Symmetry Breaking of Phospholipids

Symmetry Breaking

Symmetry occurs in many problems in aritifical intelligence. For example, in the n-queens problem, the chessboard can be rotated 90◦. As a second example, several machines in a factory might have the same capacity. In a production schedule, we might therefore be able to swap the jobs on machines with the same capacity. As a third example, two people within a company might have the same skills. ...

Symmetry Breaking

Symmetry, Symmetry Breaking and Topology

The ground state of a system with symmetry can be described by a group G. This symmetry groupG can be discrete or continuous. Thus for a crystalG is a finite group while for the vacuum state of a grand unified theory G is a continuous Lie group. The ground state symmetry described by G can change spontaneously from G to one of its subgroups H as the external parameters of the system are modifie...

Breaking of Topological Symmetry

The coupling of topological matter to topological Yang-Mills theory in four dimensions is considered and a model is presented. It is shown that, contrary to the two-dimensional case, this coupling may lead to a breaking of the topological symmetry. This means that the vacuum expectation values of the observables of the theory loose their invariance under small deformations of the metric while t...

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 ...