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Melting in Two-dimensional Yukawa Systems

Author: ZhaoXiaoYing
Tutor: ChenYong
School: Lanzhou University
Course: Theoretical Physics
Keywords: KTHNY theory H -state Coexistence Yukawa system
CLC: O414.13
Type: Master's thesis
Year: 2011
Downloads: 3
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Abstract


In this paper, Brownian dynamics simulations of two-dimensional the Yukawa colloidal crystals melting process . First , it introduces the basic concepts and research status of two-dimensional gel phase transition . About two-dimensional phase becomes a well-known theory of the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory , the theory is that melting of the two-dimensional system is divided into two steps continuous phase transition , through a so-called hexatic state ( in the middle referred to as the H -state) . In recent years , a large number of experiments and computer simulations show that indeed there is a two-step melting process in the two - dimensional system . However , Chui proposed theory is that the grain boundary - induced phase transition is a first order phase transition . Then, given our models and simulation results . We found in the simulation phase , at the same time we also found that the the Yukawa system 's melting is a phase transition with KTHNY theory deviates from a stable H . We find the H state and isotropic liquid coexistence region . The behavior of the topological defects in the coexistence region is very complex. Some unstable free disclination and the emergence of the grain boundary is the typical characteristics of the liquid phase , while the free dislocations appear represents the presence of the H-phase . This suggests that the presence of H state and isotropic liquid coexistence phase . In short, the dimensional Yukawa system melt image is : a first step, the system due to the formation of the free dislocations occurs the phase change , and then subjected to an intermediate coexistence state , and finally become isotropic liquid . Finally, we summarize the main content of this paper and proposed further work . The particles of the above model is all the same , but the size of the actual colloid particles and the charge of each other there is a difference . That is, the analog may further consider the effects caused by multi - particle size and the polydispersity of the electric charge .

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Thermodynamics and Statistical Physics > Thermodynamics > Phase transition
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