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A wide variety of biological as well as non-biological processes and phenomena involving ion channels, binding, pH, folding/unfolding and effects of chain length are well represented by multiphasic profiles, a series of straight lines…

Biological Physics · Physics 2015-12-08 Per Nissen

Adaptive dynamical networks appear in various real-word systems. One of the simplest phenomenological models for investigating basic properties of adaptive networks is the system of coupled phase oscillators with adaptive couplings. In this…

Adaptation and Self-Organizing Systems · Physics 2019-11-11 Rico Berner , Jan Fialkowski , Dmitry Kasatkin , Vladimir Nekorkin , Serhiy Yanchuk , Eckehard Schöll

We study the dynamical properties of the ordered phases obtained in a coupled nonequilibrium system describing advection of two species of particles by a stochastically evolving landscape. The local dynamics of the landscape also gets…

Statistical Mechanics · Physics 2017-08-23 Shauri Chakraborty , Sakuntala Chatterjee , Mustansir Barma

We study the self-assembly of branching-chain networks and crystals in a binary colloidal system with tunable interactions. The particle positions are extracted from microscope images and order parameters are extracted by image processing…

Soft Condensed Matter · Physics 2022-07-19 Hauke Carstensen , Anne Krämer , Vassilios Kapaklis , Max Wolff

Cells or bacteria carrying cilia on their surface show many striking features : alignment of cilia in an array, two-phase asymmetric beating for each cilium, coordination between cilia and existence of metachronal waves with a constant…

Biological Physics · Physics 2009-11-11 Boris Guirao , Jean-François Joanny

Triadic closure describes the tendency for new friendships to form between individuals who already have friends in common. It has been argued heuristically that the triadic closure effect can lead to bistability in the formation of…

Social and Information Networks · Computer Science 2021-11-11 Stefano Di Giovacchino , Desmond J. Higham , Konstantinos C. Zygalakis

The properties of cyclic structures (toroidal oscillators) based on classical tripolar (colour) fields are discussed, in particular, of a cyclic structure formed of three colour-singlets spinning around a ring-closed axis. It is shown that…

General Physics · Physics 2007-05-23 V. N. Yershov

We investigate dynamics and bifurcations in a mathematical model that captures electrochemical experiments on arrays of microelectrodes. In isolation, each individual microelectrode is described by a one-dimensional unit with a bistable…

Adaptation and Self-Organizing Systems · Physics 2021-12-08 Munir Salman , Christian Bick , Katharina Krischer

At sufficiently low temperatures and high densities, repulsive spherical particles in two-dimensions (2d) form close-packed structures with six-fold symmetry. By contrast, when the interparticle interaction has an attractive anisotropic…

Soft Condensed Matter · Physics 2018-09-13 T. Geigenfeind , C. S. Dias , M. M. Telo da Gama , D. de las Heras , N. A. M. Araújo

We introduce the notion of doubly rooted plane trees and give a decomposition of these trees, called the butterfly decomposition which turns out to have many applications. From the butterfly decomposition we obtain a one-to-one…

Combinatorics · Mathematics 2007-05-23 William Y. C. Chen , Nelson Y. Li , Louis W. Shapiro

The last decade has seen a marked shift in how the internal structure of hadrons is understood. Modern experimental facilities, new theoretical techniques for the continuum bound-state problem and progress with lattice-regularised QCD have…

The statistical properties of ensemble of disordered 1D steric spin-chains (SSC) of various length are investigated. Using 1D spin-glass type classical Hamiltonian, the recurrent trigonometrical equations for stationary points and…

Disordered Systems and Neural Networks · Physics 2010-10-11 Ashot Gevorkyan , Hakob Abajyan , Haik Sukiasyan

In a smooth dynamical system, a homoclinic connection is a closed orbit returning to a saddle equilibrium. Under perturbation, homoclinics are associated with bifurcations of periodic orbits, and with chaos in higher dimensions. Homoclinic…

Dynamical Systems · Mathematics 2017-01-23 Kamila da Silva Andrade , Mike R. Jeffrey , Ricardo M. Martins , Marco A. Teixeira

We report on surface wave pattern formation in a Faraday experiment operated at a very shallow filling level, where modes with a subharmonic and harmonic time dependence interact. Associated with this distinct temporal behavior are…

patt-sol · Physics 2009-10-31 C. Wagner , H. W. Mueller , K. Knorr

Eutectic dendrites forming in a model ternary system have been studied using the phase-field theory. The eutectic and one-phase dendrites have similar forms, and the tip radius scales with the interface free energy as for one-phase…

Materials Science · Physics 2013-03-22 Tamás Pusztai , László Rátkai , Attila Szállás , László Gránásy

Previous work has shown that time-reversal symmetric Weyl semimetals with a quadrupolar arrangement of first-order Weyl nodes exhibit a mixed crystalline-electromagnetic response. For systems with higher order Weyl nodes, which are attached…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Mark R. Hirsbrunner , Alexander D. Gray , Taylor L. Hughes

This paper deals with a concept for a reconfigurable structure bio-inspired by the cell wall architecture of euglenids, a family of unicellular protists, and based on the relative sliding of adjacent strips. Uniform sliding turns a cylinder…

Soft Condensed Matter · Physics 2020-05-26 Giovanni Noselli , Marino Arroyo , Antonio DeSimone

Collective organisation of patterns into ring-like configurations has been well-studied when patterns are subject to either weak or semi-strong interactions. However, little is known numerically or analytically about their formation when…

Dynamical Systems · Mathematics 2024-03-06 Dan J. Hill , Jason J. Bramburger , David J. B. Lloyd

In this paper we report a theoretical study of the static dipole polarizability of two one-dimensional structures: (a) linear carbon chains C$_{n} (n=2-10)$ and (b) ladder-like planar boron chains B$_{n} (n=4-14)$. The polarizabilities of…

Condensed Matter · Physics 2009-11-07 Ayjamal Abdurahman , Alok Shukla , Gotthard Seifert

Motivated by the idea of using simple macroscopic examples to illustrate the physics of complex systems, we modify a historic experimental setup in which interacting floating magnets spontaneously self-assemble into ordered clusters. By…

Soft Condensed Matter · Physics 2024-12-20 P. D. S. de Lima , A. Lyons , A. Irannezhad , J. M. de Araújo , S. Hutzler , M. S. Ferreira