Thermodynamics of substances with negative thermal expansion and negative compressibility

Stepanov, I. A.

doi:10.1016/j.jnoncrysol.2010.03.013

Cited by 12 publications

(7 citation statements)

References 10 publications

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“…The principle is also seems to be violated when negative thermal expansion is considered, since the volume change (Δ V ) will be negative upon heating, and positive upon cooling, differing from the behavior of “normal” materials. These problems have already been discussed by a few authors, with varying levels of success [ 6 , 7 , 8 , 9 , 10 , 11 ]; in this paper, we are going to mention them only when there is some connection with our problem, which is the proper calculation of work upon isobaric heating/cooling of liquids at p = 0.…”

Section: Isobaric Heat Exchange and The First Law Of Thermodynamicmentioning

confidence: 99%

“…One should be aware, that this new pressure scale would also solve some problems related to work under negative pressure, as raised by Stepanov [ 9 , 10 , 11 ], if the new pressure value ( π ) is always non-negative (or even positive, accepting the physical unattainability of the spinodal).…”

Section: Isobaric Heating/cooling Of Water At Zero Pressurementioning

confidence: 99%

“…Details about reaching pressures in liquids below the equilibrium vapor pressure (including absolute negative pressures or zero pressure) can be seen in Refs. [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 22 , 31 ] and will not be described here. In this part, we are focusing on the possible realization of isobaric heating/cooling.…”

Section: Figure A1mentioning

confidence: 99%

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Pressure-Volume Work for Metastable Liquid and Solid at Zero Pressure

Imre

Wojciechowski

Györke

et al. 2018

Entropy

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Unlike with gases, for liquids and solids the pressure of a system can be not only positive, but also negative, or even zero. Upon isobaric heat exchange (heating or cooling) at p = 0, the volume work (p-V) should be zero, assuming the general validity of traditional δW = dW p = −pdV equality. This means that at zero pressure, a special process can be realized; a macroscopic change of volume achieved by isobaric heating/cooling without any work done by the system on its surroundings or by the surroundings on the system. A neologism is proposed for these dW p = 0 (and in general, also for non-trivial δW = 0 and W = 0) processes: "aergiatic" (from Greek: , "inactivity"). In this way, two phenomenologically similar processes-adiabatic without any heat exchange, and aergiatic without any work-would have matching, but well-distinguishable terms.

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Section: Isobaric Heat Exchange and The First Law Of Thermodynamicmentioning

confidence: 99%

Section: Isobaric Heating/cooling Of Water At Zero Pressurementioning

confidence: 99%

Section: Figure A1mentioning

confidence: 99%

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Pressure-Volume Work for Metastable Liquid and Solid at Zero Pressure

Imre

Wojciechowski

Györke

et al. 2018

Entropy

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“…Materials with negative Poisson's ratio [1][2][3][4][5][6][7], negative linear compressibility [7][8][9][10][11][12][13], negative thermal expansion [14][15][16][17][18][19], and negative refractive index [20,21] are wellknown examples of so-called negative materials. Such materials are interesting theoretically and from the practical point of view because their unusual properties can find new applications.…”

Section: Introductionmentioning

confidence: 99%

Negative Stiffness Demonstrated by NiAl Nanofilms

Babicheva¹,

Bukreeva²,

Mulyukov³

et al. 2013

CMST

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This paper studies the uniaxial strain control tension of NiAl nanofilms via molecular dynamics simulations. The nanofilm deforms elastically until fracture at tensile strain is as large as 37%. The stress-strain curve has a range where tensile deformation develops at decreasing tensile stress, thus indicating negative stiffness. Such deformation is thermodynamically unstable and the nanofilm splits into domains with two different values of elastic strain. Deformation within the unstable range is controlled by motion of the domain walls, resulting in the domains with larger strain grow at the expense of the domains with smaller strain.

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“…Material scientists have developed ceramic materials based on sodium zirconium phosphate, NZP that have a near-zero-thermal-expansion coefficient. The occurrence of negative values of volume expansivity ab initio, is a violation of second law of thermodyna mics according to some investigators such as Stepanov [4]. They propose that the first law of thermodynamics be changed from to in order to work with materials with zero or negative coefficient of thermal expansion.…”

Section: Introductionmentioning

confidence: 99%

On Thermodynamic Analysis of Substances with Negative Coefficient of Thermal Expansion

Sharma¹

2013

ENG

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There are reports in the literature on the discovery of novel materials that were observed to shrink upon heating. Treatment of these materials in the same manner as the materials with positive coefficient of thermal expansion can lead to the misinterpretation of the laws of thermodynamics. This is because volume expansivity is usually defined at constant pressure. Negative values for volume expansivity can be shown using Maxwell's reciprocity relations to lead to negative values for absolute temperature for ideal gas. For real systems, using Helmholz free energy analysis at equilibrium an expression for the volume expansivity was derived. It can be seen that this expression would be always positive for real physical changes, either heating or cooling. Isentropic volume expansivity is proposed as better suited for analysis of materials with negative thermal expansion, NTE and composites used in space such as Hubble telescope and Chandra telescope with zero coefficient of thermal expansion. This kind of a switch from isobaric to isentropic has precedence in the history of development of speed of sound.

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Thermodynamics of substances with negative thermal expansion and negative compressibility

Cited by 12 publications

References 10 publications

Pressure-Volume Work for Metastable Liquid and Solid at Zero Pressure

Pressure-Volume Work for Metastable Liquid and Solid at Zero Pressure

Negative Stiffness Demonstrated by NiAl Nanofilms

On Thermodynamic Analysis of Substances with Negative Coefficient of Thermal Expansion

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