2,470 research outputs found

    The resistance of randomly grown trees

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    Copyright @ 2011 IOP Publishing Ltd. This is a preprint version of the published article which can be accessed from the link below.An electrical network with the structure of a random tree is considered: starting from a root vertex, in one iteration each leaf (a vertex with zero or one adjacent edges) of the tree is extended by either a single edge with probability p or two edges with probability 1 − p. With each edge having a resistance equal to 1 omega, the total resistance Rn between the root vertex and a busbar connecting all the vertices at the nth level is considered. A dynamical system is presented which approximates Rn, it is shown that the mean value (Rn) for this system approaches (1 + p)/(1 − p) as n → ∞, the distribution of Rn at large n is also examined. Additionally, a random sequence construction akin to a random Fibonacci sequence is used to approximate Rn; this sequence is shown to be related to the Legendre polynomials and its mean is shown to converge with |(Rn) − (1 + p)/(1 − p)| ∼ n−1/2.Engineering and Physical Sciences Research Council (EPSRC

    Analysis of United Kingdom Off-Highway Construction Machinery Market and Its Consumers Using New-Sales Data

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    The off-highway construction machinery market and its consumers have attracted minimal previous research. This study addresses that void by analyzing annual United Kingdom (UK) (volume/portfolio) new-sales data for the 10 most popular products within that market, 1990–2010 inclusive. Graphical, descriptive statistical, Pearson-correlational, autocorrelational, and elementary modeling are employed to identify contrasts in sales regarding (1) high- and low-volume items; (2) growth trends and significant recessionary effects on volumes; (3) a demand change point circa 1997, since when annual product portfolio has changed little; and (4) product associations in consumer demand. Significant association is demonstrated between demand and construction output, especially with the value of new housing. Subsequently, consumption of wheeled loaders is modeled using construction volume, and demand for mini and crawler excavators is modeled using new-housing data. Time series trends for these machinery types are presented and forecast through 2015. The primary contribution of this study is a deeper understanding of the UK new-machinery market and the predilections of its consumers over the last two decades (to present)

    Promotion of cooperation induced by nonlinear attractive effect in spatial Prisoner's Dilemma game

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    We introduce nonlinear attractive effects into a spatial Prisoner's Dilemma game where the players located on a square lattice can either cooperate with their nearest neighbors or defect. In every generation, each player updates its strategy by firstly choosing one of the neighbors with a probability proportional to Aα\mathcal{A}^\alpha denoting the attractiveness of the neighbor, where A\mathcal{A} is the payoff collected by it and α\alpha (\geq0) is a free parameter characterizing the extent of the nonlinear effect; and then adopting its strategy with a probability dependent on their payoff difference. Using Monte Carlo simulations, we investigate the density ρC\rho_C of cooperators in the stationary state for different values of α\alpha. It is shown that the introduction of such attractive effect remarkably promotes the emergence and persistence of cooperation over a wide range of the temptation to defect. In particular, for large values of α\alpha, i.e., strong nonlinear attractive effects, the system exhibits two absorbing states (all cooperators or all defectors) separated by an active state (coexistence of cooperators and defectors) when varying the temptation to defect. In the critical region where ρC\rho_C goes to zero, the extinction behavior is power law-like ρC\rho_C \sim (bcb)β(b_c-b)^{\beta}, where the exponent β\beta accords approximatively with the critical exponent (β0.584\beta\approx0.584) of the two-dimensional directed percolation and depends weakly on the value of α\alpha.Comment: 7 pages, 4 figure

