Debye-Hückel theory for spin ice at low temperature
نویسندگان
چکیده
C. Castelnovo,1,2 R. Moessner,3 and S. L. Sondhi4 1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3NP, United Kingdom 2SEPnet and Hubbard Theory Consortium, Department of Physics, Royal Holloway University of London, Egham TW20 0EX, United Kingdom 3Max-Planck-Institut für Physik komplexer Systeme, D-01187 Dresden, Germany 4Department of Physics, Princeton University, Princeton, New Jersey 08544, USA (Received 26 July 2011; revised manuscript received 7 October 2011; published 31 October 2011)
منابع مشابه
Dimensional analysis, spin freezing and magnetization in spin ice.
Dimensional analysis is shown to give an insight into the non-ergodic behaviour of spin ice below its apparent 'spin freezing' temperature. Expressions are derived for the temperature-dependent magnetic susceptibility that are found to be highly consistent with the previously reported field cooled and zero field cooled magnetization of the spin ice dysprosium titanate, Dy(2)Ti(2)O(7), as well a...
متن کاملDebye–Hückel theory for two-dimensional Coulomb systems living on a finite surface without boundaries
We study the statistical mechanics of a multicomponent two-dimensional Coulomb gas which lives on a finite surface without boundaries. We formulate the Debye– Hückel theory for such systems, which describes the low-coupling regime. There are several problems, which we address, to properly formulate the Debye–Hückel theory. These problems are related to the fact that the electric potential of a ...
متن کاملA Molecular Debye-Hückel Theory and Its Applications to Electrolyte Solutions
In this report, a molecular Debye-Hückel theory for ionic fluids is developed. Starting from the macroscopic Maxwell equations for bulk systems, the dispersion relation leads to a generalized Debye-Hückel theory which is related to the dressed ion theory in the static case. Due to the multi-pole structure of dielectric function of ionic fluids, the electric potential around a single ion has a m...
متن کاملLong Time Behavior of Solutions to Nernst–Planck and Debye–Hückel Drift–Diffusion Systems
We study the convergence rates of solutions to drift-diffusion systems (arising from plasma, semiconductors and electrolytes theories) to their self-similar or steady states. This analysis involves entropytype Lyapunov functionals and logarithmic Sobolev inequalities.
متن کاملFinite-Size Corrections for Coulomb Systems in the Debye–Hückel Regime
It has been argued that for a finite two-dimensional classical Coulomb system of characteristic size R, in its conducting phase, as R → ∞ the total free energy (times the inverse temperature β) admits an expansion of the form: βF = AR +BR+ 1 6 χ lnR, where χ is the Euler characteristic of the manifold where the system lives. The first two terms represent the bulk free energy and the surface fre...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011