Global ETD Search
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Showing 1 to 12 of 12 for “"Dynamical Scaling"”.
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Approach to equilibrium in systems with continuous symmetries
… at early times in two dimensions. Finite-size scaling of the scattering function is demonstrated and it is shown that dynamical scaling is satisfied not only by the correlation functions of the order parameter but also by the correlation functions of the defects (point-vortices in two …
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Aging processes in complex systems
… glassy-like dynamics. In many systems a single dynamical length L(t), that grows as a power-law of time t or, in much more complicated cases, as a logarithmic function of t, governs the dynamics out of equilibrium. In the aging or dynamical scaling regime, these systems are best characterized by …
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Approach to equilibrium in systems with continuous symmetries
… ordering process in the system. Finite-size scaling of the scattering function is demonstrated and it is shown that dynamical scaling is satisfied not only by the correlation functions of the order parameter but also by the correlation functions of the defects (point-vortices in two …
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The role of topological defects and textures in the kinetics of phase ordering
… system, it is determined that weak violations of dynamical scaling occur in the system, even at the latest times studied. The observed scaling violations ~~ attributed to the presence of a logarithmic correction to the asymptotic power-law growth. of the average inter:defect separation. Following …
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Driven Magnetic Flux Lines in Type-II Superconductors: Nonequilibrium Steady States and Relaxation Properties
… invariance, and the presence of the dynamical scaling. We measure the dynamical exponents b and lambda_c/z and compare to other work. We find exponent values increase for increasing pinning strength, smaller interaction range, lower temperature, and denser defect density while the …
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Some problems on spatial patterns in nonequilibrium systems
… Chapter 2, we consider the consequences of the dynamical scaling hypothesis in phase ordering dynamics. We assume that the dynamics are governed by the Cahn-Hilliard-Cook (CHC) and time-dependent GinzburgLandau equations and show that the scaling hypothesis restricts the asymptotic growth rate …
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A Study of the Kinetics of Phase Separation in a Nickel-12.5 at.percent Silicon Alloy
… is noted at lower aging temperatures. The dynamical scaling of the SANS spectra and power law behavior of peak positions and intensities are investigated. Agreement with the existing scaling theories at especially high temperatures and long annealing times has been satisfactory, implying …
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Relaxation phenomena during non-equilibrium growth
… of the surface width is the famous Family-Vicsek scaling relation. We discuss an extended scaling relation that yields a complete description for various growth models. For two linear Langevin equations, namely the Edwards-Wilkinson equation and the Mullins-Herring equation, we furthermore study …
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Collective dynamics in lattice models far from equilibrium
… whose behaviour is consistent with activated dynamical scaling. We also investigate the extent to which individual avalanches at finite temperature can be traced back to parent avalanches in the athermal system. Then, we investigate the nucleation dynamics of the same model under a fixed …
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High Performance Lead--free Piezoelectric Materials
… ferroelectric and piezoelectric behavior and dynamical scaling analysis was performed to reveal the origin of their moderate piezoelectric performance. Optical birefringence technique used to reveal the macro level crystallographic nature of x = 0.4, 0.5 and 0.6 crystals suggested them to have …
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Study of Critical Phenomena with Monte Carlo and Machine Learning Techniques
Dynamical properties of non-equilibrium systems, similar to equilibrium ones, have been shown to obey robust time scaling laws which have enriched the concept of physical universality classes. In the first part of this Dissertation, we present the results of our investigations of some of the …
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Spin Systems far from Equilibrium: Aging and Dynamic Phase Transition
… quenched to low temperatures. The time-dependent dynamical correlation length L(t) is determined numerically and the scaling behavior of various two-time quantities as a function of L(t)/L(s) is discussed where t and s are two different times. For disordered Ising models deviations of L(t) from …