The gap between the eigenvalues of the dominant and subdominant eigenvectors of the evolution operator associated with the contact process in one dimension is studied by perturbative series expansions in powers of the creation rate. The series expansion for the gap was computed with 49 coefficients. An analysis by Padé approximants allowed the determination of the critical creation rate and the...

The study of two-pseudoscalar and two-photon decays for the scalar meson nonet below 1 GeV is performed within an effective approach in which the scalar resonances are described as (Jaffe’s) tetraquark states. The dominant (fall apart decay) and the subdominant (one transverse gluon as intermediate state) decay amplitudes are systematically taken into account. The latter improves the agreement ...

We present a systematic study of corrections to scaling in the self-organized critical forest-fire model. The analysis of the steady-state condition for the density of trees allows us to pinpoint the presence of these corrections, which take the form of subdominant exponents modifying the standard finite-size scaling form. Applying an extended version of the moment analysis technique, we find t...

The multifractal theory of turbulence uses a saddle-point evaluation in determining the power-law behaviour of structure functions. Without suitable precautions, this could lead to the presence of logarithmic corrections, thereby violating known exact relations such as the four-fifths law. Using the theory of large deviations applied to the random multiplicative model of turbulence and calculat...

It is shown that subdominant terms found in the reggeized gluon diagram technique, to be added to Pomeron fan diagrams with the 3P interaction, can be exactly taken into account by taking the initial condition for evolution in the Glauber form. This demonstrates complete equivalence in the high-energy limit of the dipole picture and reggeized gluon technique not only on the leading level but al...

Let f , U and C represent, respectively, the free energy, the internal energy and the specific heat of the critical Ising model on the square M×N lattice with periodic boundary conditions, and f∞ represents f as M,N → ∞. We find that f , U and C can be written as: N(f −f∞) = ∑ ∞ i=1 fi/N 2i−1, U = − √ 2+ ∑ ∞ i=1 ui/N 2i−1 and C = 8 π lnN+ ∑ ∞ i=0 ci/N i andNf and U are well-defined odd function...

We study F -term hybrid inflation in a novel supersymmetric extension of the SM with a subdominant Fayet–Iliopoulos D-term. We call this particular form of inflation, in short, FD-term hybrid inflation. The proposed model ties the μ-parameter of the MSSM to an SO(3)-symmetric Majorana massmN , through the vacuum expectation value of the inflaton field. The late decays of the ultraheavy particle...

The Regge description of forward hadronic scattering is extended from ∼ 1GeV above each threshold up to the multi TeV range. This is achieved with a simple parametrization, that includes mass effects, a logarithmic growth based on an improved unitarity bound at intermediate energies and a separate factorization of singularities. This parametrization can be easily implemented for phenomenologica...

The Ising model in two dimensions with the special boundary conditions of Brascamp and Kunz is analyzed. Leading and subdominant scaling behavior of the Fisher zeros are determined exactly. The exact finite-size scaling, with corrections, of the specific heat is determined both at critical and effective critical ~pseudocritical! points. The shift exponents associated with the scaling of these e...

Species interactions play a vital role in structuring mammalian communities by stimulating behavioral responses varied niche dimensions that affect sympatric associations and predator–prey relationships. We determined temporal overlap effects of the moon cycle on dominant sub-dominant assemblages Manas National Park, India. A total 36 species were captured, with 24,865 independent records over ...