The formation of a gel in a disperse coagulating system, wherein binary coagulation governs the temporal changes of the particle mass spectrum is studied for the coagulation kernel proportional to K(g,l)=gl with g,l being the numbers of monomers in the coalescing pair of particles. This model is known to reveal the sol-gel transition, i.e., the formation of one giant cluster with the mass comparable to the total mass of the whole system. This paper reports on some exact results that are valid for arbitrary initial particle mass spectra. The particle spectrum is shown to be expressed through a contour integral of the exponentiated initial generating function of the particle mass spectrum. The exact formula for the gel mass is derived for the scenario of passive gelation. Two scenarios of gelation, where the gel is either active or passive, are considered.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.88.052120 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Speciation, Distribution and Environmental Risk of Dominant Silver-Containing Nanoparticles in the Taihu Lake, China.
Environ Pollut
January 2025
School of Environment, Hangzhou Institute for Advanced Study, UCAS, Hangzhou 310024, China; State Key Laboratory of Environmental Chemistry and Ecotoxicology, Research Center for Eco-Environmental Sciences, Chinese Academy of Sciences, P. O. Box 2871, Beijing 100085, China; College of Resources and Environment, University of Chinese Academy of Sciences, Beijing, 100049, China.
Silver-containing nanoparticles (AgCNPs) have attracted increasing concerns because of their potential adverse effects on aquatic ecosystems. However, minimal information is available regarding their concentration, distribution, and speciation in the actual environment. In this work, different species of AgCNPs, including silver nanoparticles (AgNPs), silver chloride (AgCl NPs) and silver sulfide (AgS NPs) in water and sediment samples from Taihu Lake were analyzed by a multistep selective dissolution method combined with single-particle inductively coupled plasma mass spectrometry.
View Article and Find Full Text PDFEnhancing single-stage partial nitritation-anammox process with airlift inner-circulation and oxygen partition: a novel strategy for treating high-strength ammonium wastewater.
Environ Res
January 2025
School of Hydraulic and Environmental Engineering, Changsha University of Science & Technology, Changsha 410114, China; Key Laboratory of Dongting Lake Aquatic Eco-Environmental Control and Restoration of Hunan Province, School of Hydraulic Engineering, Changsha University of Science & Technology, Changsha, 410004, China. Electronic address:
In the single-stage partial nitritation-anammox process for high-ammonium wastewater treatment, the presence of sufficient biomass with high activity is essential. This study developed an innovative airlift inner-circulation partition bioreactor (AIPBR) with a dual-cylinder structure. During the 362 days' operation, the AIPBR exhibited robust and stable nitrogen removal performance under diverse influent ammonium spanning from 300 to 1800 mg N/L.
View Article and Find Full Text PDFMorphogenesis of Aragonite Biomineral Structures by the Nonclassical Colloidal Crystal Growth Mechanism Revisited on the Nanoscale: The Noah's Ark Shell (, L.) Case Study.
ACS Biomater Sci Eng
January 2025
Advanced Materials Department, Jožef Stefan Institute, 1000 Ljubljana, Slovenia.
Characterization and formation of the biomineral aragonite structures of the Noah's Ark shell ( L.,1758) were studied from structural, morphogenetic, and biochemical points of view. Structural and morphological features were examined using X-ray diffraction, field-emission scanning electron microscopy, and atomic force microscopy, while thermal properties were determined by thermogravimetric and differential thermal analyses.
View Article and Find Full Text PDFNear-infrared spectroscopy discriminates mass-reared sterile and wild tsetse flies.
PLoS Negl Trop Dis
January 2025
Institut de Recherche en Sciences de la Santé, Direction Régionale, Bobo-Dioulasso, Burkina Faso.
Background: Monitoring the efficacy of the sterile insect technique (SIT) programs, it is desirable to discriminate between wild and sterile tsetse males captured in monitoring traps. Currently, this is primarily achieved by marking sterile males with fluorescent dye powder before release, and identifying them using a fluorescence camera and/or microscope. However, the accuracy of this method is limited due to defective marking and wild flies contaminated with a few dye particles in the monitoring traps.
View Article and Find Full Text PDFEffective Field Theory of Conformal Boundaries.
Phys Rev Lett
December 2024
New York University, Center for Cosmology and Particle Physics, New York, New York 10003, USA.
We introduce an effective field theory (EFT) for conformal impurity by considering a pair of transversely displaced impurities and integrating out modes with mass inversely proportional to the separation distance. This EFT captures the universal signature of the impurity seen by a heavy local operator. We focus on the case of conformal boundaries and derive universal formulas from this EFT for the boundary structure constants at high energy.
View Article and Find Full Text PDFWant 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!