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

ベキスウソクトシャノンエントロピーヲモチイタカイセキヲチュウシントシタメゾスコピックスケールノゲンショウロンテキホウホウロンノイチタンキュウ

博士（農学)東京農工大

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

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&gt