We study the critical points of a nonlocal free energy functional. The functional has two minimizers (ground states) m((+/-)) with zero energy. We prove that there is a first excited state identified as the instanton (m) over cap (L), and that above the energy of the instanton there is a gap. We also characterize parts of the basin of attraction of m((+/-)) and (m) over cap (L) under a dynamics associated to the free energy functional. The result completes the analysis of tunneling from m((-)) to m((+)). (c) 2005 American Institute of Physics.
Bellettini, G., De Masi, A., Presutti, E. (2005). Energy levels of a nonlocal functional. JOURNAL OF MATHEMATICAL PHYSICS, 46(8), 1-31 [10.1063/1.1990107].
Energy levels of a nonlocal functional
BELLETTINI, GIOVANNI;PRESUTTI, ERRICO
2005-01-01
Abstract
We study the critical points of a nonlocal free energy functional. The functional has two minimizers (ground states) m((+/-)) with zero energy. We prove that there is a first excited state identified as the instanton (m) over cap (L), and that above the energy of the instanton there is a gap. We also characterize parts of the basin of attraction of m((+/-)) and (m) over cap (L) under a dynamics associated to the free energy functional. The result completes the analysis of tunneling from m((-)) to m((+)). (c) 2005 American Institute of Physics.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
