7 papers
Four Levels of Thermodynamic Convergence of Singularly Perturbed Markov Semigroups
Xinyu Zhang, Liu Hong
Assuming the dynamical convergence for singular limits of time-homogeneous Markov diffusion semigroups, we develop a semigroup-level framework that upg…
Epidemic dynamics in physical-information-social multilayer networks
Mengshou Wang, Liangrong Peng, Baoguo Jia +1
During epidemic outbreaks, information dissemination enhances individual protection, while social institutions influence the transmission through measures like government intervent…
Thermodynamics of Chemical Reactions in Open Systems Reduced by PEA and QSSA
Xinyu Zhang, Haiyang Jia, Liangrong Peng +1
Previous studies have primarily focused on the nonequilibrium thermodynamics of chemical reaction networks (CRNs) occurring in closed systems. In contrast, CRNs in open systems exh…
Extracting Interaction Kernels for Many-Particle Systems by a Two-Phase Approach
Yangxuan Shi, Wuyue Yang, Liu Hong
This paper presents a two-phase method for learning interaction kernels of stochastic many-particle systems. After transforming stochastic trajectories of every particle into the p…
MEP-Net: Generating Solutions to Scientific Problems with Limited Knowledge by Maximum Entropy Principle
Wuyue Yang, Liangrong Peng, Guojie Li +1
Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networ…
Thermodynamics for Reduced Models of Breakable Amyloid Filaments Based on Maximum Entropy Principle
Xinyu Zhang, Haiyang Jia, Wuyue Yang +2
Amyloid filaments are associated with neurodegenerative diseases such as Alzheimer's and Parkinson's. Simplified models of amyloid aggregation are crucial because the original mass…