The relaxation towards equilibrium of systems with long-range interactions is not yet understood. As a step towards such a comprehension, we propose the study of dynamical equilibrium fluctuations in a model system with long-range interaction. We compute analytically, from the microscopic dynamics, the autocorrelation function of the order parameter. From this result, we derive analytically a Fokker-Planck equation which describes the stochastic process of the impulsion of a single particle in an equilibrium bath. The diffusion coefficient is explicitly computed.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.70.036113 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Inverse stochastic resonance in a two-dimensional airfoil system with nonlinear pitching stiffness driven by Lévy noise.
Chaos
January 2025
State Key Laboratory of Mechanics and Control for Aerospace Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.
The aircraft can experience complex environments during the flight. For the random actions, the traditional Gaussian white noise assumption may not be sufficient to depict the realistic stochastic loads on the wing structures. Considering fluctuations with extreme conditions, Lévy noise is a better candidate describing the stochastic dynamical behaviors on the airfoil models.
View Article and Find Full Text PDFOn the structure of nanoparticle clusters: effects of long-range interactions.
Phys Chem Chem Phys
January 2025
Department of Chemical Engineering, Delft University of Technology, Van der Maasweg 9, Delft, 2629HZ, The Netherlands.
The fractal structure of aggregates consisting of primary nanoparticles naturally arises during their synthesis. While typically considered to be a fully stochastic process, we suspect long-range interactions, in particular van der Waals forces, to induce an active pull on particles, altering the clustering process. Using an off-grid 3D model, we show that an active pull decreases the density and fractal dimension of formed clusters.
View Article and Find Full Text PDFVersatile graceful degradation framework for bio-inspired proprioception with redundant soft sensors.
Front Robot AI
January 2025
Neuro-robotics Laboratory, Department of Robotics, Graduate School of Engineering, Tohoku University, Sendai, Japan.
Reliable proprioception and feedback from soft sensors are crucial for enabling soft robots to function intelligently in real-world environments. Nevertheless, soft sensors are fragile and are susceptible to various damage sources in such environments. Some researchers have utilized redundant configuration, where healthy sensors compensate instantaneously for lost ones to maintain proprioception accuracy.
View Article and Find Full Text PDFDual-driving of data and knowledge to reduce uncertainty in lithofacies interpolation.
Sci Rep
January 2025
Exploration and Development Research Institute, PetroChina Tarim Oilfield Company, Korla, 841000, China.
The reservoir in focus has braided river delta front deposition, with multiple periods of submerged distributary channels within the reservoir. It also displays frequent cutting and stacking with local-connecting characteristics. Forecasting the sand distribution characteristics between wells in this type of reservoir brings a significant challenge for modeling.
View Article and Find Full Text PDFCost-effectiveness analysis of durvalumab with chemotherapy and maintenance durvalumab with or without olaparib for advanced endometrial cancer.
Sci Rep
January 2025
Department of Pharmacy, Fujian Medical University Union Hospital, Fuzhou, China.
This study evaluates the cost-effectiveness of adding durvalumab to chemotherapy, with subsequent maintenance either with olaparib (DOCT) or without olaparib (DCT), versus chemotherapy alone (CT) as a first-line treatment for advanced endometrial cancer (EC) in the United States, stratified by mismatch repair deficiency (dMMR) and proficiency (pMMR). A Markov model based on DUO-E Phase III trial data simulated disease progression and outcomes. Total costs, quality-adjusted life years (QALYs), and incremental cost-effectiveness ratios (ICER) were evaluated.
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!