BibSonomy publications for /tag/DomainsWed Apr 23 22:05:04 CEST 2008Statistics \& Probability LettersApr3197--200Normalizing constants of a distribution which belongs to the domain of attraction of the Gumbel distribution51987of attraction domains Wed Apr 23 22:05:04 CEST 2008Statistics \& Probability LettersMar4271--279On max domains of attraction of univariate p-max stable laws191994domains attraction Max of 15Wed Apr 23 22:05:04 CEST 2008Statistics \& Probability LettersAug3187--192Moments of measures attracted to operator semi-stable laws241995attraction semi-stable of Domains 15Wed Apr 23 22:05:04 CEST 2008Statistics \& Probability LettersJan143--45Regular variation and domains of attraction in41986attraction of domains Wed Jun 20 10:16:09 CEST 2007Genova, ItalyAbstract Book of the XXIII IUPAP International Conference on Statistical Physics9-13 JulyJoint Hamiltonian and Stochastic Dynamics of Ferroelectric Polarization2007kinetics domains statphys23 topic-4 ferroelectrics Symmetry breaking models for structural phase instability in ferroelectrics takes as the lowest level starting point if going to the limits of thermodynamics at which the time evolution and relaxation to equilibrium is affected by the uncontrollable, thermalized degrees of freedom so emerging stochastic dynamics in the system. Top challenges motivated by its fundamental and technological importance include dynamics of phase separations and the behavior of ferroelectrics at mesoscopic scale. Objective is reconciliation the Hamiltonian and stochastic dynamics by incorporating a lattice of microscopically large and macroscopically small interacting blocks each obeying Langevin dynamics so constituting a spatial mesh and capturing dynamics of temperature and field controlled polarization and electroelastic response. The regular behaviour of a single block is given by Ginzburg-Landau model Hamiltonian [1] derived, however, from density-functional theory [2] whereas the stochastic behaviour emerges by block – thermal bath coupling [3]. The resulting dynamics is determined by kinetic and diffusion coefficients as well as the block – block interaction. Unlike the equilibrium Ginzburg-Landau model with temperature dependent expansion coefficient(s), temperature in the block model is introduced by diffusion coefficient allowing a systematic nonequilibrium approach. The mathematical technique includes Fokker-Planck equation for model Hamiltonian [2], mapping to imaginary time Schrodinger equation and symplectic integration [4]. Representative examples concern nucleation and sideway growth of a domain at reducing the temperature under the transition one (Fig. 1) and domain switching associated with motion of the domain walls and the growth of new domains with essential details revealing of the impact of electric and coupled electro-elastic fields and demonstrated in movies. Calculations are made in physical units for PbTiO3 [2, 5] with kinetic and diffusion coefficients as the fitting parameters. Microscopic interpretation of these parameters is discussed.\\ 1) S. Nambu, A. Sagala, Phys. Rev. B, 50, 5838 (1994).\par \noindent 2) N. Sai, K. M. Rabe, D. Vanderbilt, Phys. Rev. B 66 104108 (2002).\par \noindent 3) M.Shiino, Phys. Rev. A 36, 2393 (1987).\par \noindent 4) E. Klotins, Eur. Phys. J. B 50, 315-320 (2006).\par \noindent 5) Y.L. Li, S.Y. Hu, Z.K. Liu, L.Q. Chen, Acta Materialia 50 (2002) 395-411.\par \noindent 6) M. Dawber, K. M. Rabe , J. F. Scott, Rev. Mod. Phys, Vol 77, (2005).Wed Jun 20 10:16:09 CEST 2007Genova, ItalyAbstract Book of the XXIII IUPAP International Conference on Statistical Physics9-13 JulyPhenomenological Similarities Observed in Diverse Materials During the Glass Transition2007relaxing boson amino acids landscape topic-9 statphys23 proteins. domains energy peak In this contribution the author propose a general and concise relation to obtain the vibrational density of states registered during the glass transition, which is useful to analyze the phenomenological similarities between different amorphous solids. An explicit equation for the determination of the vibrational density of states, in the glass transition for diverse materials should be a welcome addition to the field. Whit this relation, several characteristic features of the glass transition can be studied in a variety of materials ranging from glass forming systems to amino acids and proteins. Particularly, the boson peak dependence with temperature is reproduced; also the relaxing domains and the funnelled energy landscape for salol, l-alanine and bovine serum albumin are obtained. With this general and closed relation is possible advance to predict and quantify some aspects of the glass transition of some materials. Instead of costly computationally efforts, the explicit equation proposed provides of a medium to explore the nature of the glass transition in diverse materials. The next gallery shows: a) the vibrational density of states, b) the boson peak affected by temperature, c) the relaxing domains and the funnelled energy landscape for; d) salol, e) l-alanine and f) bovine serum albumin, respectively.DomainsCommunity for tag(s) Domains