Contrasting Work Fluctuations and Distributions in Systems with Short-Range and Long-Range Correlations

Kirkpatrick, T. R.; Bhattacherjee, J. K.; Sengers, J. V.

doi:10.1103/physrevlett.119.030603

Cited by 2 publications

(7 citation statements)

References 26 publications

(35 reference statements)

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“…What was clarified in Ref. [23] was the fact that long-ranged correlations , whether coming from NESS in driven fluids or from Goldstone modes in ferromagnets at low temperatures, have the ability to set the scale of the work probability distribution to much lower values and thus provide a much broader distribution. For…”

Section: Discussionmentioning

confidence: 99%

“…(4.16) which in turn merges with the small W tail ( as also the large W tail) in the appropriate limit. Given this, if we write the work probability distribution as in exact accordance with what was reported in Ref[23] and obtained in Eq. (4.21 ).…”

mentioning

confidence: 81%

“…W needs to be handled carefully and we note that the only way one can achieve small values of The results i) and iii) are identical to what was reported in Kirkpatrick et . al [23]. For ii), the Gaussian form shown in Eq.…”

Section: The Limit Of Very Smallmentioning

confidence: 99%

“…The results i) and iii) are identical to what was reported in Kirkpatrick et . al [23]. For ii), the Gaussian form shown in Eq.…”

Section: The Limit Of Very Smallmentioning

confidence: 99%

“…Recently it was found that the work probability distribution in such cases can be significantly different [13 ]. This prompted us to look at systems with long-ranged correlations in both equilibrium and non-equilibrium situations [23]. A natural candidate for an equilibrium system was a Heisenberg ferromagnet, well below the Curie temperature, in an infinitesimal magnetic field, where the transverse magnetization fluctuations are the Goldstone modes of the system.…”

Section: Introductionmentioning

confidence: 99%

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Work probability distribution for a ferromagnet with long-ranged and short-ranged correlations

2018

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Work fluctuations and work probability distributions are fundamentally different in systems with short-ranged versus long-ranged correlations. Specifically, in systems with long-ranged correlations the work distribution is extraordinarily broad compared to systems with short-ranged correlations. This difference profoundly affects the possible applicability of fluctuation theorems like the Jarzynski fluctuation theorem. The Heisenberg ferromagnet, well below its Curie temperature, is a system with long-ranged correlations in very low magnetic fields due to the presence of Goldstone modes. As the magnetic field is increased the correlations gradually become short ranged. Hence, such a ferromagnet is an ideal system for elucidating the changes of the work probability distribution as one goes from a domain with long-ranged correlations to a domain with short-ranged correlations by tuning the magnetic field. A quantitative analysis of this crossover behavior of the work probability distribution and the associated fluctuations is presented.

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Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 81%

Section: The Limit Of Very Smallmentioning

confidence: 99%

“…The results i) and iii) are identical to what was reported in Kirkpatrick et . al [23]. For ii), the Gaussian form shown in Eq.…”

Section: The Limit Of Very Smallmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Work probability distribution for a ferromagnet with long-ranged and short-ranged correlations

2018

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Nonequilibrium Casimir pressures in liquids under shear

2019

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In stationary nonequilibrium states coupling between hydrodynamic modes causes thermal fluctuations to become long ranged inducing nonequilibrium Casimir pressures. Here we consider nonequilibrium Casimir pressures induced in liquids by a velocity gradient. Specifically, we have obtained explicit expressions for the magnitude of the shear-induced pressure enhancements in a liquid layer between two horizontal plates that complete and correct results previously presented in the literature. In contrast to nonequilibrium Casimir pressures induced by a temperature or concentration gradient, we find that in shear nonequilibrium contributions from short-range fluctuations are no longer negligible. In addition, it is noted that currently available computer simulations of model fluids in shear observe effects from molecular correlations at nanoscales that have a different physical origin and do not probe shear-induced pressures resulting from coupling of long-wavelength hydrodynamic modes. Even more importantly, we find that in actual experimental conditions, shear-induced pressure enhancements are caused by viscous heating and not by thermal velocity fluctuations. Hence, isothermal computer simulations are irrelevant for the interpretation of experimental shear-induced pressure enhancements.

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Contrasting Work Fluctuations and Distributions in Systems with Short-Range and Long-Range Correlations

Cited by 2 publications

References 26 publications

Work probability distribution for a ferromagnet with long-ranged and short-ranged correlations

Work probability distribution for a ferromagnet with long-ranged and short-ranged correlations

Nonequilibrium Casimir pressures in liquids under shear

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