Diffusionless first-order phase transitions in systems with frozen configurational degrees of freedom

We consider systems that can be described in terms of two kinds of degree of freedom. The corresponding ordering modes may, under certain conditions, be coupled to each other. We may thus assume that the primary ordering mode gives rise to a diffusionless first-order phase transition. The change of its thermodynamic properties as a function of the secondary-ordering-mode state is then analyzed. Two specific examples are discussed. First, we study a three-state Potts model in a binary system. Using mean-field techniques, we obtain the phase diagram and different properties of the system as a function of the distribution of atoms on the different lattice sites. In the second case, the properties of a displacive structural phase transition of martensitic type in a binary alloy are studied as a function of atomic order. Because of the directional character of the martensitic-transition mechanism, we find only a very weak dependence of the entropy on atomic order. Experimental results are found to be in quite good agreement with theoretical predictions.

Avalanches in a fluctuationless first-order phase transition in a random-bond Ising model

We study the behavior of the random-bond Ising model at zero temperature by numerical simulations for a variable amount of disorder. The model is an example of systems exhibiting a fluctuationless first-order phase transition similar to some field-induced phase transitions in ferromagnetic systems and the martensitic phase transition appearing in a number of metallic alloys. We focus on the study of the hysteresis cycles appearing when the external field is swept from positive to negative values. By using a finite-size scaling hypothesis, we analyze the disorder-induced phase transition between the phase exhibiting a discontinuity in the hysteresis cycle and the phase with the continuous hysteresis cycle. Critical exponents characterizing the transition are obtained. We also analyze the size and duration distributions of the magnetization jumps (avalanches).

Archaeology on the Road, July 2011

Not only are we excited that Team Archaeology is back for our third ride, we are energized to be part of a “Human and Natural History” partnership that allows us expanded opportunities to share the story of Iowa’s amazing past. Once again there will be archaeologists along for the ride, as well as at Expo and this year at roadside locations Day One, Five and Six. Don’t hesitate to ask about the history of the first people to travel this landscape as well as the stories of each generation that has contributed to what we know of ourselves today. We will also feature information about the landscape and natural resources of Iowa you will encounter along the route through our partnering colleagues specializing in geology, hydrology, and other earth sciences. Enjoy using this booklet as your guide to the week’s activities and please help yourself to free materials from our outreach booth about our shared past and the natural world we depend on. Ride smart, be safe, and when you get home, be sure to tell your friends and neighbors about Iowa archaeology!