Kinetic Pathways of Order-Disorder and Order-Order Transitions in Weakly Segregated Microstructured Systems

Kinetic pathways of order-disorder and order-order transitions in weakly segregated microstructured systems.

where cs$ rd is the order parameter, e.g., the local magnetization in magnetic systems, or the local density contrast between the two types of monomers in diblock copolymers. t is related to the distance from the order-disorder transition temperature, and the coefficients b, c, u, and y are phenomenological parameters which can be computed from more microscopic models. The last term in Eq. (1) ...

asymptotic property of order statistics and sample quntile

چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...

Grain boundary order-disorder transitions

The conditions for grain boundary (GB) structural transitions are determined from a diffuse interface model that incorporates structural disorder and crystallographic orientation. A graphical construction and numerical calculations illustrate the existence of a first-order GB order–disorder transition below the bulk melting point. When thermodynamic conditions permit their existence, disordered...

Order-Disorder Transitions in Tetrahedral Lattice Polymer Systems

Monte Carlo simulations were performed on multichain, semiflexible polymer systems with excluded volume confined to a diamond lattice, and the requirements for a phase transition between a globally random and a globally anisotropic phase were explored. For chains composed of n = 12 and 24 beads packed a t volume fractions 0.5 and 0.75, a transition to a globally ordered phase is not observed if...

Order-disorder Transitions in a Vortex Lattice