One-dimensional Kinetic Ising Model with Nonuniform Coupling Constants
نویسندگان
چکیده
منابع مشابه
One-dimensional kinetic Ising model with nonuniform coupling constants
A nonuniform extension of the Glauber model on a one-dimensional lattice with boundaries is investigated. Based on detailed balance, reaction rates are proposed for the system. The static behavior of the system is investigated. It is shown that there are cases where the system exhibits a static phase transition, which is a change of behavior of the static profile of the expectation values of th...
متن کاملDynamical phase transition in one-dimensional kinetic Ising model with nonuniform coupling constants
An extension of the Kinetic Ising model with nonuniform coupling constants on a one-dimensional lattice with boundaries is investigated, and the relaxation of such a system towards its equilibrium is studied. Using a transfer matrix method, it is shown that there are cases where the system exhibits a dynamical phase transition. There may be two phases, the fast phase and the slow phase. For som...
متن کاملDynamical phase transition of a one-dimensional kinetic Ising model with boundaries.
The Glauber model on a one-dimensional lattice with boundaries (for the ferromagnetic and antiferromagnetic cases) is considered. The large-time behavior of the one-point function is studied. It is shown that at any temperature, the system shows a dynamical phase transition. The dynamical phase transition is controlled by the rate of spin flip at the boundaries, and is a discontinuous change of...
متن کاملInterface in a One-dimensional Ising Model with Random Interactions
The purpose of this paper is to localize an interface in a one-dimensional Ising model with random Kac potentials. To study this system we deene a Gibbs measure which depends on a quenched variable y which models the random part of interactions and on a scaling parameter which rules the range of interactions. In the Kac asymptotic, as goes to 0, we prove a large deviation principle with rate fu...
متن کاملActivity and Steady-State Kinetics of One-Dimensional Kinetic Ising Model
Kuo Kan Liang 1 Research Center for Applied Sciences, Academia Sinica, 128 Academia Road, Section 2, Nankang, Taipei 115-29, Taiwan and 2 Department of Biochemical Science and Technology, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617 Taiwan∗ Abstract In this work we focused on the kinetics of a one-dimensional Ising system (1DIS) with constant nearest-neighbor interac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2011
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-011-1029-y