Fractional order phase transition in lipid bilayer: dipalmitoyllecithin

Agnihotri, Ramesh C.; Mehrotra, C.; Gupta, V. D.; Srivastava, Vandana

doi:10.1007/bf02846230

Cited by 10 publications

(2 citation statements)

References 12 publications

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“…Dipalmityol-L-alecithin (DPL) shows an order * disorder pressure transition which is neither of first-order nor of the second-order. It can be treated as a fractional-order (3/2-order) transition from gel to liquid crystalline state (3). This only means that the experimental gel f liquid crystalline transition profiles (shape of transition curves) can be fitted neither by a first-order nor by a second-order free energy derivative, but by a 312-order derivative.…”

Section: Introductionmentioning

confidence: 99%

Specific heat anomaly in some phospholipids

Tandon

Gupta

Mehrotra

et al. 1993

Journal of Macromolecular Science, Part B

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The phospholipids exhibit a variety of phase transitions such as gel * liquid crystalline and pretransition which involves the rotation of the whole hydrocarbon-type chain. These transitions are accompanied by specific heat anomaly. In some situations the order of these transitions is believed to be fractional in nature, and in some other cases the transition has a fine structure which results from the presence of transitions due to the multiple components in the system. Jn the present communication, Zimm and Bragg theory has been suitably modified to interpret the specific heat measurements in the phosphatidylcholines containing sulfur atoms in thioester and thioether linkages. The thermodynamic parameters associated with the transition are those reported by Hajdu and Sturtevant. The sharpness of transition (AH X T,) and the variation of nucleation parameter u are consistent with the structural differences in the phospholipids studied. The asymmetry at the tail ends of specific heat is a result of the presence of multiple components and asymmetry associated with the head group interaction. 205

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Section: Introductionmentioning

confidence: 99%

Specific heat anomaly in some phospholipids

Tandon

Gupta

Mehrotra

et al. 1993

Journal of Macromolecular Science, Part B

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“…a derivative with noninteger order, along arbitrary curves in the thermodynamic state space, has been revealed [17][18][19][20]. Fractional phase transitions (FPT) go back to the work of Nagle on dipalmitoyl lecithin (DPL) system [21], where it has been observed that the order↔ disorder phase transition is neither of first nor second type, but is rather of 3/2 order (see also [22]). Besides, 4/3 order FPTs have also been found in Van der Waals fluids [17].…”

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confidence: 99%

Fingerprinting the fractional order phase transitions in AdS black holes

Chabab,

Iraoui

2020

Preprint

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In this paper, we have extended and deepened the study on fractional order phase transition (FPT) of a charged AdS black hole performed in [1]. We have carried out a detailed analysis of FPT for three AdS black hole prototypes: black hole surrounded by quintessence background, 5D Gauss-Bonnet, and lastly Kerr black holes. We have shown that the 4/3 order FPT at critical points obtained in [1] still holds for the first two black holes systems, while for Kerr black holes, the fractional order is rather 1/3. These results suggest two remarkable features: Firstly 4/3 order phase transition can be assumed for asymptotically AdS black holes spherical solutions, secondly the fractional order is not universal and can be affected by the geometric symmetry.

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Analysis of solution trajectories of fractional-order systems

Patil

2020

Pramana - J Phys

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Fractional order phase transition in lipid bilayer: dipalmitoyllecithin

Cited by 10 publications

References 12 publications

Specific heat anomaly in some phospholipids

Specific heat anomaly in some phospholipids

Fingerprinting the fractional order phase transitions in AdS black holes

Analysis of solution trajectories of fractional-order systems

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