    A REVIEW OF MECHANOCALORIC REFRIGERATION DEVICES FROM 2012 TO 2020

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    Solid-State room temperature refrigeration devices have been reported extensively in the last decades with a focus on magnetocaloric effect materials, a thermal response to an applied magnetic field in a solid refrigerant. Currently, the limitations to generate large magnetic fields needed for better efficiencies have posed a challenge to rival current standard vapor compression cycles. Conventional refrigerants in standard vapor cycles are expected to contribute to global warming close to 25000 kgCO2,eq over the next 100 years. The need to overcome such challenges has driven a search for alternative i-caloric effects such as electrocaloric which is the thermal response of the material to the application of an electric field and mechanocaloric, a thermal response to the application of a stress field. Recently, the latter effect is being reported and categorized by the type of stress field applied. They are named elastocaloric for uniaxial stress, barocaloric for isostatic stress, and torsiocaloric for pure shear. Due to its simple stress, elastocaloric regenerators with shape memory alloys (SMA) were reported first. With a design similar to shell-tube heat exchanger with SMA being the shell and tubes while the heat transfer fluids (HTF) flows within the tubes. Promising thermodynamic cycle parameters such as coefficient of performance COP 11.0 with a temperature span of 24.6 K subject to a strain of 4.5% have been achieved with this design. Another device was reported working in a continuous non-regenerative manner with steady state being reached within seconds presented COP of 9.5 and a heat load of 250 W for a temperature span of 10K. As for barocaloric materials some researchers announced that are currently developing devices with these phenomena. Its main challenge is to elaborate a design that allows cyclic isostatic stress application, usually achieved by encapsulating the barocaloric material. One research group presented a study on a simulated active barocaloric regenerator on metal alloys and Acetoxy Silicone Rubber (ASR). The most recent mechanocaloric effect is the torsiocaloric. Two devices for measuring the torsiocaloric effect where presented, one in a batch form and another setup similar to a heat exchanger shell-tube where the tube is the solid-state refrigerant that can be twisted while in direct contact with the HTF flowing on the shell side. Thus, we aim to provide an in-depth analysis of recent studies of mechanocaloric devices describing their working cycles, thermodynamic parameters, HTF circuits and comparing their design choices, and forecast the design of near future mechanocaloric solid-state devices

    Ras-mediated phosphorylation of a conserved threonine residue enhances the transactivation activities of c-Ets1 and c-Ets2

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    The Ras oncogene products regulate the expression of genes in transformed cells, and members of the Ets family of transcription factors have been implicated in this process. To determine which Ets factors are the targets of Ras signaling pathways, the abilities of several Ets factors to activate Ras-responsive enhancer (RRE) reporters in the presence of oncogenic Ras were examined. In transient transfection assay, reporters containing RREs composed of Ets-AP-1 binding sites could be activated 30-fold in NIH 3T3 fibroblasts and 80-fold in the macrophage-like line RAW264 by the combination of Ets1 or Ets2 and Ras but not by several other Ets factors that were tested in the assay. Ets2 and Ras also superactivated an RRE composed of Ets-Ets binding sites, but the Ets-responsive promoter of the c-fms gene was not superactivated. Mutation of a threonine residue to alanine in the conserved amino-terminal regions of Ets1 and Ets2 (threonine 38 and threonine 72, respectively) abrogated the ability of each of these proteins to superactivate reporter gene expression. Phosphoamino acid analysis of radiolabeled Ets2 revealed that Ras induced normally absent threonine-specific phosphorylation of the protein. The Ras-dependent increase in threonine phosphorylation was not observed in Ets2 proteins that had the conserved threonine 72 residue mutated to alanine or serine. These data indicate that Ets1 and Ets2 are specific nuclear targets of Ras signaling events and that phosphorylation of a conserved threonine residue is a necessary molecular component of Ras-mediated activation of these transcription factors

