https://doi.org/10.1140/epjp/s13360-025-07211-1
Regular Article
Mass separation of brownian particles via multi-parameter dynamic regulation
Faculty of Science, Kunming University of Science and Technology, 650093, Kunming, People’s Republic of China
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Received:
6
November
2025
Accepted:
15
December
2025
Published online:
25
December
2025
Abstract
Controlled separation of microscopic particles in mixtures is in high demand for biological research and industrial applications, and traditional methods, which often rely on particle size, have inherent limitations. We consider an inertial Brownian particle moving in an oscillating potential and subjected to unbiased time-periodic forces and constant static forces. In the process, we find an effective mass separation mechanism that is based on the anomalous transport characteristics of negative migration, where particles of a specific mass move in a direction opposite to the hydrostatic force. We establish a multi-parameter regulation system containing driving frequency, particle mass, hydrostatic force and amplitude to utilize the negative migration effect for effective mass separation of Brownian particles, in addition, we explore the effect of stochastic resetting rate on the particle mass separation mechanism and reveal the regulation law of multiple parameters on the optimal separation mass. This study provides new theoretical guidance for microfluidic particle and biomolecule separation.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

