Entropy growth during free expansion of an ideal gas

Chakraborti, Subhadip; Dhar, Abhishek; Goldstein, Sheldon; Kundu, Anupam; Lebowitz, Joel L.

doi:10.48550/arxiv.2109.07742

Cited by 5 publications

(7 citation statements)

References 40 publications

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“…( 17)), is not a necessity but is customarily used to smooth out the finite-N fluctuations. At large enough N the same behaviour is obtained from instantaneous configurations, as pointed out also in a recent paper on the thermodynamic behaviour of an ideal gas [26].…”

Section: Random Modes Thermalizationsupporting

confidence: 77%

Thermalization without chaos in harmonic systems

Cocciaglia

Vulpiani

Gradenigo

2022

Physica A: Statistical Mechanics and its Applications

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Section: Random Modes Thermalizationsupporting

confidence: 77%

Thermalization without chaos in harmonic systems

Cocciaglia

Vulpiani

Gradenigo

2022

Physica A: Statistical Mechanics and its Applications

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“…Such negative rates occur in situations, in which the external driving is too fast for the system to react, and hence the response lacks behind the overall dynamics. Similar observations have been reported in, e.g., viscoelastic fluids under oscillatory driving [6] and in freely expanding ideal gases [7]. Interestingly, negative entropy production rates in open systems undergoing non-Markovian dynamics are somewhat commonplace [8][9][10][11][12].…”

Section: Introductionsupporting

confidence: 80%

“…where Φ ij (t) denotes the response function [40]. Equation (7) describes possible memory effects since current and electric field are not evaluated at the same instant of time [40,41]. Combining Eq.…”

Section: Introductionmentioning

confidence: 99%

Fluctuation theorem for irreversible entropy production in electrical conduction

Bonança,

Deffner

2021

Preprint

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Linear, irreversible thermodynamics predicts that the entropy production rate can become negative. We demonstrate this prediction for metals under AC-driving whose conductivity is welldescribed by the Drude-Sommerfeld model. We then show that these negative rates are fully compatible with stochastic thermodynamics, namely, that the entropy production does fulfill a fluctuation theorem. The analysis is concluded with the observation that the stochastic entropy production as defined by the surprisal or ignorance of the Shannon information does not agree with the phenomenological approach.

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“…They do not depend on any specific short-time or microscopic features. The idea that hydrodynamics is a useful concept beyond its conventional field of applications, for instance not requiring chaos, has come to the fore with the recent development of generalised hydrodynamics for integrable systems [21][22][23][24], and ties in with the idea that thermodynamic concepts should not rely on short-time behaviours, as emphasised recently in [25]. However, rigorous results about many-body dynamics, especially of such generality, are notoriously difficult to obtain.…”

Section: Ergodicity (2)mentioning

confidence: 99%

“…We are grateful to Berislav Buça and Olalla Castro Alvaredo for insightful comments and a current collaboration on related aspects. We also thank Abhishek Dhar for sharing a draft of [25] and for related discussions on ergodicity. BD is supported by EP-SRC under the grant "Emergence of hydrodynamics in many-body systems: new rigorous avenues from functional analysis", ref.…”

mentioning

confidence: 99%

Long-time dynamics in quantum spin lattices: ergodicity and hydrodynamic projections at all frequencies and wavelengths

Ampelogiannis¹,

Doyon²

2021

Preprint

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Obtaining rigorous and general results about the quantum dynamics of extended many-body systems is a difficult task. Given the panoply of phenomena that can be observed and are being investigated, it is crucial to delineate the boundaries of what is possible. In quantum lattice models, the Lieb-Robinson (LR) bound tells us that the spatial extent of operators grows at most linearly in time. But what happens within this light-cone? We obtain a universal form of ergodicity showing that operators get "thinner" almost everywhere within the light-cone. This includes what we believe is the first general result about decay of correlation functions within the LR light-cone, and is applicable to any locally interacting system in space-time translation invariant spatially mixing states. This weak notion of ergodicity is sufficient to prove a universal Boltzmann-Gibbs principle in all such systems: the projection of observables onto hydrodynamic modes at long times in correlation functions. In particular, we give an accurate formal definition of the complete space of hydrodynamic modes. This accounts for all types of dynamics, integrable or not. A surprising outcome, using Hilbert spaces of observables, is the realisation that all rigorous results, including hydrodynamic projections, are generalisable to arbitrary frequencies and wavelengths. This extends the concept of dynamical symmetries studied recently, and opens the door to the use of hydrodynamics to address oscillating behaviours at long times. We illustrate this by explaining the oscillatory algebraic decay of free fermion correlation functions using oscillatory hydrodynamic projections.

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Entropy growth during free expansion of an ideal gas

Cited by 5 publications

References 40 publications

Thermalization without chaos in harmonic systems

Thermalization without chaos in harmonic systems

Fluctuation theorem for irreversible entropy production in electrical conduction

Long-time dynamics in quantum spin lattices: ergodicity and hydrodynamic projections at all frequencies and wavelengths

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