Building Blocks of Percolation Clusters: Volatile Fractals

1984 ◽  
Vol 53 (12) ◽  
pp. 1121-1124 ◽  
Author(s):  
Hans J. Herrmann ◽  
H. Eugene Stanley
2020 ◽  
Author(s):  
Saibal Mitra

<p>The mathematician John von Neumann, through his work on universal constructors, discovered<br />a generalized version of the central dogma of molecular biology biology in the 1940s, long  <br />before the biological version had been discovered. While his discovery played no role in the  <br />development of molecular biology, we may benefit from a similar mathematical approach to find  <br />clues on the origin of life. This then involves addressing those problems in the field that  <br />do not depend on the details of organic chemistry. We can then consider a general set of  <br />models that describe machines capable of self-maintenance and self-replication formulated in  <br />terms of a set of building blocks and their interactions. </p> <p>The analogue of the origin of life problem is then to explain how one can get to such  <br />machines starting from a set of only building blocks. A fundamental obstacle one then faces  <br />is the limit on the complexity of low fidelity replicating systems, preventing building  <br />blocks from getting assembled randomly into low fidelity machines which can then improve due  <br />to natural selection [1]. A generic way out of this problem is for the entire ecosystem of  <br />machines to have been encapsulated in a micro-structure with fixed inner surface features  <br />that would have boosted the fidelity [2]. Such micro-structures could have formed as a result  <br />of the random assembly of building blocks, leading to so-called percolation clusters [2].</p> <p>This then leads us to consider how in the real world a percolation process involving the  <br />random assembly of organic molecules can be realized. A well studied process in the  <br />literature is the assembly of organic compounds in ice grains due to UV radiation and heating  <br />events [3,4,5]. This same process will also lead to the percolation process if it proceeds  <br />for a sufficiently long period [2].</p> <p>In this talk I will discuss the percolation process in more detail than has been done in [2],  <br />explaining how it leads to the necessary symmetry breakings such as the origin of chiral  <br />molecules needed to explain the origin of life.   </p> <p> </p> <p>[1] Eigen, M., 1971. Self-organization of matter and the evolution of biological  <br />macromolecules. Naturwissenschaften 58, 465-523.</p> <p>[2] Mitra, S., 2019. Percolation clusters of organics in interstellar ice grains as the  <br />incubators of life, Progress in Biophysics and Molecular Biology 149, 33-38.</p> <p>[3] Ciesla, F., and Sandford.,S., 2012. Organic Synthesis via Irradiation and Warming of Ice  <br />Grains in the Solar Nebula. Science 336, 452-454.</p> <p>[4] Muñoz Caro, G., et al., 2002. Amino acids from ultraviolet irradiation of interstellar ice  <br />analogues. Nature 416, 403-406.</p> <p>[5]  Meinert, C,., et al., 2016. Ribose and related sugars from ultraviolet irradiation of  <br />interstellar ice analogs. Science 352, 208-212.</p>


Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3054
Author(s):  
Hector Eduardo Roman ◽  
Fabrizio Croccolo

We discuss network models as a general and suitable framework for describing the spreading of an infectious disease within a population. We discuss two types of finite random structures as building blocks of the network, one based on percolation concepts and the second one on random tree structures. We study, as is done for the SIR model, the time evolution of the number of susceptible (S), infected (I) and recovered (R) individuals, in the presence of a spreading infectious disease, by incorporating a healing mechanism for infecteds. In addition, we discuss in detail the implementation of lockdowns and how to simulate them. For percolation clusters, we present numerical results based on site percolation on a square lattice, while for random trees we derive new analytical results, which are illustrated in detail with a few examples. It is argued that such hierarchical networks can complement the well-known SIR model in most circumstances. We illustrate these ideas by revisiting USA COVID-19 data.


