16 research outputs found
The Relational Interpretations on soft matter as intermediate asymptoitcs
In this paper, it is demonstrated that there is a parallelism between the
relational interpretation of Rovelli and the interpretation of soft matter
based on intermediate asymptotics. The general interpretation of physics
strongly assumes the duality of the observer and the world, and the uniqueness
of the world though the relational interpretation suggested different
conclusions: {\ it no properties, no interaction}, and {\ it facts are
relative}. These conclusions are seemingly counterintuitive, though this work
shows that similar conclusions are found in the interpretation of soft matter
based on the concept of intermediate asymptotics. The interpretation of soft
matter based on intermediate asymptotics also concludes that the properties are
not determined without the scale. This is due to the conclusion of intermediate
asymptotics that any formalization and its interpretation are localized by the
scale. It is demonstrated that the similarity between the two interpretations
originated from its monism of relations. This logical structure is also
compared with the works in other disciplines. This work reports the insight
that the relational interpretation can be a general and fundamental concept,
not the one applicable to special cases.Comment: 20 pages, 2 figure
Defects of structure in one-dimensional trains of drops of alternating composition
International audienceMerging two periodic droplet trains at a T-junction, we investigate the production of one-dimensional (1D) trains of drops of alternating composition. The structure of these trains consists of a succession of well-defined patterns and defects. A discrete model recently introduced to describe the structure of double emulsions made with two-step microfluidic dripping techniques predicts the nature of these patterns and their scheme of arrangement in a train as functions of the rates at which the two droplet trains reach the junction. Millifluidic experiments validate these predictions
The New Method Using Shannon Entropy to Decide the Power Exponents on JMAK Equation
The JMAK (Johnson–Mehl–Avrami–Kolmogorov) equation is exponential equation inserted power-law behavior on the parameter, and is widely utilized to describe the relaxation process, the nucleation process, the deformation of materials and so on. Theoretically the power exponent is occasionally associated with the geometrical factor of the nucleus, which gives the integral power exponent. However, non-integral power exponents occasionally appear and they are sometimes considered as phenomenological in the experiment. On the other hand, the power exponent decides the distribution of step time when the equation is considered as the superposition of the step function. This work intends to extend the interpretation of the power exponent by the new method associating Shannon entropy of distribution of step time with the method of Lagrange multiplier in which cumulants or moments obtained from the distribution function are preserved. This method intends to decide the distribution of step time through the power exponent, in which certain statistical values are fixed. The Shannon entropy to which the second cumulant is introduced gives fractional power exponents that reveal the symmetrical distribution function that can be compared with the experimental results. Various power exponents in which another statistical value is fixed are discussed with physical interpretation. This work gives new insight into the JMAK function and the method of Shannon entropy in general
A framework of crossover of scaling law : dynamical impact of viscoelastic surface
In this paper, it was succeeded that a crossover of scaling laws is described
as continuos process and it emerges as a result of the interference from
self-similar variable of the higher class of the self-similarity on the
dynamical impact of solid sphere onto a viscoelastic surface. All the physical
factors including the size of spheres, the impact of velocity are successfully
summarized to the primal dimensionless numbers which construct a self-similar
solution of the second kind, which represents the balance between dynamics
involved in the problem. The self-similar solution gives two different scaling
laws by the perturbation method describing the crossover. These theoretical
predictions are compared with experimental results to show good agreement. It
was suggested that a hierarchical structure of similarity plays a fundamental
role on crossover, which offers a fundamental insight to self-similarity in
general.Comment: 16 pages, 5 Figures and 3 Supplemental Figure
Publisher Correction to: A framework for crossover of scaling law as a self-similar solution: dynamical impact of viscoelastic board
An Effective Strategy to Obtain Highly Porous Alumina Powders Having Robust and Designable Extra-Large Pores
Dataset for: Integrated trophic position as a proxy for food-web complexity
<div>
<p>There are two distinct approaches to describing the distributions of biomass and species in food webs: one to consider them as discrete trophic levels (TLs); and the other to consider them as continuous trophic positions (TPs). Bridging the gap between these two perspectives presents a non-trivial challenge in integrating biodiversity and food-web structure.</p>
<p>Food Network Unfolding (FNU) is a technique used to bridge this gap by partitioning the biomass of species into integer TLs to compute three complexity indices, namely vertical (<em>D</em><sub>V</sub>), horizontal (<em>D</em><sub>H</sub>), and range (<em>D</em><sub>R</sub>) diversity (<em>D</em> indices), through decomposition of Shannon's index <em>H'</em>. Using FNU, the food web (a network of species with unique TPs) is converted to a linear food chain (a biomass distribution at discrete TLs). This enables us to expect that the unfolded biomass within species decreases exponentially as the TL increases. Under this condition, the mean TL value in unfolded food chains is hypothesized to have an exponential relationship with the vertical diversity, <em>D</em><sub>V</sub>. To explore this, we implemented FNU and calculated <em>D</em> indices for food webs publicly available at EcoBase (<em>n</em> = 158) and calculated the integrated TP (iTP), defined as the biomass-weighted average TP of a given food web. The iTP corresponds to the mean TL in unfolded food chains and can be empirically measured through compound-specific isotope analysis of amino acids (CSIA-AA).</p>
<p>Although our analysis is biased towards marine ecosystems, we revealed an exponential relationship between iTP and <em>D</em><sub>V</sub>, suggesting that iTP can serve as a measurable proxy for <em>D</em><sub>V</sub>. Furthermore, we found a positive correlation between the iTP observed in the total communities (total iTP) and the iTPs of partial communities consisting only of species with 2.0 ≤ TP < 3.0 (partial iTP; <em>r<sup>2</sup></em> = 0.48), suggesting that <em>D</em><sub>V</sub> can be predicted using partial iTP.</p>
<p>Our findings suggest that the net effect of species diversity, excluding the effect of biomass (corresponding to <em>H'</em> − <em>D</em><sub>V</sub>), on food-web complexity can be revealed by combining CSIA-AA with biodiversity analysis (e.g., environmental DNA).</p>
</div><p>Funding provided by: Japan Society for the Promotion of Science<br>Crossref Funder Registry ID: https://ror.org/00hhkn466<br>Award Number: 22K19857</p><p>The dataset was collected from <a href="http://ecobase.ecopath.org" rel="noopener">EcoBase</a> and processed using R and Matlab codes (pickupdata.R, createcolormap.m, and script.m).</p>
<p>Details are provided in the README file.</p>