103 citations · 156 across the 20 of their papers we have counts for
20 papers
Thermodynamics for Reduced Models of Chemical Reactions by PEA and QSSA
Liangrong Peng, Liu Hong
Partial equilibrium approximation (PEA) and quasi-steady-state approximation (QSSA) are two classical methods for reducing complex macroscopic chemical reactions into simple comput…
Entropy Structure Informed Learning for Inverse XDE Problems
Yan Jiang, Wuyue Yang, Yi Zhu +1
Entropy, since its first discovery by Ludwig Boltzmann in 1877, has been widely applied in diverse disciplines, including thermodynamics, continuum mechanics, mathematical analysis…
Recent Advances in Conservation-Dissipation Formalism for Irreversible Processes
Liangrong Peng, Liu Hong
The main purpose of this review is to summarize the recent advances of the Conservation-Dissipation Formalism (CDF), a new way for constructing both thermodynamically compatible an…
Identification of hydrodynamic instability by convolutional neural networks
Wuyue Yang, Liangrong Peng, Yi Zhu +1
The onset of hydrodynamic instabilities is of great importance in both industry and daily life, due to the dramatic mechanical and thermodynamic changes for different types of flow…
When Machine Learning Meets Multiscale Modeling in Chemical Reactions
Wuyue Yang, Liangrong Peng, Yi Zhu +1
Due to the intrinsic complexity and nonlinearity of chemical reactions, direct applications of traditional machine learning algorithms may face with many difficulties. In this stud…
Revealing hidden dynamics from time-series data by ODENet
Pipi Hu, Wuyue Yang, Yi Zhu +1
To derive the hidden dynamics from observed data is one of the fundamental but also challenging problems in many different fields. In this study, we propose a new type of interpret…
Rational evaluation of various epidemic models based on the COVID-19 data of China
Wuyue Yang, Dongyan Zhang, Liangrong Peng +2
In this paper, based on the Akaike information criterion, root mean square error and robustness coefficient, a rational evaluation of various epidemic models/methods, including sev…
The Statistical Foundation of Entropy in Extended Irreversible Thermodynamics
Liu Hong, Hong Qian
In the theory of extended irreversible thermodynamics (EIT), the flux-dependent entropy function plays a key role and has a fundamental distinction from the usual flux-independent…
Stochastic Dynamics, Large Deviations Principle, and Non-equilibrium Thermodynamics
Liu Hong, Hong Qian
By examining the deterministic limit of a general -dependent generator for Markovian dynamics, which includes the continuous Fokker-Planck equations and discrete chemical master…
Epidemic analysis of COVID-19 in China by dynamical modeling
Liangrong Peng, Wuyue Yang, Dongyan Zhang +2
The outbreak of novel coronavirus-caused pneumonia (COVID-19) in Wuhan has attracted worldwide attention. Here, we propose a generalized SEIR model to analyze this epidemic. Based…
Linear and nonlinear electromagnetic waves in modulated honeycomb media
Pipi Hu, Liu Hong, Yi Zhu
Wave dynamics in topological materials has been widely studied recently. A striking feature is the existence of robust and chiral wave propagations that have potential applications…
Conservation-Dissipation Formalism for Soft Matter Physics: II. Application to Non-isothermal Nematic Liquid Crystals
Liangrong Peng, Yucheng Hu, Liu Hong
To most existing non-equilibrium theories, the modeling of non-isothermal processes was a hard task. Intrinsic difficulties involved the non-equilibrium temperature, the coexistenc…
Conservation-Dissipation Formalism for Soft Matter Physics: I. Equivalence with Doi's Variational Approach
Liangrong Peng, Yucheng Hu, Liu Hong
In this paper, we proved that by choosing the proper variational function and variables, the variational approach proposed by M. Doi in soft matter physics was equivalent to the Co…
Representations and Divergences in the Space of Probability Measures and Stochastic Thermodynamics
Liu Hong, Hong Qian, Lowell F. Thompson
Radon-Nikodym (RN) derivative between two measures arises naturally in the affine structure of the space of probability measures with densities. Entropy, free energy, relative entr…
Phase Transition Dynamics and Stochastic Resonance in Topologically Confined Nematic Liquid Crystals
Yucheng Hu, Liu Hong, Weihua Deng
Topological defects resulted from boundary constraints in confined liquid crystals have attracted extensive research interests. In this paper, we use numerical simulation to study…
The Markov Process Admits a Consistent Steady-State Thermodynamic Formalism
Liangrong Peng, Yi Zhu, Liu Hong
The seek for a new universal formulation for describing various non-equilibrium processes is a central task of modern non-equilibrium thermodynamics. In this paper, a novel steady-…
Radial prescribing scalar curvature on
Liu Hong
The study of radial prescribing scalar curvature of X.Xu and P.C.Yang [2] in 1993 showed a nonexistence result on . Later in 1995, W.Chen and C.Li [2] generalized the nonexist…
Boltzmann-Equation Based Derivation of Balance Laws in Irreversible Thermodynamics
Liu Hong, Zaibao Yang, Yi Zhu +1
In this paper we propose a novel approach to construct macroscopic balance equations and constitutive equations describing various irreversible phenomena. It is based on the genera…
Conservation-dissipation formalism of irreversible thermodynamics
Yi Zhu, Liu Hong, Zaibao Yang +1
We propose a conservation-dissipation formalism (CDF) for coarse-grained descriptions of irreversible processes. This formalism is based on a stability criterion for non-equilibriu…
Thermodynamics of Markov Processes with Non-extensive Entropy and Free Energy
Liangrong Peng, Hong Qian, Liu Hong
Statistical thermodynamics of small systems shows dramatic differences from normal systems. Parallel to the recently presented steady-state thermodynamic formalism for master equat…