Heat fluctuations in the logarithm-harmonic potential

Paraguassú, Pedro V.; Morgado, Welles A. M.

doi:10.1016/j.physa.2021.126576

Cited by 10 publications

(10 citation statements)

References 40 publications

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“…Other effects on the heat distribution for Brownian particles, e.g. nonlinear potentials [44][45][46], inertia [47][48][49][50][51], relativistic motion [52], and non-isothermal transformations [53], have also been addressed theoretically. Furthermore, heat fluctuations have been studied for active matter systems, such as active chains in viscous heat baths [54], Brownian particles embedded in active media [55,56], and activity-driven harmonic chains [57].…”

Section: Introductionmentioning

confidence: 99%

Stochastic energetics of a colloidal particle trapped in a viscoelastic bath

Darabi,

Ferrer,

Gomez-Solano

2023

New J. Phys.

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We investigate the statistics of the fluctuations of the energy transfer between an overdamped Brownian particle, whose motion is confined by a stationary harmonic potential, and a surrounding viscoelastic fluid at constant temperature. We derive an analytical expression for the probability density function of the energy exchanged with the fluid over a finite time interval, which implicitly involves the friction memory kernel that encodes the coupling with such a non-Markovian environment, and reduces to the well known expression for the heat distribution in a viscous fluid. We show that, while the odd moments of this distribution are zero, the even moments can be explicitly expressed in terms of the autocorrelation function of the particle position, which generally exhibits a non-mono-exponential decay when the fluid bath is viscoelastic. Our results are verified by experimental measurements for an optically-trapped colloidal bead in semidilute micellar and polymer solutions, finding and excellent agreement for all time intervals over which the energy exchange takes place.

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Section: Introductionmentioning

confidence: 99%

Stochastic energetics of a colloidal particle trapped in a viscoelastic bath

Darabi,

Ferrer,

Gomez-Solano

2023

New J. Phys.

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“…With the advent of experimentally accessing ever smaller systems, the role of fluctuations-negligible in canonical thermodynamics-has gained prominence and enhanced the probabilistic quantification of these systems [5][6][7][8][9][10][11]. Therefrom, previously assumed impossible events, viz the so-called 'free-lunches' (or rare events) [12][13][14], were shown to be necessary.…”

Section: Introductionmentioning

confidence: 99%

Probabilities for informational free lunches in stochastic thermodynamics

Paraguassú¹,

Defaveri²,

Queirós³

et al. 2022

J. Stat. Mech.

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By considering an explicit nonequilibrium model, we analyze the statistics of the irreversible work, w irr, and the irreversible entropy production, Δ i s, within the stochastic energetics framework. Restating the second law of thermodynamics as a function of w irr, we introduce the explicit probability of violating the canonical form of that second law for a different set of parameters and initial conditions of the model. Moreover, we study the irreversible entropy production along the same lines, since it can be cast as a generalization of the irreversible work. From an informational perspective, our result allows one to quantify the probability of deleting information without performing work, contrarily to the Landauer’s principle, which we classify as an informational free lunch. We chose for the initial conditions cases of low information content (equilibrium) and high information content (delta distributed).

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“…Considere a equação de Langevin genérica ẋ = F (x) + σζ(t), (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16) onde σ é uma constante, e ζ(t) é um ruído branco Gaussiano branco, que satisfaz ⟨ζ(t)⟩ = 0 e ⟨ζ(t)ζ(t ′ )⟩ = δ(t − t ′ ). O algorítimo consiste em fornecer um valor inicial x(0), fornecer a variável aleatória ζ(t) e calcular o incremento ∆x(0) = F (x(0)) + σζ(0), (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17) de tal forma que, o próximo instante de tempo, h, vai ser dado por…”

Section: Simulação Numéricaunclassified

“…Portanto, para compreender essa quantidade, é necessário investigar seu comportamento estatístico. Muitas investigações foram realizadas nessa direção, tanto teóricas [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] quanto experimentais [3,[32][33][34]. A presente tese apresenta resultados que expandem a lista de sistemas estudados na termodinâmica estocástica, contribuindo para uma melhor compreensão do calor nos sistemas em que a termodinâmica estocástica se ocupa em investigar.…”

Section: Introductionunclassified

“…No capítulo seis, apresentamos os resultados obtidos sobre as investigações do calor para os diversos sistemas já mencionados. Os resultados apresentados nos capítulos cinco e seis foram publicados em [16,17,35,47,48] 1 . Finalizamos com uma conclusão e incluímos no apêndice todas as derivações via integral de caminho e Fokker-Planck utilizadas para se obter os resultados.…”

Section: Introductionunclassified

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Explorando O Calor Na Termodinâmica Estocástica

VENTURA PARAGUASSU

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Na Termodinâmica estocástica, o calor é uma variável aleatória que flutua estatisticamente e, portanto, precisa ser investigada por meio de métodos estatísticos. Para compreender essa quantidade, a investigamos em diversos sistemas, como superamortecidos, subamortecidos, não-lineares, isotérmicos e não-isotérmicos. Os resultados aqui obtidos podem ser divididos em duas contribuições: a caracterização das distribuições de calor e dos momentos para diferentes sistemas, e a correção da fórmula do calor para sistemas superamortecidos, onde descobrimos a necessidade de incluir a energia cinética, que era previamente ignorada na literatura. Esta tese tem como foco a compreensão do calor, quantidade fundamental na termodinâmica estocástica.

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Heat fluctuations in the logarithm-harmonic potential

Cited by 10 publications

References 40 publications

Stochastic energetics of a colloidal particle trapped in a viscoelastic bath

Stochastic energetics of a colloidal particle trapped in a viscoelastic bath

Probabilities for informational free lunches in stochastic thermodynamics

Explorando O Calor Na Termodinâmica Estocástica

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