The stochastic thermodynamics of a rotating Brownian particle in a gradient flow.
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We compute the entropy production engendered in the environment from a single Brownian particle which moves in a gradient flow, and show that it corresponds in expectation to classical near-equilibrium entropy production in the surrounding fluid with specific mesoscopic transport coefficients.With temperature gradient, extra terms are found which result from the nonlinear interaction between the particle and the non-equilibrated environment.The calculations are based on the fluctuation relations which relate entropy production to the probabilities of stochastic paths and carried out in a multi-time formalism.
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Affiliation: 1] The Department of Physics Tsinghua University, 100084 Beijing, China [2] Collaborative Innovation Center of Quantum Matter, Beijing 100084, China.
ABSTRACT
We compute the entropy production engendered in the environment from a single Brownian particle which moves in a gradient flow, and show that it corresponds in expectation to classical near-equilibrium entropy production in the surrounding fluid with specific mesoscopic transport coefficients. With temperature gradient, extra terms are found which result from the nonlinear interaction between the particle and the non-equilibrated environment. The calculations are based on the fluctuation relations which relate entropy production to the probabilities of stochastic paths and carried out in a multi-time formalism. No MeSH data available. Related in: MedlinePlus |
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Mentions: In Fig. 1(a), a simple experimental setup is depicted which may be used to measure entropy production of Brownian particles in a gradient flow with temperature variation. The whole setup is rotationally symmetric with the inner radius R1 = 500 μm and the outer radius R2 = 1000 μm. Below, we use dimensionless quantities to represent our physical variables (See the previous discussion about scales of various variables. A more detailed explanation is included in the Supplementary Information.). For example, the radius of the particle is 1 which is used as the length scale and is 1 μm physically. The time scale is taken to be tu ~ 10−3 s. With this convention, in water, the rescaled translational friction coefficient is γ = 4.53 × 103 and the rotational one γ2 = 1.51 × 104. The flow is incompressible and irrotational with a profile and temperature T = 1/(k2r + t2), where k1 = 2000 and k2 = 1/2000, t2 = 0.5. With this setup, Eq. (12) gives |
View Article: PubMed Central - PubMed
Affiliation: 1] The Department of Physics Tsinghua University, 100084 Beijing, China [2] Collaborative Innovation Center of Quantum Matter, Beijing 100084, China.
No MeSH data available.