1997 ◽  
Vol 161 ◽  
pp. 23-47 ◽  
Author(s):  
Louis J. Allamandola ◽  
Max P. Bernstein ◽  
Scott A. Sandford

AbstractInfrared observations, combined with realistic laboratory simulations, have revolutionized our understanding of interstellar ice and dust, the building blocks of comets. Since comets are thought to be a major source of the volatiles on the primative earth, their organic inventory is of central importance to questions concerning the origin of life. Ices in molecular clouds contain the very simple molecules H2O, CH3OH, CO, CO2, CH4, H2, and probably some NH3and H2CO, as well as more complex species including nitriles, ketones, and esters. The evidence for these, as well as carbonrich materials such as polycyclic aromatic hydrocarbons (PAHs), microdiamonds, and amorphous carbon is briefly reviewed. This is followed by a detailed summary of interstellar/precometary ice photochemical evolution based on laboratory studies of realistic polar ice analogs. Ultraviolet photolysis of these ices produces H2, H2CO, CO2, CO, CH4, HCO, and the moderately complex organic molecules: CH3CH2OH (ethanol), HC(= O)NH2(formamide), CH3C(= O)NH2(acetamide), R-CN (nitriles), and hexamethylenetetramine (HMT, C6H12N4), as well as more complex species including polyoxymethylene and related species (POMs), amides, and ketones. The ready formation of these organic species from simple starting mixtures, the ice chemistry that ensues when these ices are mildly warmed, plus the observation that the more complex refractory photoproducts show lipid-like behavior and readily self organize into droplets upon exposure to liquid water suggest that comets may have played an important role in the origin of life.


Author(s):  
D.E. Brownlee ◽  
A.L. Albee

Comets are primitive, kilometer-sized bodies that formed in the outer regions of the solar system. Composed of ice and dust, comets are generally believed to be relic building blocks of the outer solar system that have been preserved at cryogenic temperatures since the formation of the Sun and planets. The analysis of cometary material is particularly important because the properties of cometary material provide direct information on the processes and environments that formed and influenced solid matter both in the early solar system and in the interstellar environments that preceded it.The first direct analyses of proven comet dust were made during the Soviet and European spacecraft encounters with Comet Halley in 1986. These missions carried time-of-flight mass spectrometers that measured mass spectra of individual micron and smaller particles. The Halley measurements were semi-quantitative but they showed that comet dust is a complex fine-grained mixture of silicates and organic material. A full understanding of comet dust will require detailed morphological, mineralogical, elemental and isotopic analysis at the finest possible scale. Electron microscopy and related microbeam techniques will play key roles in the analysis. The present and future of electron microscopy of comet samples involves laboratory study of micrometeorites collected in the stratosphere, in-situ SEM analysis of particles collected at a comet and laboratory study of samples collected from a comet and returned to the Earth for detailed study.


Author(s):  
Yeshayahu Talmon

To achieve complete microstructural characterization of self-aggregating systems, one needs direct images in addition to quantitative information from non-imaging, e.g., scattering or Theological measurements, techniques. Cryo-TEM enables us to image fluid microstructures at better than one nanometer resolution, with minimal specimen preparation artifacts. Direct images are used to determine the “building blocks” of the fluid microstructure; these are used to build reliable physical models with which quantitative information from techniques such as small-angle x-ray or neutron scattering can be analyzed.To prepare vitrified specimens of microstructured fluids, we have developed the Controlled Environment Vitrification System (CEVS), that enables us to prepare samples under controlled temperature and humidity conditions, thus minimizing microstructural rearrangement due to volatile evaporation or temperature changes. The CEVS may be used to trigger on-the-grid processes to induce formation of new phases, or to study intermediate, transient structures during change of phase (“time-resolved cryo-TEM”). Recently we have developed a new CEVS, where temperature and humidity are controlled by continuous flow of a mixture of humidified and dry air streams.


2016 ◽  
Vol 37 (3) ◽  
pp. 181-193 ◽  
Author(s):  
Aire Mill ◽  
Anu Realo ◽  
Jüri Allik

Abstract. Intraindividual variability, along with the more frequently studied between-person variability, has been argued to be one of the basic building blocks of emotional experience. The aim of the current study is to examine whether intraindividual variability in affect predicts tiredness in daily life. Intraindividual variability in affect was studied with the experience sampling method in a group of 110 participants (aged between 19 and 84 years) during 14 consecutive days on seven randomly determined occasions per day. The results suggest that affect variability is a stable construct over time and situations. Our findings also demonstrate that intraindividual variability in affect has a unique role in predicting increased levels of tiredness at the momentary level as well at the level of individuals.


Sign in / Sign up

Export Citation Format

Share Document