The full utilization of affordable potassium-ion batteries(PIBs)based on all-aluminum current collectors is hindered by low specific energy,limited lifespan,and safety concerns,primarily due to the lack of suitable el...The full utilization of affordable potassium-ion batteries(PIBs)based on all-aluminum current collectors is hindered by low specific energy,limited lifespan,and safety concerns,primarily due to the lack of suitable electrolytes for high-capacity electrodes.This work introduces new molecular insights,from bulk solvation chemistry to interfacial behaviors,for designing compatible electrolytes.Fluorinated triethyl phosphate(FTEP)of tris(2,2,2-trifluoroethyl)phosphate was strategically selected as a low-polarity solvating solvent to create an anion-rich solvation sheath,albeit with reduced ion mobility at moderate concentration(1.0 mol·L^(−1)).The deficiency of solvating-solvent molecules in the primary solvation sheath facilitates the formation of a protective layer derived from bis(fluorosulfonyl)imide anion decomposition,ultimately inhibiting undesirable side reactions at electrode/electrolyte interfaces.Moreover,FTEP as the sole solvating solvent endows the electrolyte with exceptional flame retardancy.The results provide crucial insights into the role of solvation chemistry on solvation structure and interfacial transport dynamics,critical for advancing the development of compatible electrolytes for high-performance PIBs.展开更多
This letter is focused on proposing an arbitrarily high-order energy-preserving method for solving the charged-particle dynamics.After transforming the original Hamiltonian energy functional into a quadratic form by u...This letter is focused on proposing an arbitrarily high-order energy-preserving method for solving the charged-particle dynamics.After transforming the original Hamiltonian energy functional into a quadratic form by using the invariant energy quadratization method,symplectic Runge-Kutta method is used to construct a novel energy-preserving scheme to solve the Lorentz force system.The new scheme is not only energy-preserving,but also can be arbitrarily highorder.Numerical experiments are conducted to demonstrate the notable superiority of the new method with comparison to the well-known Boris method and another second-order energypreserving method in the literature.展开更多
In recent years,posttranscriptional cellular processes such as alternative splicing,messenger RNA(mRNA)decay and translational control have emerged as important regulatory layers required for fine-tuning the inflammat...In recent years,posttranscriptional cellular processes such as alternative splicing,messenger RNA(mRNA)decay and translational control have emerged as important regulatory layers required for fine-tuning the inflammatory response in coordination with transcriptional regulation.However,among these posttranscriptional mechanisms,very little is known regarding the role of alternative polyadenylation(APA),a process that generates transcripts with different 3'ends,in modulating gene expression during inflammation.In a paper published on this topic,Chen and coworkers provided evidence indicating that alternative polyadenylation promotes macrophage inflammatory functions by modulating the expression of genes involved in the autophagy pathway[1].展开更多
In this paper,we study the Camassa-Holm equation and the Degasperis-Procesi equation.The two equations are in the family of integrable peakon equations,and both have very rich geometric properties.Based on these geome...In this paper,we study the Camassa-Holm equation and the Degasperis-Procesi equation.The two equations are in the family of integrable peakon equations,and both have very rich geometric properties.Based on these geometric structures,we construct the geometric numerical integrators for simulating their soliton solutions.The Camassa-Holm equation and the Degasperis-Procesi equation have many common properties,however they also have the significant difference,for example there exist the shock wave solutions for the Degasperis-Procesi equation.By using the symplectic Fourier pseudo-spectral integrator,we simulate the peakon solutions of the two equations.To illustrate the smooth solitons and shock wave solutions of the DP equation,we use the splitting technique and combine the composition methods.In the numerical experiments,comparisons of these two kinds of methods are presented in terms of accuracy,computational cost and invariants preservation.展开更多
In this paper,we systematically construct two classes of structure-preserving schemes with arbitrary order of accuracy for canonical Hamiltonian systems.The one class is the symplectic scheme,which contains two new fa...In this paper,we systematically construct two classes of structure-preserving schemes with arbitrary order of accuracy for canonical Hamiltonian systems.The one class is the symplectic scheme,which contains two new families of parameterized symplectic schemes that are derived by basing on the generating function method and the symmetric composition method,respectively.Each member in these schemes is symplectic for any fixed parameter.A more general form of generating functions is introduced,which generalizes the three classical generating functions that are widely used to construct symplectic algorithms.The other class is a novel family of energy and quadratic invariants preserving schemes,which is devised by adjusting the parameter in parameterized symplectic schemes to guarantee energy conservation at each time step.The existence of the solutions of these schemes is verified.Numerical experiments demonstrate the theoretical analysis and conservation of the proposed schemes.展开更多