    Modelling Esker Formation on Mars

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    International audience<p><strong>Introduction:</strong>  Eskers are sinuous sedimentary ridges that are widespread across formerly glaciated landscapes on Earth. They form when sediment in subglacial tunnels is deposited by meltwater. Some sinuous ridges on Mars have been identified as eskers; whilst some are thought to have formed early in Mars’ history beneath extensive ice sheets, smaller, younger systems associated with extant glaciers in Mars’ mid latitudes have also been identified. Elevated geothermal heating and formation during periods with more extensive glaciation have been suggested as possible prerequisites for recent Martian esker deposition.</p><p>Here, we adapt a model of esker formation with g and other constants altered to Martian values, using it initially to investigate the impact of Martian conditions on subglacial tunnel systems, before investigating the effect of varying water discharge on esker deposition.</p><p><strong>Methods:</strong> To investigate the effect of these values on the operation of subglacial tunnel systems we first conduct a series of model experiments with steady water discharge, varying the assumed liquid density (r<sub>w</sub>) from 1000 kgm<sup>-3</sup> to 1980 kgm<sup>-3</sup> (the density of saturated perchlorate brine) and ice hardness (A) from 2.4x10<sup>-24</sup> Pa<sup>-3</sup>s<sup>-1</sup> to 5x10<sup>-27</sup> Pa<sup>-3</sup>s<sup>-1</sup> (a temperature range of 0°C to -50°C). We then investigate the impact of variable water discharge on esker formation to simulate very simply a possible release of meltwater from an assumed geothermal event beneath a Martian glacier or ice cap.</p><p><strong>Results and Discussion:</strong>  A key aspect of model behaviour is the decrease in sediment carrying capacity towards the ice margin due to increased tunnel size as ice thins. Our results suggest that Martian parameters emphasise this effect, making deposition more likely over a greater length of the conduit. Lower gravity has the largest impact; it reduces the modeled closure rate of subglacial tunnels markedly as this varies with overburden stress (and hence g) cubed. Frictional heating from flowing water also drops, but much less sensitively. Thus, for a given discharge, the tunnels tend to be larger, leading to lower water pressure and a reduction in flow power. This effect is amplified for harder ice. Higher inferred fluid density raises the flow power, but by a smaller amount.</p><p>These effects are clearly seen in the variable discharge experiments. Sediment is deposited on the falling limb of the hydrograph, when the tunnels are larger than the equivalent steady-state water discharge would produce. Sediment deposition occurs much further upglacier from the glacier snout, and occurs earlier on the falling limb leading to longer periods in which deposition occurs.</p><p><strong>Conclusions:</strong> Our results suggest that esker formation within a subglacial meltwater tunnel would be more likely on Mars than Earth, primarily because subglacial tunnels tend to be larger for equivalent water discharges, with consequent lower water flow velocities. This allows sediment deposition over longer lengths of tunnel, and to greater depths, than for terrestrial systems. Future work will use measured bed topography of a mid-latitude esker to assess the impact of topography on deposition patterns and esker morphology, and we will expand the range of discharges and sediment supply regimes investigated.</p&gt

    Phase transitions and volunteering in spatial public goods games

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    Cooperative behavior among unrelated individuals in human and animal societies represents a most intriguing puzzle to scientists in various disciplines. Here we present a simple yet effective mechanism promoting cooperation under full anonymity by allowing for voluntary participation in public goods games. This natural extension leads to rock--scissors--paper type cyclic dominance of the three strategies cooperate, defect and loner i.e. those unwilling to participate in the public enterprise. In spatial settings with players arranged on a regular lattice this results in interesting dynamical properties and intriguing spatio-temporal patterns. In particular, variations of the value of the public good leads to transitions between one-, two- and three-strategy states which are either in the class of directed percolation or show interesting analogies to Ising-type models. Although volunteering is incapable of stabilizing cooperation, it efficiently prevents successful spreading of selfish behavior and enables cooperators to persist at substantial levels.Comment: 4 pages, 5 figure

    Travelling and sticky affects: : Exploring teens and sexualized cyberbullying through a Butlerian-Deleuzian- Guattarian lens

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    In this paper we combine the thinking of Deleuze and Guattari (1984, 1987) with Judith Butler’s (1990, 1993, 2004, 2009) work to follow the rhizomatic becomings of young people’s affective relations in a range of on- and off-line school spaces. In particular we explore how events that may be designated as sexual cyberbullying are constituted and how they are mediated by technology (such as texting or in/through social networking sites). Drawing on findings from two different studies looking at teens’ uses of and experiences with social networking sites, Arto in Denmark, and Bebo in the UK, we use this approach to think about how affects flow, are distributed, and become fixed in assemblages. We map how affects are manoeuvred and potentially disrupted by young people, suggesting that in the incidences discussed affects travel as well as stick in points of fixation. We argue that we need to grasp both affective flow and fixity in order to gain knowledge of how subjectification of the gendered/classed/racialised/sexualised body emerges. A Butlerian-Deleuzian-Guattarian frame helps us to map some of these affective complexities that shape sexualized cyberbully events; and to recognize technologically mediated lines of flight when subjectifications are at least temporarily disrupted and new terms of recognition and intelligibility staked out. Keywords
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