An extensive study on the (2+1) -dimensional super-rough growth processes, described by a special class of linear growth equations, is undertaken. This special class of growth equations is of theoretical interests since they are exactly solvable and thus provide a window for understanding the intriguing anomalous scaling behaviors of super-rough interfaces. We first work out the exact solutions of the interfacial heights and the equal-time height difference correlation functions. Through our rigorous analysis, the detailed asymptotics of the correlation function in various time regimes are derived. Our obtained analytical results not only affirm the applicability of anomalous dynamic scaling ansatz but also offer a solid example for understanding a distinct universal feature of super-rough interfaces: the local roughness exponent is always equal to 1. Furthermore, we also perform some numerical simulations for illustration. Finally, we discuss what are the essential ingredients for constructing super-rough growth equations.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.75.011603 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Assessment of Atrial Size, Shape, and Contractility in Growth-Restricted and Small-for-Gestational-Age Fetuses.
J Ultrasound Med
January 2025
Department of Obstetrics and Gynecology, University of Colorado School of Medicine, Aurora, Colorado, USA.
Objectives: The size, shape, and contractility of the heart's atrial chambers have not been evaluated in fetuses with growth restriction (FGR) or who are small-for-gestational-age (SGA) as defined by the Delphi consensus protocol. This study aimed to examine the atrial chambers using speckle tracking analysis to identify any changes that may be specific for either growth disturbance.
Methods: Sixty-three fetuses were evaluated with an estimated fetal weight <10th percentile who were classified as FGR or SGA based on the Delphi consensus protocol.
Effects of oil pollution on the growth and rhizosphere microbial community of Calamagrostis epigejos.
Sci Rep
January 2025
Xi'an Botanical Garden of Shaanxi Province, Institute of Botany of Shaanxi Province, Xi'an, 710061, Shaanxi, China.
Bacteria, fungi, archaea, and viruses are reflective organisms that indicate soil health. Investigating the impact of crude oil pollution on the community structure and interactions among bacteria, fungi, archaea, and viruses in Calamagrostis epigejos soil can provide theoretical support for remediating crude oil pollution in Calamagrostis epigejos ecosystems. In this study, Calamagrostis epigejos was selected as the research subject and subjected to different levels of crude oil addition (0 kg/hm, 10 kg/hm, 40 kg/hm).
View Article and Find Full Text PDFControl optimization of air traffic emissions in a two-variable dynamic model.
Sci Rep
January 2025
Department of Physics and Mathematics, University of Alcalá, Alcalá de Henares, Spain.
Since 1999, every report released by the International Panel on Climate Change has advocated a decrease in the greenhouse gas emissions associated with aviation in order to preserve the current climate. This study used a two variable differential equations model with a non-linear control term to address several aspects of the emissions stabilization issue. By optimizing the control term parameter, several management alternatives can be obtained based on the properties of the phase plane of the model solutions, as identified by a stability analysis.
View Article and Find Full Text PDFImproving soil properties and Sesbania growth through combined organic amendment strategies in a coastal saline-alkali soil.
J Environ Manage
January 2025
College of Environmental Science and Engineering, Qingdao University, Qingdao, 266071, China; Carbon Neutrality and Eco-Environmental Technology Innovation Center of Qingdao, Qingdao, 266071, China.
Improving the quality of degraded coastal saline-alkali soil and promoting plant growth are key challenges in the restoration of ecological functions in coastal regions. Organic ameliorants such as effective microbial (EM) agent, biochar, and organic compost have been proposed as sustainable solutions, but limited research has explored the combined effects of these amendments. This study investigates five organic improvement strategies: individual applications of EM, corn straw biochar (CSB), and sewage sludge-reed straw compost (COM), along with combined treatments of CSB + EM and COM + EM, on Sesbania growth in a pot experiment.
View Article and Find Full Text PDFAnthropometric Measurements and Laboratory Methods for Pregnancy: An Update Review to Evaluation of Body Composition.
Curr Nutr Rep
January 2025
Department of Nutrition and Dietetics, Gazi University, Ankara, Türkiye.
Purpose Of Review: The aim of this review is to summarize and put into context the current evidence on anthropometric measurements and laboratory methods used in the evaluation of body composition in pregnancy, in the light of current studies.
Recent Findings: Protecting women's health during pregnancy, childbirth and the postnatal period is important for maternal health. Pregnancy is a critical period during which the female body undergoes significant changes to support fetal growth and development.
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!