The main objective of this paper is to present an efficient structure-preserving scheme,which is based on the idea of the scalar auxiliary variable approach,for solving the twodimensional space-fractional nonlinear Sc...The main objective of this paper is to present an efficient structure-preserving scheme,which is based on the idea of the scalar auxiliary variable approach,for solving the twodimensional space-fractional nonlinear Schrodinger equation.First,we reformulate the equation as an canonical Hamiltonian system,and obtain a new equivalent system via introducing a scalar variable.Then,we construct a semi-discrete energy-preserving scheme by using the Fourier pseudo-spectral method to discretize the equivalent system in space direction.After that,applying the Crank-Nicolson method on the temporal direction gives a linearly-implicit scheme in the fully-discrete version.As expected,the proposed scheme can preserve the energy exactly and more efficient in the sense that only decoupled equations with constant coefficients need to be solved at each time step.Finally,numerical experiments are provided to demonstrate the efficiency and conservation of the scheme.展开更多
In the paper,we propose a novel linearly implicit structure-preserving algorithm,which is derived by combing the invariant energy quadratization approach with the exponential time differencing method,to construct effi...In the paper,we propose a novel linearly implicit structure-preserving algorithm,which is derived by combing the invariant energy quadratization approach with the exponential time differencing method,to construct efficient and accurate time discretization scheme for a large class of Hamiltonian partial differential equations(PDEs).The proposed scheme is a linear system,and can be solved more efficient than the original energy-preserving ex-ponential integrator scheme which usually needs nonlinear iterations.Various experiments are performed to verify the conservation,efficiency and good performance at relatively large time step in long time computations.展开更多
An energy-preserving scheme is proposed for the coupled Gross-Pitaevskii equations.The scheme is constructed by high order compact method in the spatial direction and average vector field method in the temporal direct...An energy-preserving scheme is proposed for the coupled Gross-Pitaevskii equations.The scheme is constructed by high order compact method in the spatial direction and average vector field method in the temporal direction,respectively.The scheme is energy-preserving,stable,and of sixth order in space and of second order in time.Numerical experiments verify the theoretical results.The dynamic behavior modeled by the coupled Gross-Pitaevskii equations is also numerically investigated.展开更多
基金support from the National Natural Science Foundation of China(Grant No.52301280)the Shenzhen Science and Technology Program(Grant No.JCYJ20240813142526034)+1 种基金the Guangdong Basic and Applied Basic Research Foundation(Grant No.2025A1515010810)the Scientific Foundation for Youth Scholars of Shenzhen University(Grant No.868-000001032171).
文摘The full utilization of affordable potassium-ion batteries(PIBs)based on all-aluminum current collectors is hindered by low specific energy,limited lifespan,and safety concerns,primarily due to the lack of suitable electrolytes for high-capacity electrodes.This work introduces new molecular insights,from bulk solvation chemistry to interfacial behaviors,for designing compatible electrolytes.Fluorinated triethyl phosphate(FTEP)of tris(2,2,2-trifluoroethyl)phosphate was strategically selected as a low-polarity solvating solvent to create an anion-rich solvation sheath,albeit with reduced ion mobility at moderate concentration(1.0 mol·L^(−1)).The deficiency of solvating-solvent molecules in the primary solvation sheath facilitates the formation of a protective layer derived from bis(fluorosulfonyl)imide anion decomposition,ultimately inhibiting undesirable side reactions at electrode/electrolyte interfaces.Moreover,FTEP as the sole solvating solvent endows the electrolyte with exceptional flame retardancy.The results provide crucial insights into the role of solvation chemistry on solvation structure and interfacial transport dynamics,critical for advancing the development of compatible electrolytes for high-performance PIBs.
基金Support by the National Natural Science Foundation of China(Grants Nos.1180127711971242).
文摘This letter is focused on proposing an arbitrarily high-order energy-preserving method for solving the charged-particle dynamics.After transforming the original Hamiltonian energy functional into a quadratic form by using the invariant energy quadratization method,symplectic Runge-Kutta method is used to construct a novel energy-preserving scheme to solve the Lorentz force system.The new scheme is not only energy-preserving,but also can be arbitrarily highorder.Numerical experiments are conducted to demonstrate the notable superiority of the new method with comparison to the well-known Boris method and another second-order energypreserving method in the literature.
文摘In recent years,posttranscriptional cellular processes such as alternative splicing,messenger RNA(mRNA)decay and translational control have emerged as important regulatory layers required for fine-tuning the inflammatory response in coordination with transcriptional regulation.However,among these posttranscriptional mechanisms,very little is known regarding the role of alternative polyadenylation(APA),a process that generates transcripts with different 3'ends,in modulating gene expression during inflammation.In a paper published on this topic,Chen and coworkers provided evidence indicating that alternative polyadenylation promotes macrophage inflammatory functions by modulating the expression of genes involved in the autophagy pathway[1].
