#### Event Title

Magnetic Phase Transition in the 2-D Ising Model

#### Presentation Type

Poster/Portfolio

#### Presenter Major(s)

Physics

#### Mentor Information

Maja Krcmar

#### Department

Physics

#### Location

Henry Hall Atrium 51

#### Start Date

10-4-2013 11:00 AM

#### End Date

10-4-2013 12:00 PM

#### Keywords

Mathematical Science, Physical Science, Technology

#### Abstract

Using the Ising Model, the phase transition between ferromagnetic and paramagnetic phases of a 2-D square spin lattice are explored. A phase transition into the ferromagnetic phase occurs when the temperature of the system falls below some critical value. The ferromagnetic phase is characterized by a non-zero magnetization on the macroscopic level. Using the Mote Carlo method to obtain system's configurations (i.e., sets of microstates) in thermal equilibrium, we will explore system's macroscopic properties such as magnetization, magnetic susceptibility, and specific heat capacity as functions of temperature. We will evaluate the transition temperature, and discuss how the lattice size affects the results.

Magnetic Phase Transition in the 2-D Ising Model

Henry Hall Atrium 51

Using the Ising Model, the phase transition between ferromagnetic and paramagnetic phases of a 2-D square spin lattice are explored. A phase transition into the ferromagnetic phase occurs when the temperature of the system falls below some critical value. The ferromagnetic phase is characterized by a non-zero magnetization on the macroscopic level. Using the Mote Carlo method to obtain system's configurations (i.e., sets of microstates) in thermal equilibrium, we will explore system's macroscopic properties such as magnetization, magnetic susceptibility, and specific heat capacity as functions of temperature. We will evaluate the transition temperature, and discuss how the lattice size affects the results.