A constrained variational model for radial symmetry breaking
نویسندگان
چکیده
منابع مشابه
THE FRANK KINETIC MODEL FOR SPONTANEOUS CHIRAL SYMMETRY BREAKING WITH VARIABLE CONCENTRATION OF THE ACHIRAL SUBSTRATE
This paper considers the possibility of spontaneous transition of aracemic mixture (composed of equal amounts of two enantiomeric species, say L and D) into a monochiral state (in which only one enantiomer, say L, is present). Transitions of this kind have been recently experimentally observed. A plausible approach to this phenomenon is a model put forward by Frank, based on simple laws of ...
متن کاملAxial-symmetry breaking in constrained membranes.
We study the equilibrium shapes of a lipid membrane, attached to a fixed circular substrate. We show how the weakening of the boundary conditions is able to break the axial symmetry of the optimal equilibrium configuration. We derive the critical threshold of the symmetry-breaking transition, and obtain the analytical expression of the free-energy minimizers in the quasi-planar approximation. M...
متن کاملChiral Symmetry Breaking in QCD: A Variational Approach
We develop a “variational mass” expansion approach, recently introduced in the Gross–Neveu model, to evaluate some of the order parameters of chiral symmetry breakdown in QCD. The method relies on a reorganization of the usual perturbation theory with the addition of an arbitrary quark mass m, whose non-perturbative behaviour is inferred partly from renormalization group properties, and from an...
متن کاملHopf’s Lemma and Constrained Radial Symmetry for the Fractional Laplacian
In this paper we prove Hopf’s boundary point lemma for the fractional Laplacian. With respect to the classical formulation, in the non-local framework the normal derivative of the involved function u at z ∈ ∂Ω is replaced with the limit of the ratio u(x)/(δR(x)) , where δR(x) = dist(x, ∂BR) and BR ⊂ Ω is a ball such that z ∈ ∂BR. More precisely, we show that lim inf B∋x→z u(x) (δR(x)) > 0 . Als...
متن کاملModel Restarts for Structural Symmetry Breaking
There exist various methods to break symmetries. The two that concern us in this paper are static symmetry breaking where we add static constraints to the problem (see e.g. [1,3]) and symmetry breaking by dominance detection (SBDD) where we filter values based on a symmetric dominance analysis when comparing the current searchnode with those that were previously expanded [2,5]. The core task of...
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: Mathematical Journal of Ibaraki University
سال: 2013
ISSN: 1343-3636,1883-4353
DOI: 10.5036/mjiu.45.15