DSpace Collection:
https://dspace.lboro.ac.uk/2134/2484
2018-04-25T16:28:48Z
2018-04-25T16:28:48Z
Dynamics of end-pulled polymer translocation through a nanopore
Sarabadani, Jalal
Ghosh, Bappa
Chaudhury, Srabanti
Ala-Nissila, Tapio
https://dspace.lboro.ac.uk/2134/32659
2018-04-20T12:55:59Z
2018-01-01T00:00:00Z
Title: Dynamics of end-pulled polymer translocation through a nanopore
Authors: Sarabadani, Jalal; Ghosh, Bappa; Chaudhury, Srabanti; Ala-Nissila, Tapio
Abstract: © 2018 EPLA. We consider the translocation dynamics of a polymer chain forced through a nanopore by an external force on its head monomer on the trans side. For a proper theoretical treatment we generalize the iso-flux tension propagation (IFTP) theory to include friction arising from the trans side subchain. The theory reveals a complicated scenario of multiple scaling regimes depending on the configurations of the cis and the trans side subchains. In the limit of high driving forces f such that the trans subchain is strongly stretched, the theory is in excellent agreement with molecular dynamics simulations and allows an exact analytic solution for the scaling of the translocation time τ as a function of the chain length N 0 and f. In this regime the asymptotic scaling exponents for are , and . The theory reveals significant correction-to-scaling terms arising from the cis side subchain and pore friction, which lead to a very slow approach to from below as a function of increasing N 0 .
Description: this paper is in closed access until 30th Jan 2019. This paper was accepted for publication in the journal EPL (Europhysics Letters) and the definitive published version is available at https://doi.org/10.1209/0295-5075/120/38004
2018-01-01T00:00:00Z
Long-term evolution of electron distribution function due to nonlinear resonant interaction with whistler mode waves
Artemyev, A.V.
Neishtadt, Anatoly
Vasiliev, Alexei
Mourenas, D.
https://dspace.lboro.ac.uk/2134/32597
2018-04-16T13:59:19Z
2018-01-01T00:00:00Z
Title: Long-term evolution of electron distribution function due to nonlinear resonant interaction with whistler mode waves
Authors: Artemyev, A.V.; Neishtadt, Anatoly; Vasiliev, Alexei; Mourenas, D.
Abstract: Accurately modelling and forecasting of the dynamics of the Earth’s radiation belts with the available computer resources represents an important challenge that still requires significant advances in the theoretical plasma physics field of wave–particle resonant interaction. Energetic electron acceleration or scattering into the Earth’s atmosphere are essentially controlled by their resonances with electromagnetic whistler mode waves. The quasi-linear diffusion equation describes well this resonant interaction for low intensity waves. During the last decade, however, spacecraft observations in the radiation belts have revealed a large number of whistler mode waves with sufficiently high intensity to interact with electrons in the nonlinear regime. A kinetic equation including such nonlinear wave–particle interactions and describing the long-term evolution of the electron distribution is the focus of the present paper. Using the Hamiltonian theory of resonant phenomena, we describe individual electron resonance with an intense coherent whistler mode wave. The derived characteristics of such a resonance are incorporated into a generalized kinetic equation which includes non-local transport in energy space. This transport is produced by resonant electron trapping and nonlinear acceleration. We describe the methods allowing the construction of nonlinear resonant terms in the kinetic equation and discuss possible applications of this equation.
Description: This paper is closed access until 5 April 2019.
2018-01-01T00:00:00Z
Growth of values of binary quadratic forms and Conway rivers
Spalding, K.
Veselov, A.P.
https://dspace.lboro.ac.uk/2134/32483
2018-04-06T13:27:02Z
2018-01-01T00:00:00Z
Title: Growth of values of binary quadratic forms and Conway rivers
Authors: Spalding, K.; Veselov, A.P.
Abstract: We study the growth of the values of integer binary quadratic forms Q on a binary planar tree as it was described by Conway. We show that the corresponding Lyapunov exponents _Q(x) as a function of the path determined by x 2 RP1 are twice the values of the
corresponding exponents for the growth of Markov numbers [10], except for the paths corresponding to the Conway river, when _Q(x) = 0: The relation with the Galois result about pure periodic continued fractions is explained and interpreted geometrically.
Description: This paper is in closed access.
2018-01-01T00:00:00Z
Cognitive predictors of children’s development in mathematics achievement: a latent growth modeling approach
Xenidou-Dervou, Iro
Van Luit, Johannes E.H.
Kroesbergen, Evelyn H.
Friso-van den Bos, Ilona
Jonkman, Lisa M.
van der Schoot, Menno
van Lieshout, Ernest C.D.M.
https://dspace.lboro.ac.uk/2134/32339
2018-03-23T12:04:19Z
2018-01-01T00:00:00Z
Title: Cognitive predictors of children’s development in mathematics achievement: a latent growth modeling approach
Authors: Xenidou-Dervou, Iro; Van Luit, Johannes E.H.; Kroesbergen, Evelyn H.; Friso-van den Bos, Ilona; Jonkman, Lisa M.; van der Schoot, Menno; van Lieshout, Ernest C.D.M.
Abstract: Research has identified various domain-general and domain-specific cognitive abilities as predictors of children’s individual differences in mathematics achievement. However, research into the predictors of children’s individual growth rates, i.e., between-person differences in within-person change, in mathematics achievement is scarce. We assessed 334 children’s domain-general and mathematics-specific early cognitive abilities and their general mathematics achievement longitudinally across four time-points within the 1st and 2nd grade of primary school. As expected, a constellation of multiple cognitive abilities contributed to the children’s starting level of mathematical success. Specifically, latent growth modeling revealed that WM abilities, IQ, counting skills, nonsymbolic and symbolic approximate arithmetic and comparison skills explained individual differences in the children’s initial status on a curriculum-based general mathematics achievement test. Surprisingly, however, only one out of all the assessed cognitive abilities was a unique predictor of the children’s individual growth rates in mathematics achievement: their performance in the symbolic approximate addition task. In this task, children were asked to estimate the sum of two large numbers and decide if this estimated sum was smaller or larger compared to a third number. Our findings demonstrate the importance of multiple domain-general and mathematics-specific cognitive skills for identifying children at risk of struggling with mathematics and highlight the significance of early approximate arithmetic skills for the development of one’s mathematical success. We argue the need for more research focus on explaining children’s individual growth rates in mathematics achievement.
Description: Closed access until 12 months after publication
2018-01-01T00:00:00Z