Emergent Kardar-Parisi-Zhang phase in quadratically driven condensates

Universal amplitudes ratios for critical aging via functional renormalization group

“…G(t, t ) can be calculated as the inverse of the physical effective action Γ k=0 ≡ Γ, evaluated in the configuration of Φ minimizing Γ (see Eq. (20) and Ref. 7).…”

“…In Eq. (20) and in what follows a superscript (n) to Γ denotes the n-derivative with respect to the twodimensional variable Φ = ( φ, φ). Notice that Heaviside theta in Eq.…”

“…By taking advantage of the locality in space and time of the LPA Ansatz (21), i.e., of the fact that it is written as an integral over x, one can rewrite the second of Eqs. (20) as…”

“…Universal behaviors have been also observed in systems out of equilibrium, much less understood than their equilibrium counterparts. Non-equilibrium universality emerges in classical [2][3][4][5][6][7] and quantum [8][9][10][11][12][13][14][15][16][17][18][19][20] systems, and even in socioeconomic 21 and ecologic models [22][23][24] .…”

Universal amplitudes ratios for critical aging via functional renormalization group

“…Universal behaviors have been also observed in systems out of equilibrium, much less understood than their equilibrium counterparts. Nonequilibrium universality emerges in classical [2][3][4][5][6][7] and quantum [8][9][10][11][12][13][14][15][16][17][18][19][20] systems, and even in socio-economic [21] and ecologic models [22][23][24].…”