The many-body formalism for dynamical mean-field theory is extended to treat nonequilibrium problems. We illustrate how the formalism works by examining the transient decay of the oscillating current that is driven by a large electric field turned on at time t=0. We show how the Bloch oscillations are quenched by the electron-electron interactions, and how their character changes dramatically for a Mott insulator.
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http://dx.doi.org/10.1103/PhysRevLett.97.266408 | DOI Listing |
PLoS One
January 2025
Department of Physics, University of Calcutta, Kolkata, West Bengal, India.
We present a model of opinion formation where an individual's opinion is influenced by interactions with a group of agents. The model introduces a novel bias mechanism that favors one opinion, a feature not previously explored. In the absence of bias, the system reduces to a mean field voter model.
View Article and Find Full Text PDFBr J Math Stat Psychol
January 2025
Department of Community Health Sciences, University of Manitoba, Winnipeg, Manitoba, Canada.
Recent technological advancements have enabled the collection of intensive longitudinal data (ILD), consisting of repeated measurements from the same individual. The threshold autoregressive (TAR) model is often used to capture the dynamic outcome process in ILD, with autoregressive parameters varying based on outcome variable levels. For ILD from multiple individuals, multilevel TAR (ML-TAR) models have been proposed, with Bayesian approaches typically used for parameter estimation.
View Article and Find Full Text PDFRisk Anal
January 2025
Department of Industrial Engineering, School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, China.
Vaccination is the most effective method of preventing and controlling the transmission of infectious diseases within populations. However, the phenomenon of waning immunity can induce periodic fluctuations in epidemic spreading. This study proposes a coupled epidemic-vaccination dynamic model to analyze the influence of immunity waning on the epidemic spreading within the context of voluntary vaccination.
View Article and Find Full Text PDFPhys Chem Chem Phys
January 2025
CONICET-UNR, Laboratorio de Materiales (LEIM), Escuela de Ingeniería Eléctrica, Centro de Tecnología e Investigación Eléctrica (CETIE), Facultad de Ciencias Exactas, Ingeniería y Agrimensura, Avda. Pellegrini 250, 2000 Rosario, Argentina.
The influence on the mobility of polypeptide chains caused by strain misfit due to molecular electric dipole distortions under applied electric fields up to 769 kV m, in cow cortical femur samples annealed at 373 K, 423 K, and 530 K, is determined. The behaviour of strain misfit as a function of the electric field strength is determined from a mean-field model based on the Eshelby theory. In addition, Friedel's model for describing the mobility of dislocations in continuum media has been modified to determine the interaction energy between electrically generated obstacles and the polypeptide chains.
View Article and Find Full Text PDFACS Nano
January 2025
Department of Physics and Astronomy, University of Manitoba, Winnipeg R3T 2N2, Canada.
Theory and simulations are used to demonstrate implementation of a variational Bayes algorithm called "active inference" in interacting arrays of nanomagnetic elements. The algorithm requires stochastic elements, and a simplified model based on a magnetic artificial spin ice geometry is used to illustrate how nanomagnets can generate the required random dynamics. Examples of tracking and PID control are demonstrated and shown to be consistent with the original stochastic differential equation formulation of active inference.
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