Brownian motors are nano-scale or molecular devices by which thermally activated processes (chemical reactions) are controlled and used to generate directed motion in space and to do mechanical or electrical work. These tiny engines operate in an environment where viscosity dominates inertia, and where thermal noise makes moving in a specific direction as difficult as walking in a hurricane: the forces impelling these motors in the desired direction are minuscule in comparison with the random forces exerted by the environment. Because this type of motor is so strongly dependent on random thermal noise, Brownian motors are feasible only at the nanometer scale.
The term "Brownian motor" was originally coined by Peter Hänggi in 1995: A distinct feature of a Brownian motor is—in contrast to a molecular motor—that the output response is typically coupled only loosely to the input perturbation and action of fluctuations; see in Hänggi, Peter; Marchesoni, Fabio (2009). "Artificial Brownian motors: Controlling transport on the nanoscale" (PDF). Reviews of Modern Physics 81 (1): 387. arXiv:0807.1283. Bibcode:2009RvMP...81..387H. doi:10.1103/RevModPhys.81.387..
In biology, many protein-based molecular motors in the cell may in fact be Brownian motors. These molecular motors convert the chemical energy present in ATP into mechanical energy. One example of a Brownian motor would be an ATPase motor that hydrolyzes ATP to generate fluctuating anisotropic energetic potentials. The anisotropic potentials along the path would bias the motion of a particle (like an ion or polypeptide); the result would essentially be diffusion of a particle whose net motion is strongly biased in one direction. The translocation of the particle would only be loosely coupled to hydrolysis of ATP.
The dynamics and activity of Brownian motors are current topics of study in theoretical and experimental biophysics. Brownian motors are sometimes modeled using the Fokker-Planck equation or with Monte Carlo methods. Many researchers are presently engaged in understanding how molecular-scale motors operate in environments with non-negligible thermal noise. The thermodynamics of such motors is constrained by the ramifications of the Fluctuation Theorems, Pumping Quantization Theorems, and Pumping-Restriction Theorems.
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- Hänggi, P.; Marchesoni, F.; Nori, F. (2005). "Brownian Motors" (PDF). Annalen der Physik 14 (1-3): 51–70. arXiv:cond-mat/0410033. Bibcode:2005AnP...517...51H. doi:10.1002/andp.200410121.
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- Lukasz Machura: Performance of Brownian Motors. University of Augsburg, 2006 (PDF)
- Brownian motor on arxiv.org
- Hänggi, Peter; Marchesoni, Fabio (2009). "Artificial Brownian motors: Controlling transport on the nanoscale" (PDF). Reviews of Modern Physics 81 (1): 387. arXiv:0807.1283. Bibcode:2009RvMP...81..387H. doi:10.1103/RevModPhys.81.387.
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