6533b7dbfe1ef96bd1270031

RESEARCH PRODUCT

Size effect in phase transition kinetics

Sergio CiuchiBernardo SpagnoloP. MonachesiDe Pasquale F

subject

PhysicsPhase transition kineticsCondensed matter physicsStochastic processtheory and models of magnetic ordering; magnetic phase transitions; relaxation phenomena in magnetic systemsTransition temperatureKineticsmagnetic phase transitionsSpherical modelNonlinear systemMagnetizationLattice (order)Statistical physicstheory and models of magnetic orderingrelaxation phenomena in magnetic systems

description

The growth of a spontaneous lattice average magnetization in a magnetic system which is suddenly brought below the transition temperature is a stochastic process in which the very small fluctuations of the initial magnetization are amplified to a macroscopic size. The initial magnetization fluctuates in time around the zero average value because of the finite size of the system. As a consequence of the fluctuation-amplification phenomenon the nonlinear relaxation of the finite system is qualitatively different from that of the infinite one. The present paper studies this feature of phase-transition kinetics in the framework of a very simple model: the dynamical generalization of the spherical model in the molecular-field approximation.

10.1103/physrevb.38.2596http://hdl.handle.net/11697/5726