We study the nonequilibrium relaxational dynamics of a probe particle linearly coupled to a thermally fluctuating scalar field and subject to a harmonic potential, which provides a cartoon for an optically trapped colloid immersed in a fluid close to its bulk critical point. The average position of the particle initially displaced from the position of mechanical equilibrium is shown to feature long-time algebraic tails as the critical point of the field is approached, the universal exponents of which are determined in arbitrary spatial dimensions. As expected, this behavior cannot be captured by adiabatic approaches which assumes fast field relaxation. The predictions of the analytic, perturbative approach are qualitatively confirmed by numerical simulations.

Nonequilibrium relaxation of a trapped particle in a near-critical Gaussian field / Venturelli, Davide; Ferraro, Francesco; Gambassi, Andrea. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 105:5(2022). [10.1103/PhysRevE.105.054125]

Nonequilibrium relaxation of a trapped particle in a near-critical Gaussian field

Venturelli Davide;Ferraro Francesco;Gambassi Andrea
2022-01-01

Abstract

We study the nonequilibrium relaxational dynamics of a probe particle linearly coupled to a thermally fluctuating scalar field and subject to a harmonic potential, which provides a cartoon for an optically trapped colloid immersed in a fluid close to its bulk critical point. The average position of the particle initially displaced from the position of mechanical equilibrium is shown to feature long-time algebraic tails as the critical point of the field is approached, the universal exponents of which are determined in arbitrary spatial dimensions. As expected, this behavior cannot be captured by adiabatic approaches which assumes fast field relaxation. The predictions of the analytic, perturbative approach are qualitatively confirmed by numerical simulations.
2022
105
5
054125
10.1103/PhysRevE.105.054125
https://arxiv.org/abs/2203.06001
Venturelli, Davide; Ferraro, Francesco; Gambassi, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/131810
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