; Kasieczka G; Kiesenhofer W; Krammer M; Liko D; Mikulec I; Pernicka M; Rohringer H; Schöfbeck R; Strauss J; Taurok A; Teischinger F; Waltenberger W; Walzel G; Widl E; Wulz C-E; Mossolov V; Shumeiko N; Suarez Gonzalez J; Benucci L; Ceard L; De Wolf EA; Hashemi M; Janssen X; Maes T; Mucibello L; Ochesanu S; Roland B; Rougny R; Selvaggi M; Van Haevermaet H; Van Mechelen P; Van Remortel N; Adler V; Beauceron S; Blyweert S; D'Hondt J; Devroede O; Kalogeropoulos A; Maes J; Maes M; Tavernier S; Van Doninck W; Van Mulders P; Villella I; Chabert EC; Charaf O; Clerbaux B; De Lentdecker G; Dero V; Gay APR; Hammad GH; Marage PE; Vander Velde C; Vanlaer P; Wickens J; Costantini S; Grunewald M; Klein B; Marinov A; Ryckbosch D; Thyssen F; Tytgat M; Vanelderen L; Verwilligen P; Walsh S; Zaganidis N; Basegmez S; Bruno G; Caudron J; De Favereau De Jeneret J; Delaere C; Demin P; Favart D; Giammanco A; Grégoire G; Hollar J; Lemaitre V; Militaru O; Ovyn S; Pagano D; Pin A; Piotrzkowski K; Quertenmont L; Schul N; Beliy N; Caebergs T; Daubie E; Alves GA; Pol ME; Souza MHG; Carvalho W; Da Costa EM; De Jesus Damiao D; De Oliveira Martins C; Fonseca De Souza S; Mundim L; Oguri V; Santoro A; Silva Do Amaral SM; Sznajder A; Torres Da Silva De Araujo F; Dias FA; Dias MAF; Fernandez Perez Tomei TR; Gregores EM; Marinho F; Novaes SF; Padula SS; Darmenov N; Dimitrov L; Genchev V; Iaydjiev P; Piperov S; Stoykova S; Sultanov G; Trayanov R; Vankov I; Dyulendarova M; Hadjiiska R; Kozhuharov V; Litov L; Marinova E; Mateev M; Pavlov B; Petkov P; Bian JG; Chen GM; Chen HS; Jiang CH; Liang D; Liang S; Wang J; Wang J; Wang X; Wang Z; Yang M; Zang J; Zhang Z; Ban Y; Guo S; Hu Z; Mao Y; Qian SJ; Teng H; Zhu B; Cabrera A; Carrillo Montoya CA; Gomez Moreno B; Ocampo Rios AA; Osorio Oliveros AF; Sanabria JC; Godinovic N; Lelas D; Lelas K; Plestina R; Polic D; Puljak I; Antunovic Z; Dzelalija M; Brigljevic V; Duric S; Kadija K; Morovic S; Attikis A; Fereos R; Galanti M; Mousa J; Nicolaou C; Papadakis A; Ptochos F; Razis PA; Rykaczewski H; Tsiakkouri D; Zinonos Z; Mahmoud M; Hektor A; Kadastik M; Kannike K; Müntel M; Raidal M; Rebane L; Azzolini V; Eerola P; Czellar S; Härkönen J; Heikkinen A; Karimäki V; Kinnunen R; Klem J; Kortelainen MJ; Lampén T; Lassila-Perini K; Lehti S; Lindén T; Luukka P; Mäenpää T; Tuominen E; Tuominiemi J; Tuovinen E; Ungaro D; Wendland L; Banzuzi K; Korpela A; Tuuva T; Sillou D; Besancon M; Dejardin M; Denegri D; Descamps J; Fabbro B; Faure JL; Ferri F; Ganjour S; Gentit FX; Givernaud A; Gras P; Hamel de Monchenault G; Jarry P; Locci E; Malcles J; Marionneau M; Millischer L; Rander J; Rosowsky A; Rousseau D; Titov M; Verrecchia P; Baffioni S; Bianchini L; Bluj M; Broutin C; Busson P; Charlot C; Dobrzynski L; Elgammal S; Granier de Cassagnac R; Haguenauer M; Kalinowski A; Miné P; Paganini P; Sabes D; Sirois Y; Thiebaux C; Zabi A; Agram J-L; Besson A; Bloch D; Bodin D; Brom J-M; Cardaci M; Conte E; Drouhin F; Ferro C; Fontaine J-C; Gelé D; Goerlach U; Greder S; Juillot P; Karim M; Le Bihan A-C; Mikami Y; Speck J; Van Hove P; Fassi F; Mercier D; Baty C; Beaupere N; Bedjidian M; Bondu O; Boudoul G; Boumediene D; Brun H; Chanon N; Chierici R; Contardo D; Depasse P; El Mamouni H; Fay J; Gascon S; Ille B; Kurca T; Le Grand T; Lethuillier