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Statistical theory for hydrogen bonding fluid system of A a D d type (I): The geometrical phase transition

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Abstract

The influence of hydrogen bonds on the physical and chemical properties of hydrogen bonding fluid system of A a D d type is investigated from two viewpoints by the principle of statistical mechanics. In detail, we proposed two new ways that can be used to obtain the equilibrium size distribution of the hydrogen bonding clusters, and derived the analytical expression of a relationship between the hydrogen bonding free energy and hydrogen bonding degree. For the nonlinear hydrogen bonding systems, it is shown that the sol-gel phase transition can take place under proper conditions, which is further proven to be a kind of geometrical phase transition rather than a thermodynamic one. Moreover, several problems associated with the geometrical phase transition and liquid-solid phase transition in nonlinear hydrogen bonding systems are discussed.

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Authors and Affiliations

  1. College of Chemistry and Environment Science, Hebei University, Baoding, 071002, China

    Wang Haijun, Gu Fang & Ba Xinwu

  2. International Center for Materials Physics, Chinese Academy of Sciences, Shenyang, 110016, China

    Wang Haijun

  3. College of Physics Science and Technology, Hebei University, Baoding, 071002, China

    Hong Xiaozhong

Authors
  1. Wang Haijun
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  2. Hong Xiaozhong
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  3. Gu Fang
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  4. Ba Xinwu
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Correspondence to Wang Haijun.

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Wang, H., Hong, X., Gu, F. et al. Statistical theory for hydrogen bonding fluid system of A a D d type (I): The geometrical phase transition. SCI CHINA SER B 49, 499–506 (2006). https://doi.org/10.1007/s11426-006-2034-5

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  • DOI: https://doi.org/10.1007/s11426-006-2034-5

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