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热扰动对热力学系统的影响 被引量:1
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作者 刘协祯 《南京大学学报(自然科学版)》 CAS CSCD 1993年第2期234-240,共7页
本文主要讨论热微扰对热力学系统的影响。从刘维方程出发,运用统计物理中局域平衡的方法导出热力学系统对热微扰的响应的普遍适用的关系式,及涨落耗散定理,并应用于具体的耗散过程,得到正确的结果。
关键词 热微扰 涨落耗散定理 热力学系统
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Lagrangian simulation of multi-step and rate-limited chemical reactions in multi-dimensional porous media
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作者 Bing-qing Lu Yong Zhang +1 位作者 Hong-guang Sun Chun-miao Zheng 《Water Science and Engineering》 EI CAS CSCD 2018年第2期101-113,共13页
Management of groundwater resources and remediation of groundwater pollution require reliable quantification of contaminant dynamics in natural aquifers, which can involve complex chemical dynamics and challenge tradi... Management of groundwater resources and remediation of groundwater pollution require reliable quantification of contaminant dynamics in natural aquifers, which can involve complex chemical dynamics and challenge traditional modeling approaches. The kinetics of chemical reactions in groundwater are well known to be controlled by medium heterogeneity and reactant mixing, motivating the development of particle-based Lagrangian approaches. Previous Lagrangian solvers have been limited to fundamental bimolecular reactions in typically one-dimensional porous media. In contrast to other existing studies, this study developed a fully Lagrangian framework, which was used to simulate diffusion-controlled, multi-step reactions in one-, two-, and three-dimensional porous media. The interaction radius of a reactant molecule, which controls the probability of reaction, was derived by the agent-based approach for both irreversible and reversible reactions. A flexible particle tracking scheme was then developed to build trajectories for particles undergoing mixing-limited, multi-step reactions. The simulated particle dynamics were checked against the kinetics for diffusion-controlled reactions and thermodynamic wellmixed reactions in one-and two-dimensional domains. Applicability of the novel simulator was further tested by(1) simulating precipitation of calcium carbonate minerals in a two-dimensional medium, and(2) quantifying multi-step chemical reactions observed in the laboratory. The flexibility of the Lagrangian simulator allows further refinement to capture complex transport affecting chemical mixing and hence reactions. 展开更多
关键词 LAGRANGIAN framework chemical reaction diffusion-limited process MULTI-STEP reactions Interaction RADIUS
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