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Constraint dependence of average potential energy of a passive particle in an active bath
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作者 Simin Ye Peng Liu +3 位作者 Zixuan Wei Fangfu Ye Mingcheng Yang Ke Chen 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第5期32-36,共5页
We quantify the mean potential energy of a passive colloidal particle harmonically confined in a bacterial solution using optical traps.We find that the average potential energy of the passive particle depends on the ... We quantify the mean potential energy of a passive colloidal particle harmonically confined in a bacterial solution using optical traps.We find that the average potential energy of the passive particle depends on the trap stiffness,in contrast to the equilibrium case where energy partition is independent of the external constraints.The constraint dependence of the mean potential energy originates from the fact that the persistent collisions between the passive particle and the active bacteria are influenced by the particle relaxation dynamics.Our experimental results are consistent with the Brownian dynamics simulations,and confirm the recent theoretical prediction. 展开更多
关键词 constraint dependence average potential energy active bath passive tracer optical trap
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Growing Sandpile Problem with Local and Non-Local Boundaries Conditions
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作者 Urbain Traoré 《Journal of Applied Mathematics and Physics》 2021年第10期2414-2429,共16页
In this paper, we study a class of Prigozhin equation for growing sandpile problem subject to local and a non-local boundary condition. The problem is a generalized model for a growing sandpile problem with Neumann bo... In this paper, we study a class of Prigozhin equation for growing sandpile problem subject to local and a non-local boundary condition. The problem is a generalized model for a growing sandpile problem with Neumann boundary condition (see <a href="#ref1">[1]</a>). By the semi-group theory, we prove the existence and uniqueness of the solution for the model and thanks to a duality method we do the numerical analysis of the problem. We finish our work by doing numerical simulations to validate our theoretical results. 展开更多
关键词 SANDPILE COLLAPSING AVALANCHE Nonlinear Semi-Group Nonlocal Boundary Conditions Euler Discretization in Time Time Dependent Gradient constraints
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