In this paper we study the existence of critical points of the functional where 0 # R d , d 2 is a bounded domain with C 3 boundary, u # H 1 (0), and = is a small parameter. On the nonlinearity F we assume: ). Additionally we require that there exists q>1 such that for u>0 the function F$(u)Γu q i
Critical wall perturbations and a local free energy functional
β Scribed by Michael E. Fisher; Helen Au-Yang
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 430 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that the Ising free-energy functional f(T, X) yields a second-order phase transition. The value of X, a generalized order parameter, which minimizes the functional is the real-order parameter, 0 = tanh[ CL(T,/T)] where T, = ] / ( 2 k ) and J is the Ising coupling constant. The Ising theory i
The relative free energy difference (AAGhyd) for the reversible addition of water to two unsaturated molecules is accurately computed using a combination of ab initio quantum mechanical calculations and free energy perturbation methods. Initial attempts to calculate the absolute hydration free energ
## Abstract The interaction energies of ubiquitous weakly polar interactions in proteins are comparable with those of hydrogen bonds, consequently, they stabilize local, secondary, and tertiary structures. However, the most widelyβused density functionals fail to describe the weakly polar interacti