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The stochastic thermodynamics of a rotating Brownian particle in a gradient flow.

Lan Y, Aurell E - Sci Rep (2015)

Bottom Line: 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.

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.

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

Entropy production of a spherical Brownian particle in a temperature gradient.(a) a box filled with water with the hot (red) and cold (blue) plate aligned in the y-direction; (b) entropy contribution of different terms of Eq. (19) with increasing temperature gradient k2 resulting from the translational motion (dashed line) indicated by γ in the equation and the rotational motion (dot-dashed line) indicated by γ2, two contribution combined (solid line).
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f2: Entropy production of a spherical Brownian particle in a temperature gradient.(a) a box filled with water with the hot (red) and cold (blue) plate aligned in the y-direction; (b) entropy contribution of different terms of Eq. (19) with increasing temperature gradient k2 resulting from the translational motion (dashed line) indicated by γ in the equation and the rotational motion (dot-dashed line) indicated by γ2, two contribution combined (solid line).

Mentions: In Fig. 2(a), a simple setup is used to explain a possible application of Eq. (18) where a box filled with water is in contact with two heating plate along the y-direction sitting at y = 0 and y = 1000 μm. As a result, a temperature gradient is established T = k2y + t2 with t2 = 283 K. As previously, a Brownian particle of radius 1 μm will produce an anomalous heat dissipation


The stochastic thermodynamics of a rotating Brownian particle in a gradient flow.

Lan Y, Aurell E - Sci Rep (2015)

Entropy production of a spherical Brownian particle in a temperature gradient.(a) a box filled with water with the hot (red) and cold (blue) plate aligned in the y-direction; (b) entropy contribution of different terms of Eq. (19) with increasing temperature gradient k2 resulting from the translational motion (dashed line) indicated by γ in the equation and the rotational motion (dot-dashed line) indicated by γ2, two contribution combined (solid line).
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4508657&req=5

f2: Entropy production of a spherical Brownian particle in a temperature gradient.(a) a box filled with water with the hot (red) and cold (blue) plate aligned in the y-direction; (b) entropy contribution of different terms of Eq. (19) with increasing temperature gradient k2 resulting from the translational motion (dashed line) indicated by γ in the equation and the rotational motion (dot-dashed line) indicated by γ2, two contribution combined (solid line).
Mentions: In Fig. 2(a), a simple setup is used to explain a possible application of Eq. (18) where a box filled with water is in contact with two heating plate along the y-direction sitting at y = 0 and y = 1000 μm. As a result, a temperature gradient is established T = k2y + t2 with t2 = 283 K. As previously, a Brownian particle of radius 1 μm will produce an anomalous heat dissipation

Bottom Line: 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.

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.

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