The role of dimensionality and geometry in quench-induced nonequilibrium forces.
| Autor: | Nejad MR; The Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford, United Kingdom., Khalilian H; School of Nano Science, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran., Rohwer CM; Department of Mathematics & Applied Mathematics, University of Cape Town, 7701 Rondebosch, Cape Town, South Africa.; Max-Planck-Institut für Intelligente Systeme, Heisenbergstr. 3, 70569 Stuttgart, Germany.; IV. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70569 Stuttgart, Germany., Moghaddam AG; Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran.; Research Center for Basic Sciences & Modern Technologies (RBST), Institute for Advanced Studies in Basic Science (IASBS), Zanjan 45137-66731, Iran. |
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| Jazyk: | angličtina |
| Zdroj: | Journal of physics. Condensed matter : an Institute of Physics journal [J Phys Condens Matter] 2021 Jul 15; Vol. 33 (37). Date of Electronic Publication: 2021 Jul 15. |
| DOI: | 10.1088/1361-648X/ac0f9c |
| Abstrakt: | 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 curved geometries depends on the dimension of the system. Specifically, 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 circles or sphere experiences an overshoot and, as a result, does not evolve to 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 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. (Creative Commons Attribution license.) |
| Databáze: | MEDLINE |
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