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Mode-coupling Theory for Glass Transition of Active-passive Binary Mixture
Zhonghuai Hou
Author NameAffiliationE-mail
Zhonghuai Hou Department of Chemical Physics & Hefei National Laboratory for Physical Sciences at Microscales, iChEM, University of Science and Technology of China hzhlj@ustc.edu.cn 
Abstract:
Collective behaviours of active particle systems have gained great research attentions in recent years. Here we present a mode-coupling theory (MCT) framework to study the glass transition of a mixture system of active and passive Brownian particles. The starting point is an eective Smoluchowski equation, which governs the dynamics of the probability distribution function in the position phase space. With the assumption of the existence of a nonequilibrium steady state, we are able to obtain dynamic equations for the intermediate scattering functions (ISFs), wherein an irreducible memory function is introduced which in turn can be written as functions of the ISFs based on standard mode-coupling approximations. The eect of particle activity is included through an eective diusion coecient which can be obtained via short time simulations. By calculating the long-time limit of the ISF, the Debye-Waller (DW) factor, one can determine the critical packing fraction c of glass transition. We nd that for active-passive (AP) mixtures with the same particle sizes, c increases as the partial fraction xA of active particle increases which is in agreement with previous simulation works. For system with dierent active/passive particle sizes, we nd an interesting reentrance behaviour of glass transition, i.e., c shows a non-monotonic dependence on xA. In addition, such a reentrance behaviour would disappear if the particle activity is large enough. Our results thus provide a useful theoretical scheme to study glass transition behaviour of active-passive mixture systems in a promising way.
Key words:  glass transition, mode-coupling theory, active particles, active-passive particle mixture
FundProject:
Mode-coupling Theory for Glass Transition of Active-passive Binary Mixture
Z. Hou
摘要:
Collective behaviours of active particle systems have gained great research attentions in recent years. Here we present a mode-coupling theory (MCT) framework to study the glass transition of a mixture system of active and passive Brownian particles. The starting point is an eective Smoluchowski equation, which governs the dynamics of the probability distribution function in the position phase space. With the assumption of the existence of a nonequilibrium steady state, we are able to obtain dynamic equations for the intermediate scattering functions (ISFs), wherein an irreducible memory function is introduced which in turn can be written as functions of the ISFs based on standard mode-coupling approximations. The eect of particle activity is included through an eective diusion coecient which can be obtained via short time simulations. By calculating the long-time limit of the ISF, the Debye-Waller (DW) factor, one can determine the critical packing fraction c of glass transition. We nd that for active-passive (AP) mixtures with the same particle sizes, c increases as the partial fraction xA of active particle increases which is in agreement with previous simulation works. For system with dierent active/passive particle sizes, we nd an interesting reentrance behaviour of glass transition, i.e., c shows a non-monotonic dependence on xA. In addition, such a reentrance behaviour would disappear if the particle activity is large enough. Our results thus provide a useful theoretical scheme to study glass transition behaviour of active-passive mixture systems in a promising way.
关键词:  glass transition, mode-coupling theory, active particles, active-passive particle mixture
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