A solid electrolyte interphase(SEI)with a robust mechanical property and a high ionic conductivity is imperative for high-performance zinc metal batteries.However,it is difficult to form such a SEI directly from an el...A solid electrolyte interphase(SEI)with a robust mechanical property and a high ionic conductivity is imperative for high-performance zinc metal batteries.However,it is difficult to form such a SEI directly from an electrolyte.In this work,a molecular crowding effect is based on the introduction of Zn(OTF)_(2)and Zn(ClO_(4))_(2)to 2 mol/L ZnSO_(4)electrolytes.Simulations and experiments indicate that the Zn(OTF)_(2)and Zn(ClO_(4))_(2)not only create a molecularly crowded electrolyte environment to promote the interaction of Zn^(2+)and OTF^(-),but also participate in the reduction to construct a robust and high ionic-conductive SEI,thus promoting metal zinc deposition to the(002)crystal surface.With this molecular crowding electrolyte,a high current density of 1 mA/cm^(2)can be obtained by assembling symmetric batteries with Zn as the anode for over 1000 h.And in a temperature environment of-10℃,a current density of 1 mA/cm^(2)can be obtained by assembling symmetric batteries with Zn for over 200 h.Zn//Bi_(2)S_(3)/VS4@C cells achieve a CE rate of up to 99.81%over 1000 cycles.Hence,the utilization of a molecular crowding electrolyte is deemed a highly effective approach to fabricating a sophisticated SEI for a zinc anode.展开更多
We study a dynamic pricing problem of a firm facing stochastic reference price effect.Randomness is incorporated in the formation of reference prices to capture either consumers’heterogeneity or exogenous factors tha...We study a dynamic pricing problem of a firm facing stochastic reference price effect.Randomness is incorporated in the formation of reference prices to capture either consumers’heterogeneity or exogenous factors that affect consumers’memory processes.We apply the stochastic optimal control theory to the problem and derive an explicit expression for the optimal pricing strategy.The explicit expression allows us to obtain the distribution of the steady-state reference price.We compare the expected steadystate reference price to the steady-state reference price in a model with deterministic reference price effect,and we find that the former one is always higher.Our numerical study shows that the two steady-state reference prices can have opposite sensitivity to the problem parameters and the relative difference between the two can be very significant.展开更多
基金supported by Jilin Provincial Natural Fund(No.20230101205JC)Chongqing Natural Science Foundation(Nos.cstc2022jcyj-msxmX0184 and CSTB2022NSCQ-MSX0241)the International Cooperation Foundation(No.20220402026GH)of Science and Technology Department of Jilin Province。
文摘A solid electrolyte interphase(SEI)with a robust mechanical property and a high ionic conductivity is imperative for high-performance zinc metal batteries.However,it is difficult to form such a SEI directly from an electrolyte.In this work,a molecular crowding effect is based on the introduction of Zn(OTF)_(2)and Zn(ClO_(4))_(2)to 2 mol/L ZnSO_(4)electrolytes.Simulations and experiments indicate that the Zn(OTF)_(2)and Zn(ClO_(4))_(2)not only create a molecularly crowded electrolyte environment to promote the interaction of Zn^(2+)and OTF^(-),but also participate in the reduction to construct a robust and high ionic-conductive SEI,thus promoting metal zinc deposition to the(002)crystal surface.With this molecular crowding electrolyte,a high current density of 1 mA/cm^(2)can be obtained by assembling symmetric batteries with Zn as the anode for over 1000 h.And in a temperature environment of-10℃,a current density of 1 mA/cm^(2)can be obtained by assembling symmetric batteries with Zn for over 200 h.Zn//Bi_(2)S_(3)/VS4@C cells achieve a CE rate of up to 99.81%over 1000 cycles.Hence,the utilization of a molecular crowding electrolyte is deemed a highly effective approach to fabricating a sophisticated SEI for a zinc anode.
基金This research is partly supported by the National Science Foundation(Nos.CMMI-1030923,CMMI-1363261,CMMI-1538451 and CMMI-1635160)the National Natural Science Foundation of China(Nos.71228203,71201066 and 71520107001)research Grant of National University of Singapore(Project R-314-000-105-133).
文摘We study a dynamic pricing problem of a firm facing stochastic reference price effect.Randomness is incorporated in the formation of reference prices to capture either consumers’heterogeneity or exogenous factors that affect consumers’memory processes.We apply the stochastic optimal control theory to the problem and derive an explicit expression for the optimal pricing strategy.The explicit expression allows us to obtain the distribution of the steady-state reference price.We compare the expected steadystate reference price to the steady-state reference price in a model with deterministic reference price effect,and we find that the former one is always higher.Our numerical study shows that the two steady-state reference prices can have opposite sensitivity to the problem parameters and the relative difference between the two can be very significant.
