Thermodynamic work of partial resetting
arxiv(2024)
摘要
Partial resetting, whereby a state variable x(t) is reset to a value a x
(t), 0≤ a ≤ 1, generalizes conventional resetting by introducing the
resetting strength a as a parameter. Here such resetting processes are
studied from a thermodynamic perspective. The resetting phase of the dynamics
is implemented by a resetting potential Φ(x) that mediates the resets in
finite time. By working in a ensemble of trajectories with a fixed number of
resets, we study both the steady-state properties of the propagator and its
moments. The thermodynamic work needed to sustain this non-equilibrium steady
state is investigated. We find that different resetting traps can give rise to
mean rate of work that has widely different dependence on the resetting
strength a. Surprisingly, in the case of resets mediated by a harmonic trap
with otherwise free diffusive motion, the asymptotic rate of work is
insensitive to the value of a. For general anharmonic traps, the asymptotic
rate of work can be both increasing or decreasing as a function of the
strength, depending on the degree of anharmonicity. Counter to intuition, the
rate of work can therefore in some cases increase as the resetting becomes
weaker (a→ 1) although the work vanishes at a=1. Work in the presence of
a background potential is also considered. Numerical simulations confirm our
findings.
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