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Related papers: On the theory of the universal dielectric relaxati…

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We present a simple nonlinear relaxation equation which contains the Debye equation as a particular case. The suggested relaxation equation results in power-law decay of fluctuations. This equation contains a parameter defining the…

Chemical Physics · Physics 2010-03-23 Boris A. Zon

The dielectric response of surface stabilized ferroelectric liquid crystals with chevron layer structure is studied within low and intermediate frequency ranges, characteristic for collective molecular excitations. By analytically solving…

Other Condensed Matter · Physics 2009-11-11 W. Jezewski , W. Kuczynski , J. Hoffmann

Dielectric relaxation is universal in characterizing polar liquids and solids, insulators, and semiconductors, and the theoretical models are well developed. However, in high magnetic fields, previously unknown aspects of dielectric…

Materials Science · Physics 2009-11-13 J. S. Brooks , R. Vasic , A. Kismarahardja , E. Steven , T. Tokumoto , P. Schlottmann , S. Kelly

Unlike the classical exponential relaxation law, the widely prevailing universal law with its fractional power-law dependence of susceptibility on frequency cannot be explained in the framework of any intuitively simple physical concept.…

Statistical Mechanics · Physics 2016-08-31 Andrew K. Jonscher , Agnieszka Jurlewicz , Karina Weron

More than 100 years after Debye proposed his model for the dielectric relaxation of monoalcohols (MA), some fundamental questions about their dynamics and its relation with the supramolecular structures created by hydrogen bonding remain…

Chemical Physics · Physics 2020-06-03 Silvia Arrese-Igor , Angel Alegría , Arantxa Arbe , Juan Colmenero

The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is…

Strongly Correlated Electrons · Physics 2009-11-07 G. S. Atwal , N. W. Ashcroft

One century ago pioneering dielectric results obtained for water and n-alcohols triggered the advent of molecular rotation diffusion theory considered by Debye to describe the primary dielectric absorption in these liquids. Comparing…

Soft Condensed Matter · Physics 2016-06-15 Jesper S. Hansen , Alexander Kisliuk , Alexei P. Sokolov , Catalin Gainaru

The stochastic scenario of relaxation in the complex systems is presented. It is based on a general probabilistic formalism of limit theorems. The nonexponential relaxation is shown to result from the asymptotic self-similar properties in…

Statistical Mechanics · Physics 2011-11-15 Aleksander Stanislavsky

The interaction-site-density-fluctuation correlators, the dipole-relaxation functions, and the mean-squared displacements of a system of symmetric dumbbells of fused hard spheres are calculated for two representative elongations of the…

Soft Condensed Matter · Physics 2009-11-07 S. -H. Chong , W. Gotze

One of the hallmarks of molecular dynamics in deeply supercooled liquids is the non-exponential character of the relaxation functions. It has been a long standing issue if 'universal' features govern the lineshape of glassy dynamics…

We present the theory of dielectric spectra allowing for homogeneous and inhomogeneous broadening mechanisms contributions. The dielectric absorption line shape for oscillators with memory and Debye type relaxors with distribution of,…

Condensed Matter · Physics 2007-05-23 M. D. Glinchuk , I. V. Kondakova

The distribution function of relaxation times in disordered dielectrics has been calculated in the random field theory framework. For this purpose, we first consider the dynamics of single two-orientable impurity electric dipole in a random…

Materials Science · Physics 2007-05-23 V. A. Stephanovich , M. D. Glinchuk , B. Hilczer , L. Jastrabik

The theory of the electron relaxation in metals excited by an ultrashort optical pump is developed on the basis of the solution of the linearized kinetic equation. The kinetic equation includes both the electron-electron and the…

Strongly Correlated Electrons · Physics 2014-03-06 V. V. Baranov , V. V. Kabanov

Dielectric measurements on molecular liquids just above the glass transition indicate that alpha relaxation is characterized by a generic high-frequency loss varying as $\omega^{-1/2}$, whereas deviations from this come from one or more…

Soft Condensed Matter · Physics 2009-11-11 Jeppe C. Dyre

Dipolar relaxation happens when one or both colliding atoms flip their spins exothermically inside a magnetic ($B$) field. This work reports precise measurements of dipolar relaxation in a Bose-Einstein condensate of ground state $^{87}$Rb…

Quantum Gases · Physics 2021-01-28 Yuan-Gang Deng , Yi-Quan Zou , Gao-Ren Wang , Qi Liu , Su Yi , Meng Khoon Tey , Li You

We have derived a universal relaxation function for heterogeneous materials using the maximum entropy principle for nonextensive systems. The power law exponents of the relaxation function are simply related to a global fractal parameter…

Soft Condensed Matter · Physics 2007-05-23 F. Brouers , O. Sotolongo-Costa , A. Gonzalez , J. P. Pirard

An expression for the two-particle relaxation time of collective excitations on a distorted Fermi surface in the diffusion approach to kinetic theory is obtained. The general case of momentum-dependent diffusion and drift coefficients is…

Nuclear Theory · Physics 2021-11-01 S. V. Lukyanov

Recent experiments and computer simulations show that supercooled liquids around the glass transition temperature are "dynamically heterogeneous" [1]. Such heterogeneity is expected from the random first order transition theory of the glass…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xiaoyu Xia , Peter G. Wolynes

This paper is concerned with the connection between the properties of dielectric relaxation and ac (alternating-current) conduction in disordered dielectrics. The discussion is divided between the classical linear-response theory and a…

Disordered Systems and Neural Networks · Physics 2009-11-13 Alexander V. Milovanov , Jens Juul Rasmussen , Kristoffer Rypdal

The relaxation properties of dielectric materials are described, in the frequency domain, according to one of the several models proposed over the years: Kohlrausch-Williams-Watts, Cole-Cole, Cole-Davidson, Havriliak-Negami (with its…

Mathematical Physics · Physics 2017-04-12 Roberto Garrappa , Francesco Mainardi , Guido Maione
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