M; Mirabito L; Perries S; Tosi S; Tschudi Y; Verdier P; Xiao H; Roinishvili V; Anagnostou G; Edelhoff M; Feld L; Heracleous N; Hindrichs O; Jussen R; Klein K; Merz J; Mohr N; Ostapchuk A; Perieanu A; Raupach F; Sammet J; Schael S; Sprenger D; Weber H; Weber M; Wittmer B; Actis O; Ata M; Bender W; Biallass P; Erdmann M; Frangenheim J; Hebbeker T; Hinzmann A; Hoepfner K; Hof C; Kirsch M; Klimkovich T; Kreuzer P; Lanske D; Magass C; Merschmeyer M; Meyer A; Papacz P; Pieta H; Reithler H; Schmitz SA; Sonnenschein L; Sowa M; Steggemann J; 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Bunin P; Finger M; Finger M; Golutvin I; Kamenev A; Karjavin V; Kozlov G; Lanev A; Moisenz P; Palichik V; Perelygin V; Shmatov S; Smirnov V; Volodko A; Zarubin A; Bondar N; Golovtsov V; Ivanov Y; Kim V; Levchenko P; Smirnov I; Sulimov V; Uvarov L; Vavilov S; Vorobyev A; Andreev Y; Gninenko S; Golubev N; Kirsanov M; Krasnikov N; Matveev V; Pashenkov A; Toropin A; Troitsky S; Epshteyn V; Gavrilov V; Ilina N; Kaftanov V; Kossov M; Krokhotin A; Kuleshov S; Oulianov A; Safronov G; Semenov S; Shreyber I; Stolin V; Vlasov E; Zhokin A; Boos E; Dubinin M; Dudko L; Ershov A; Gribushin A; Kodolova O; Lokhtin I; Obraztsov S; Petrushanko S; Sarycheva L; Savrin V; Snigirev A; Andreev V; Dremin I; Kirakosyan M; Rusakov SV; Vinogradov A; Azhgirey I; Bitioukov S; Datsko K; Grishin V; Kachanov V; Konstantinov D; Krychkine V; Petrov V; Ryutin R; Slabospitsky S; Sobol A; Sytine A; Tourtchanovitch L; Troshin S; Tyurin N; Uzunian A; Volkov A; Adzic P; Djordjevic M; Krpic D; Maletic D; Milosevic J; Puzovic J; 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CMS Collaboration
    Charged-hadron transverse-momentum and pseudorapidity distributions in proton-proton collisions at square root of s = 7  TeV are measured with the inner tracking system of the CMS detector at the LHC. The charged-hadron yield is obtained by counting the number of reconstructed hits, hit pairs, and fully reconstructed charged-particle tracks. The combination of the three methods gives a charged-particle multiplicity per unit of pseudorapidity dN(ch)/dη|(|η|<0.5) = 5.78 ± 0.01(stat) ± 0.23(syst) for non-single-diffractive events, higher than predicted by commonly used models. The relative increase in charged-particle multiplicity from square root of s = 0.9 to 7 TeV is [66.1 ± 1.0(stat) ± 4.2(syst)]%. The mean transverse momentum is measured to be 0.545 ± 0.005(stat) ± 0.015(syst)  GeV/c. The results are compared with similar measurements at lower energies.
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    Probing localization in absorbing systems via Loschmidt echos.
    (26/06/2009) Bodyfelt JD; Zheng MC; Kottos T; Kuhl U; Stöckmann H-J
    We measure Anderson localization in quasi-one-dimensional waveguides in the presence of absorption by analyzing the echo dynamics due to small perturbations. We specifically show that the inverse participation number of localized modes dictates the decay of the Loschmidt echo, differing from the Gaussian decay expected for diffusive or chaotic systems. Our theory, based on a random matrix modeling, agrees perfectly with scattering echo measurements on a quasi-one-dimensional microwave cavity filled with randomly distributed scatterers.