Nonergodic thermodynamics of disordered ferromagnets and ferroelectrics

Timonin, P. N.

doi:10.1140/epjb/e2008-00283-9

Cited by 5 publications

(18 citation statements)

References 34 publications

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“…The reasonable agreement of the present theory with the experiments implies the validity of the suggested in Refs. [8], [9] mechanism of the phase-space separation in glassy phases. Yet further studies are needed to decide if the true nonergodicity sets in them so the description in terms of multiple "metastable states" can be extended beyond the present laboratory time scales.…”

Section: Discussionmentioning

confidence: 99%

“…12 in Ref. [8]). The qualitative difference is the jump of m ZF C in stronger fields in the last case.…”

Section: Standard Protocols: Fc and Trmentioning

confidence: 90%

“…These rules seem to be the almost apparent consequences of Langevin dynamics for our potential F (m) and they allow to easily reproduce the quantitative features of the above protocols in a glassy phase. It is quite easy to find m ZF C as cooling at zero field brings crystal to the non-magnetized and most deep [8] state with n = 0.5. Then depending on the magnitude of applied (positive) field the system may stay at this state or enter the lower branch of the hysteresis loop or acquire the m 0 value, see Fig.…”

Section: Standard Protocols: Zfc and Irmentioning

confidence: 99%

“…We use the basic qualitative feature of the metastable states phenomenology of Ref. [8] for these phases -the existence of inclined hysteresis loop filled with magnetization (polarization) curves so the sides of loop are the stability limits of metastable states. We show that the difference of the thermodynamic parameters in standard protocols can be explained by the trapping of a system in different metastable states resulting from the hysteresis loop's temperature evolution.…”

Section: Introductionmentioning

confidence: 99%

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Phenomenological theory of nonergodic phenomena in dipole- and spin-glasses

Timonin

2009

Eur. Phys. J. B

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The path-dependent magnetizations (polarizations) and susceptibilities in dipole-and spin-glasses are described analytically for the standard protocols of temperature and field variations using the phenomenological Landau-type description of multiple metastable states in the nonergodic phases. The immediate manifestation of metastable states' multiplicity as staircases of magnetizations (polarizations) curves in the temperature cycling experiments is explained and described. The obtained results are in a reasonable qualitative agreement with the existing experimental data.

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Section: Discussionmentioning

confidence: 99%

“…12 in Ref. [8]). The qualitative difference is the jump of m ZF C in stronger fields in the last case.…”

Section: Standard Protocols: Fc and Trmentioning

confidence: 90%

Section: Standard Protocols: Zfc and Irmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Phenomenological theory of nonergodic phenomena in dipole- and spin-glasses

Timonin

2009

Eur. Phys. J. B

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“…This can be achieved in the framework of Landau-type phenomenology using the notion of the multiple polar modes" condensation [5,6]. The Landau potential of a generic uniaxial relaxor depending on the macroscopic number of polarizations P i , i =1,…, N 0 , has a form  with the equilibrium first order transition between them at gf   .…”

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confidence: 99%

Dipole-Glass Concept and History-Dependent Phenomena in Relaxors

Timonin

2010

Ferroelectrics

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The possibility to explain basic physical properties of relaxors within the concept of the dipoleglass transition is discussed. We argue that this concept provides the only consistent picture accounting of all known anomalous features of relaxors. The origin of their history-dependent properties can be naturally traced to the main paradigm of glass-state theorythe existence of numerous metastable states. Based on this paradigm phenomenological description of known history-dependent phenomena in relaxors agrees qualitatively with experiments.Strongly disordered ferroelectrics such as ferroelectric solid solutions and ceramics can exhibit rather unusual "relaxor" properties among which the most notorious is the extremely slow relaxation of polarization which had given birth to the "relaxor ferroelectrics" notion. Yet the most important feature of this class of ferroelectric materials is that disorder completely destroys the ferroelectric transition in them. Thus in zero electric field in all temperature range down to T = 0 no spontaneous polarization or ferroelectric domains appear in relaxors as well as there are no changes in their (average) crystalline structure. So quite naturally the relaxors

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Phenomenological theory of uniaxial relaxor ferroelectrics

Широков

Pavlenko

Yuzyuk

2016

J. Phys.: Condens. Matter

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A phenomenological thermodynamic theory of uniaxial relaxor strontium barium niobate [Formula: see text] is developed using the Landau-Devonshire approach with two order parameters. The fourth-order thermodynamic potential allowed to explain the shape of the polarization hysteresis loops experimentally observed at different temperatures. We show that the broad maximum of the dielectric permittivity is not related to the phase transition and arise due to the coupling between polarization and true order parameter which has antiferroelectric nature. We found that the phase transition temperature is much higher than the maximum of the dielectric permittivity and very likely corresponds to so-called Burn's temperature. True order parameter has no simple relation with polar modes.

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Nonergodic thermodynamics of disordered ferromagnets and ferroelectrics

Abstract: Phenomenological thermodynamic theory describing the properties of metastable states in disordered ferromagnets and ferroelectrics with frustrative random interactions is developed and its ability to describe various nonergodic phenomena in real crystals is demonstrated.

Cited by 5 publications

References 34 publications

Phenomenological theory of nonergodic phenomena in dipole- and spin-glasses

Phenomenological theory of nonergodic phenomena in dipole- and spin-glasses

Dipole-Glass Concept and History-Dependent Phenomena in Relaxors

Phenomenological theory of uniaxial relaxor ferroelectrics

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