Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-11-23
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, 2 PDF figures, uses RevTex4. v2: Modified the normalization condition in the entropy calculation to be more general a
Scientific paper
We construct a configurational entropy measure in functional space. We apply it to several nonlinear scalar field models featuring solutions with spatially localized energy, including solitons and bounces in one spatial dimension, and critical bubbles in three spatial dimensions, typical of first-order phase transitions. Such field models are of widespread interest in many areas of physics, from high energy and cosmology to condensed matter. Using a variational approach, we show that the higher the energy of a trial function that approximates the actual solution, the higher its relative configurational entropy. Furthermore, we show that when different trial functions have degenerate energies, the configurational entropy can be used to select the best fit to the actual solution. The configurational entropy relates the dynamical and informational content of physical models with localized energy configurations.
Gleiser Marcelo
Stamatopoulos Nikitas
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