Thermodynamic geometry: Evolution, correlation and phase transition
نویسندگان
چکیده
منابع مشابه
Thermodynamic geometry, phase transitions, and the Widom line.
A microscopic characterization, based on the thermodynamic curvature R, is proposed for first-order liquid-gas phase transitions. Near the critical point, where R is proportional to the correlation volume ξ(3), we propose that R takes the same value in the coexisting phases. This proposal allows a determination of the liquid-gas coexistence curve with no use of the problematic Maxwell equal are...
متن کاملThermodynamic Geometry
The geometric study of thermodynamics began with Gibbs’s reformulation of the theory in terms of equilibrium states rather than processes [1]. The surface of the set of equilibrium states was Gibbs’s primary object of study and foreshadowed much of the modern differential geometric theory manifolds. Gibbs surfaces is where the geometric theory stood when I became a graduate student. The story t...
متن کاملPhase transition in fluctuating branched geometry
We study grand–canonical and canonical properties of the model of branched polymers proposed in [1]. We show that the model has a fourth order phase transition and calculate critical exponents. At the transition the exponent γ of the grand-canonical ensemble, analogous to the string susceptibility exponent of surface models, γ ∼ 0.3237525... is the first known example of positive γ which is not...
متن کاملGeometry guided crystal phase transition pathway search
Recently a periodic surface model was developed to assist geometric construction in computer-aided nano-design. This implicit surface model helps create super-porous nano structures parametrically and supports crystal packing. In this paper, we propose a new approach for pathway search in phase transition simulation of crystal structures. The approach relies on the interpolation of periodic loc...
متن کاملPhase transition driven discontinuity in thermodynamic size selection.
We show how an order-disorder phase transition in a two-dimensional system can discontinuously alter the shape and size of stress-stabilized self-assembled nanostructures. Low energy electron microscopy was used to study the dealloying of the Cu(111)-sqrt[3]×sqrt[3]-R30°-Bi surface alloy. The gradual expulsion of embedded bismuth from the alloy with increasing temperature induces a hard-hexagon...
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: Physica A: Statistical Mechanics and its Applications
سال: 2011
ISSN: 0378-4371
DOI: 10.1016/j.physa.2010.12.043