Microscopic theories of order-disorder structural phase transitions in crystals

Vaks, V. G.; Зиненко, В. И.; Schneider, V. E.

doi:10.1070/pu1983v026n12abeh004584

Cited by 37 publications

(58 citation statements)

References 4 publications

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“…The continuous symmetry present in the O(N) spin models gives rise to the so-called spin waves: slowly varying (long-wavelength) spin configurations, whose energies may be arbitrarily close to the ground-state energy. In two dimensions these modes are responsible for the absence of spontaneous magnetization, whereas in d > 2 they are the massless Goldstone modes associated with the spontaneous breaking of the rotational symmetry for temperatures below the critical value T c [13]. For T < T c the system is in a broken phase, i.e.…”

Section: Perturbative Predictions and Critical Behaviourmentioning

confidence: 99%

Goldstone-mode effects and scaling function for the three-dimensional O(4) model

2000

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We investigate numerically the three-dimensional O(4) model on 24 3 -120 3 lattices as a function of the magnetic field H. We verify explicitly the singularities induced by Goldstone modes in the low-temperature phase of the model, and show that they are also observed close to the critical temperature. Our results are well described by the perturbative form of the model's magnetic equation of state, with coefficients determined nonperturbatively from our data. The resulting expression is used to generate the magnetization's scaling function parametrically.

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Section: Perturbative Predictions and Critical Behaviourmentioning

confidence: 99%

Goldstone-mode effects and scaling function for the three-dimensional O(4) model

2000

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“…Anyway, though peculiarities of massless QED were often interpreted as manifestation of inconsistencies of the theory or proof of non-existence of massless charges [14,15], the prevailing current opinion is that massless QED is special, but viable theory [18,17,19]. Moreover, massless QED in the external magnetic field attracted much attention during two past decades in connection with prediction of the magnetic catalysis of the chiral symmetry breaking [20], and other interesting phenomena relevant to solid state physics and cosmology [21].…”

Section: Introductionmentioning

confidence: 99%

Synchrotron radiation from massless charge

Gal’tsov

2015

Physics Letters B

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Classical radiation power from an accelerated massive charge diverges in the zero-mass limit, while some authors suggest that strictly massless charge does not radiate at all. On the other hand, the regularized classical radiation reaction force, though looking odd, is non-zero and finite. To clarify this controversy, we consider radiation problem in massless scalar quantum electrodynamics in the external magnetic field. In this framework, synchrotron radiation is found to be non-zero, finite, and essentially quantum. Its spectral distribution is calculated using Schwinger's proper time technique for ab initio massless particle of zero spin. Provided E 2 eH, the maximum in the spectrum is shown to be at hω = E/3, and the average photon energy is 4E/9. The normalized spectrum is universal, depending neither on E nor on H. Quantum nature of radiation makes classical radiation reaction equation meaningless for massless charge. Classical theory is reliable only as providing the low-frequency part of the true quantum radiation spectrum.

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“…And equation (10) 26 performed extensive calculations for the static thermodynamic behavior in the four-particle cluster approximation and found satisfactory agreement with the experimental data. Similar fourparticle cluster calculations were made by Yoshimitsu and Matsubara 27 and Havlin and Sompolinsky 28 .…”

Section: Comparison With Experiments and Discussionmentioning

confidence: 69%

Soft Mode Dynamics of Order-Disorder Type Crystals

2017

Chem Sci Trans

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Abstract:The soft mode dynamics and related properties of order-disorder type crystals have been studied. The phonon width and shift have been calculated, which lead to the renormalization of the relaxation soft-mode. The dielectric properties are directly related to the relaxational soft mode behavior of stochastic motion of H 2 PO 4 groups in order-disorder (KDP-system) crystals. The analysis of the temperature dependence of microwave loss tangent and dielectric constant explain the experimental results.

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Microscopic theories of order-disorder structural phase transitions in crystals

Cited by 37 publications

References 4 publications

Goldstone-mode effects and scaling function for the three-dimensional O(4) model

Goldstone-mode effects and scaling function for the three-dimensional O(4) model

Synchrotron radiation from massless charge

Soft Mode Dynamics of Order-Disorder Type Crystals

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