Heat fluctuation of a harmonically trapped particle in an active bath

Goswami, Koushik

doi:10.1103/physreve.99.012112

Cited by 33 publications

(27 citation statements)

References 31 publications

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“…By considering the kinetic terms, some theoretical works might need to be revisited. Mainly, the works on the fluctuations of the heat in the isothermal process [11][12][13][14][15][16] might need to be adjusted to include the kinetic term. Moreover, some results in harmonic thermal machines need to be reviewed to properly calculate the fluctuations of the efficiency of such machines.…”

Section: Discussionmentioning

confidence: 99%

“…Namely, quantities like heat and work now become fluctuating quantities. A lot of attention was devoted to obtaining the probability distribution for these thermodynamic functionals, with experimental [7][8][9][10] and theoretical [11][12][13][14][15][16][17] calculations. This microscale thermodynamics is now a proper field of research, that is now called stochastic thermodynamics [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

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Heat has a kinetic term in overdamped stochastic thermodynamics

Paraguassú,

Aquino,

Morgado

2022

Preprint

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In the derivation of the thermodynamics of overdamped systems, one ignores the kinetic term contribution, since the velocity is a slow variable to the forces. In this paper, we show that the kinetic term needs to be present in the calculation of the heat distribution in order to have a correct correspondence between the underdamped and overdamped cases, meaning that the velocity can not be fully ignored in the thermodynamics of these systems. We emphasize the result for two different systems, the harmonic potential, and the logarithm potential.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Heat has a kinetic term in overdamped stochastic thermodynamics

Paraguassú,

Aquino,

Morgado

2022

Preprint

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“…It is worth mentioning here that the OUP model can also be adapted to describe the dynamics of passive particles immersed in a bath containing active particles, e.g., see Refs. [7][8][9][10][11]. The above description is well suited for the diffusion in an environment where the diffusivity of the particle remains unchanged over the time, or in other words, the particle moves in a homogeneous environment.…”

Section: Introductionmentioning

confidence: 99%

Motion of an active particle with dynamical disorder

Goswami,

Chakrabarti

2021

Preprint

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We propose a model for the motion of a single active particle in a heterogeneous environment where the heterogeneity may arise due to the crowding, conformational fluctuations and/or slow rearrangement of the surroundings. Describing the active particle in terms of the Ornstein-Uhlenbeck process (OUP) and incorporating the heterogeneity in the thermal bath using the two separate models, namely "diffusing diffusivity" and "switching diffusion", we explore the essential dynamical properties of the particle for its one-dimensional motion.In addition, we show how the dynamical behavior is controlled by two timescales, namely diffusive time and persistence time. Our model is relevant in the context of single particle dynamics in crowded environment, driven by activity.

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“…Evidently, when a passive molecule such as colloid or polymer is immersed in a bath containing active particles, the molecule behaves differently from a thermal (or equilibrium) bath [8][9][10]. Apart from the thermal noise, it experiences additional nonequilibrium fluctuations (active noise) which drives the system away from equilibrium [10][11][12][13][14][15][16][17]. The peculiarities of its dynamics are often encoded in its distribution function which, in some cases, is found to be non-Gaussian in nature [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

“…If the system does not have any memory effect, or roughly speaking, the dynamics is Fickian, not necessarily, one should invoke a finite correlation time in the noise statistics to describe it . Sometimes memoryless fluctuations can render an out-of-equilibrium state [15,17,[25][26][27][28]. For this matter, the Poissonian shot noise is an ideal choice for characterization of an athermal bath to study Markovian, non-Gaussian dynamics [9,29].…”

Section: Introductionmentioning

confidence: 99%

Stochastic resetting and first arrival subjected to Gaussian noise and Poisson white noise

Goswami,

Chakrabarti

2021

Preprint

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We study the dynamics of an overdamped Brownian particle subjected to Poissonian stochastic resetting in a nonthermal bath, characterized by a Poisson white noise and a Gaussian noise. Applying the renewal theory we find an exact analytical expression for the spatial distribution at the steady state. Unlike the single exponential distribution as observed in the case of a purely thermal bath, the distribution is double exponential. Relaxation of the transient spatial distributions to the stationary one, for the limiting cases of Poissonian rate, is investigated carefully. In addition, we study the first-arrival properties of the system in the presence of a delta-function sink with strength κ, where κ = 0 and κ = ∞ correspond to fully nonreactive and fully reactive sinks, respectively. We explore the effect of two competitive mechanisms: the diffusive spread in the presence of two noises and the increase in probability density around the initial position due to stochastic resetting. We show that there exists an optimal resetting rate, which minimizes the mean first-arrival time (MFAT) to the sink for a given value of the sink strength. We also explore the effect of the strength of the Poissonian noise on MFAT, in addition to sink strength. Our formalism generalizes the diffusion-limited reaction under resetting in a nonequilibrium bath and provides an efficient search strategy for a reactant to find a target site, relevant in a range of biophysical processes

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Heat fluctuation of a harmonically trapped particle in an active bath

Cited by 33 publications

References 31 publications

Heat has a kinetic term in overdamped stochastic thermodynamics

Heat has a kinetic term in overdamped stochastic thermodynamics

Motion of an active particle with dynamical disorder

Stochastic resetting and first arrival subjected to Gaussian noise and Poisson white noise

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