2003/05/05 by A. Leviatan, Joseph N. Ginocchio, J. N. Ginocchio · 45 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Classical mechanics #Condensed matter physics #Critical phenomena #Critical point (mathematics) #Deformation (meteorology) #Geometry #Homogeneous space #Mathematical analysis #Mathematics #Nuclear physics research studies #Observable #Phase transition #Physics #Point (geometry) #Projection (relational algebra) #Quadrupole #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistical physics #Symmetry (geometry) #nucl-th
paper · pdf · doi:10.1103/physrevlett.90.212501
published in Physical Review Letters 90(21), 212501 (American Physical Society) · 12 pages, 2 figures, 2 tables, Phys. Rev. Lett. in press
arxiv created 2003/05/05 · openalex publication_date 2003/05/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
At a critical point of a second-order phase transition the intrinsic energy surface is flat and there is no stable minimum value of the deformation. However, for a finite system, we show that there is an effective deformation which can describe the dynamics at the critical point. This effective deformation is determined by minimizing the energy surface after projection onto the appropriate symmetries. We derive analytic expressions for energies and quadrupole rates which provide good estimates for these observables at the critical point.