Smooth cutoff formulation of hierarchical reference theory for a scalar phi(4) field theory
Articolo
Data di Pubblicazione:
2007
Citazione:
Smooth cutoff formulation of hierarchical reference theory for a scalar phi(4) field theory / C. D. Ionescu, A. Parola, D. Pini, L. Reatto. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 76:3(2007 Sep 12), pp. 031113.031113.1-031113.031113.7. [10.1103/PhysRevE.76.031113]
Abstract:
The phi(4) scalar field theory in three dimensions, prototype for the study of phase transitions, is investigated by means of the hierarchical reference theory (HRT) in its smooth cutoff formulation. The critical behavior is described by scaling laws and critical exponents which compare favorably with the known values of the Ising universality class. The inverse susceptibility vanishes identically inside the coexistence curve, providing a first principle implementation of the Maxwell construction, and shows the expected discontinuity across the phase boundary, at variance with the usual sharp cutoff implementation of HRT. The correct description of first and second order phase transitions within a microscopic, nonperturbative approach is thus achieved in the smooth cutoff HRT.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
renormalization group ; fluids
Elenco autori:
C.D. Ionescu, A. Parola, D. Pini, L. Reatto
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