We extend a previously proposed field-theoretic self-consistent perturbation approach for the equilibrium dynamics of the Dean-Kawasaki equation presented in [Kim and Kawasaki, J. Stat. Mech. (2008) P02004]. By taking terms missing in the latter analysis into account we arrive at a set of three new equations for correlation functions of the system. These correlations involve the density and its logarithm as local observables. Our new one-loop equations, which must carefully deal with the noninteracting Brownian gas theory, are more general than the historic mode-coupling one in that a further approximation corresponding to Gaussian density fluctuations leads back to the original mode-coupling equation for the density correlations alone. However, without performing any further approximation step, our set of three equations does not feature any ergodic-nonergodic transition, as opposed to the historical mode-coupling approach.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.89.012150 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Nondeterministic dynamics in the η-to-θ phase transition of alumina nanoparticles.
Science
January 2025
Department of Chemistry, The University of Tokyo, Bunkyo-ku, Tokyo, Japan.
Phase diagrams and crystallography are standard tools for studying structural phase transitions, whereas acquiring kinetic information at the atomistic level has been considered essential but challenging. The η-to-θ phase transition of alumina is unidirectional in bulk and retains the crystal lattice orientation. We report a rare example of a statistical kinetics study showing that for nanoparticles on a bulk Al(OH) surface, this phase transition occurs nondeterministically through an ergodic equilibrium through the molten state, and the memory of the lattice orientation is lost in this process.
View Article and Find Full Text PDFEarly events in G-quadruplex folding captured by time-resolved small-angle X-ray scattering.
Nucleic Acids Res
January 2025
Department of Medicine, UofL Health Brown Cancer Center, University of Louisville, Louisville KY, 505 S Hancock St, Louisville, KY 40202, United States.
Time-resolved small-angle X-ray experiments are reported here that capture and quantify a previously unknown rapid collapse of the unfolded oligonucleotide as an early step in the folding of hybrid 1 and hybrid 2 telomeric G-quadruplex structures. The rapid collapse, initiated by a pH jump, is characterized by an exponential decrease in the radius of gyration from 24.3 to 12.
View Article and Find Full Text PDFSpin-orbit interaction driven terahertz nonlinear dynamics in transition metals.
Npj Spintron
January 2025
Helmholtz-Zentrum Dresden-Rossendorf, Dresden, Germany.
The interplay of electronic charge, spin, and orbital currents, coherently driven by picosecond long oscillations of light fields in spin-orbit coupled systems, is the foundation of emerging terahertz lightwave spintronics and orbitronics. The essential rules for how terahertz fields interact with these systems in a nonlinear way are still not understood. In this work, we demonstrate a universally applicable electronic nonlinearity originating from spin-orbit interactions in conducting materials, wherein the interplay of light-induced spin and orbital textures manifests.
View Article and Find Full Text PDFRecent advancements in the understanding of the alterations in mitochondrial biogenesis in Alzheimer's disease.
Mol Biol Rep
January 2025
Department of Pharmacology and Toxicology, National Institute of Pharmaceutical Education and Research, Raebareli Transit Campus, Bijnour-Sisendi Road, Sarojini Nagar, Lucknow, Uttar Pradesh, 226002, India.
Alzheimer's disease (AD) is a common neurodegenerative disease characterized by progressive memory loss and cognitive decline. The processes underlying the pathophysiology of AD are still not fully understood despite a great deal of research. Since mitochondrial dysfunction affects cellular energy metabolism, oxidative stress, and neuronal survival, it is becoming increasingly clear that it plays a major role in the development of AD.
View Article and Find Full Text PDFCharacterization of the N- and C-terminal domain interface of the three main apoE isoforms: A combined quantitative cross-linking mass spectrometry and molecular modeling study.
Biochim Biophys Acta Gen Subj
January 2025
Center for Structural Biology and Bioinformatics, Université Libre de Bruxelles (ULB), Brussels, Belgium.
Apolipoprotein E (apoE) polymorphism is associated with different pathologies such as atherosclerosis and Alzheimer's disease. Knowledge of the three-dimensional structure of apoE and isoform-specific structural differences are prerequisites for the rational design of small molecule structure modulators that correct the detrimental effects of pathological isoforms. In this study, cross-linking mass spectrometry (XL-MS) targeting Asp, Glu and Lys residues was used to explore the intramolecular interactions in the E2, E3 and E4 isoforms of apoE.
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!