基金This research was supported by the National Natural Science Foundation of China 11271357,11271195 and 41504078by the CSC,the Foundation for Innovative Research Groups of the NNSFC 11321061 and the ITER-China Program 2014GB124005。
文摘In this paper,we study the Camassa-Holm equation and the Degasperis-Procesi equation.The two equations are in the family of integrable peakon equations,and both have very rich geometric properties.Based on these geometric structures,we construct the geometric numerical integrators for simulating their soliton solutions.The Camassa-Holm equation and the Degasperis-Procesi equation have many common properties,however they also have the significant difference,for example there exist the shock wave solutions for the Degasperis-Procesi equation.By using the symplectic Fourier pseudo-spectral integrator,we simulate the peakon solutions of the two equations.To illustrate the smooth solitons and shock wave solutions of the DP equation,we use the splitting technique and combine the composition methods.In the numerical experiments,comparisons of these two kinds of methods are presented in terms of accuracy,computational cost and invariants preservation.
基金National Key Research and Development Project of China(Grant No.2018YFC1504205)National Natural Science Foundation of China(Grant No.11771213,11971242)+1 种基金Major Projects of Natural Sciences of University in Jiangsu Province of China(Grant No.18KJA110003)Priority Academic Program Development of Jiangsu Higher Education Institutions.
文摘In this paper,we systematically construct two classes of structure-preserving schemes with arbitrary order of accuracy for canonical Hamiltonian systems.The one class is the symplectic scheme,which contains two new families of parameterized symplectic schemes that are derived by basing on the generating function method and the symmetric composition method,respectively.Each member in these schemes is symplectic for any fixed parameter.A more general form of generating functions is introduced,which generalizes the three classical generating functions that are widely used to construct symplectic algorithms.The other class is a novel family of energy and quadratic invariants preserving schemes,which is devised by adjusting the parameter in parameterized symplectic schemes to guarantee energy conservation at each time step.The existence of the solutions of these schemes is verified.Numerical experiments demonstrate the theoretical analysis and conservation of the proposed schemes.
基金supported by the National Natural Science Foundation of China(Grant Nos.12171245,11971416,11971242)the Natural Science Foundation of Henan Province(No.222300420280)the Program for Scientific and Technological Innovation Talents in Universities of Henan Province(No.22HASTIT018).
文摘The main objective of this paper is to present an efficient structure-preserving scheme,which is based on the idea of the scalar auxiliary variable approach,for solving the twodimensional space-fractional nonlinear Schrodinger equation.First,we reformulate the equation as an canonical Hamiltonian system,and obtain a new equivalent system via introducing a scalar variable.Then,we construct a semi-discrete energy-preserving scheme by using the Fourier pseudo-spectral method to discretize the equivalent system in space direction.After that,applying the Crank-Nicolson method on the temporal direction gives a linearly-implicit scheme in the fully-discrete version.As expected,the proposed scheme can preserve the energy exactly and more efficient in the sense that only decoupled equations with constant coefficients need to be solved at each time step.Finally,numerical experiments are provided to demonstrate the efficiency and conservation of the scheme.
基金supported by the National Natural Science Foundation of China(Grant Nos.12171245,11971416,11971242,12301508)by the Natural Science Foundation of Henan Province(Grant No.222300420280)+1 种基金by the Natural Science Foundation of Hunan Province(Grant No.2023JJ40656)by the Scientific Research Fund of Xuchang University(Grant No.2024ZD010).
文摘In the paper,we propose a novel linearly implicit structure-preserving algorithm,which is derived by combing the invariant energy quadratization approach with the exponential time differencing method,to construct efficient and accurate time discretization scheme for a large class of Hamiltonian partial differential equations(PDEs).The proposed scheme is a linear system,and can be solved more efficient than the original energy-preserving ex-ponential integrator scheme which usually needs nonlinear iterations.Various experiments are performed to verify the conservation,efficiency and good performance at relatively large time step in long time computations.
基金supported by the National Natural Science Foundation of China(Nos.11771213,and 11961036)the Natural Science Foundation of Jiangxi Province(Nos.20161ACB20006,20142BCB23009,and 20181BAB201008).
文摘An energy-preserving scheme is proposed for the coupled Gross-Pitaevskii equations.The scheme is constructed by high order compact method in the spatial direction and average vector field method in the temporal direction,respectively.The scheme is energy-preserving,stable,and of sixth order in space and of second order in time.Numerical experiments verify the theoretical results.The dynamic behavior modeled by the coupled Gross-Pitaevskii equations is also numerically investigated.
