The role of dimensionality and geometry in quench-induced nonequilibrium forces
arxiv(2020)
摘要
We present an analytical formalism, supported by numerical simulations, for
studying forces that act on curved walls following temperature quenches of the
surrounding ideal Brownian fluid. We show that, for curved surfaces, the
post-quench forces initially evolve rapidly to an extremal value, whereafter
they approach their steady state value algebraically in time. In contrast to
the previously-studied case of flat boundaries (lines or planes), the algebraic
decay for the curved geometries depends on the dimension of the system.
Specifically, the steady-state values of the force are approached in time as
t^-d/2 in d-dimensional spherical (curved) geometries. For systems
consisting of concentric circles or spheres, the exponent does not change for
the force on the outer circle or sphere. However, the force exerted on the
inner circle or sphere experiences an overshoot and, as a result, does not
evolve towards the steady state in a simple algebraic manner. The extremal
value of the force also depends on the dimension of the system, and originates
from the curved boundaries and the fact that particles inside a sphere or
circle are locally more confined, and diffuse less freely than particles
outside the circle or sphere.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要