The Ising model does not have strictly defined dynamics, only a spectrum. There are different ways to equip it with time dependence, e.g., the Glauber or the Kawasaki dynamics, which are both stochastic, but it means there is a master equation that can also describe their dynamics. These equations can be derived from the Redfield equation, where the spin system is weakly coupled to a bosonic bath. In this paper, we investigate the temperature dependence of the relaxation time of a Glauber-type master equation, especially in the case of the fully connected, uniform Ising model. The finite-size effects were analyzed with a reduced master equation and the thermodynamic limit with a time-dependent mean field equation.
Download full-text PDF |
Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8884623 | PMC |
| http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0264412 | PLOS |
Publication Analysis
Top Keywords
Similar Publications
We study Hopfield networks with non-reciprocal coupling inducing switches between memory patterns. Dynamical phase transitions occur between phases of no memory retrieval, retrieval of multiple point-attractors, and limit-cycle attractors. The limit cycle phase is bounded by two critical regions: a Hopf bifurcation line and a fold bifurcation line, each with unique dynamical critical exponents and sensitivity to perturbations.
View Article and Find Full Text PDFLearning curve analysis of extraperitoneal single-site robotic-assisted radical prostatectomy: a CUSUM-based approach.
J Robot Surg
January 2025
Department of Urology, The First Affiliated Hospital of Guangzhou Medical University, Guangzhou, 510230, Guangdong, China.
This study applied cumulative sum (CUSUM) analysis to evaluate trends in operative time and blood loss, It aims to identify key milestones in mastering extraperitoneal single-site robotic-assisted radical prostatectomy (ss-RARP). A cohort of 100 patients who underwent ss-RARP, performed by a single surgeon at the First Affiliated Hospital of Guangzhou Medical University between March 2021 and June 2023, was retrospectively analyzed. To evaluate the learning curve, the CUSUM (Cumulative Sum Control Chart) technique was applied, revealing the progression and variability over time.
View Article and Find Full Text PDFFull-dimensional accurate potential energy surface and dynamics for the unimolecular isomerization reaction CH3NC ⇌ CH3CN.
J Chem Phys
January 2025
School of Chemistry and Chemical Engineering and Chongqing Key Laboratory of Chemical Theory and Mechanism, Chongqing University, Chongqing 401331, China.
The reaction CH3NC ⇌ CH3CN, a model reaction for the study of unimolecular isomerization, is important in astronomy and atmospheric chemistry and has long been studied by numerous experiments and theories. In this work, we report the first full-dimensional accurate potential energy surface (PES) of this reaction by the permutation invariant polynomial-neural network method based on 30 974 points, whose energies are calculated at the CCSD(T)-F12a/AVTZ level. Then, ring polymer molecular dynamics is used to derive the free energy barrier of the reaction at the experimental temperature range of 472.
View Article and Find Full Text PDFThe Dynamics of Pheromone Release in Two Passive Dispensers Commonly Used for Mating Disruption in the Control of and in Vineyards.
Insects
December 2024
Department of Sustainable Crop Production (DiProVeS), Università Cattolica del Sacro Cuore di Piacenza, 29122 Piacenza, Italy.
Background: Mating disruption (MD) is a worthwhile technique for the control of and in central Europe and Mediterranean areas. MD efficacy is affected by the pheromone release (PR), which in turn is influenced by environmental conditions.
Methods: The effect of weather conditions on PR was evaluated under four different fields in northern Italy.
The Impact of Nursing Heads Leadership on Research Innovation Behavior of Junior Nurses with Master's Degree: The Mediation of Perceived Barriers and the Moderation of Motivation.
J Healthc Leadersh
December 2024
Neurology Department, The First Affiliated Hospital of Zhengzhou University, Zhengzhou, Henan, People's Republic of China.
Background: Nursing leadership is recognized as essential to fostering innovation in hospitals, while the precise relationship between them has yet to be established.
Aim: The objective of this study is to examine the association among leadership in nursing research, research motivation, perceived barriers, and innovation behavior of junior nurses who hold a master's degree or above in the hospital.
Methods: A cross-sectional survey was conducted and electronic questionnaires were distributed online.
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!