Wave-front inversion in induced light scattering

Zel'dovich, Boris Ya; Ragul'Skii, V. V.

doi:10.1070/pu1978v021n12abeh005731

Cited by 4 publications

(3 citation statements)

References 3 publications

(1 reference statement)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the well established procedure devised by several authors [38][39][40][41], the technique of Fock space formulation is used to map the process (3) onto the field theory given by the bare action (space time points are denoted by…”

Section: The Microscopic Modelmentioning

confidence: 99%

Fluctuation effects in the pair-annihilation process with Lévy dynamics

2013

View full text Add to dashboard Cite

We investigate the density decay in the pair-annihilation process A+A→∅ in the case when the particles perform anomalous diffusion on a cubic lattice. The anomalous diffusion is realized via Lévy flights, which are characterized by long-range jumps and lead to superdiffusive behavior. As a consequence, the critical dimension depends continuously on the control parameter of the Lévy flight distribution. This instance is used to study the system close to the critical dimension by means of the nonperturbative renormalization group theory. Close to the critical dimension, the assumption of well-stirred reactants is violated by anticorrelations between the particles, and the law of mass action breaks down. The breakdown of the law of mass action is known to be caused by long-range fluctuations. We identify three interrelated consequences of these fluctuations. First, despite being a nonuniversal quantity and thus depending on the microscopic details, the renormalized reaction rate λ(0) can be approximated by a universal law close to the critical dimension. The emergence of universality relies on the fact that long-range fluctuations suppress the influence of the underlying microscopic details. Second, as criticality is approached, the macroscopic reaction rate decreases such that the law of mass action loses its significance. And third, additional nonanalytic power law corrections complement the analytic law of mass action term. An increasing number of those corrections accumulate and give an essential contribution as the critical dimension is approached. We test our findings for two implementations of Lévy flights that differ in the way they cross over to the normal diffusion in the limit σ→2.

show abstract

Section: The Microscopic Modelmentioning

confidence: 99%

Fluctuation effects in the pair-annihilation process with Lévy dynamics

2013

View full text Add to dashboard Cite

show abstract

“…Francesco and I were also curious about the possible observational signatures left by primordial molecules in the form of both spatial fluctuations and spectral distortions in the cosmic microwave background (CMB). This idea was first advanced by Viktor Dubrovich in the 1970's (Dubrovich 1977), endorsed by Zel'dovich (1978), and later developed in depth by Prof. Francesco Melchiorri and his group at the University La Sapienza in Rome, where Francesco had studied (Maoli et al 1994(Maoli et al , 1996. The attractive feature of this proposal was that a hypothetical absorbing layer of molecules extending over a significant range of redshifts could erase or attenuate primary anisotropies produced at higher redshift, reconciling cosmological models of structure formation with the small magnitude and large angular scale of the spatial anisotropies known at the time.…”

Section: Introductionmentioning

confidence: 99%

My chemistry with Francesco

Galli

2017

Preprint

View full text Add to dashboard Cite

Through all his career, Francesco maintained a keen interest in primordial star formation and the chemistry of the early Universe. It was therefore quite natural for me, his former student and his officemate for more than 12 years, to be also involved in these studies. In this contribution I summarize the chemistry that Francesco and I developed, pointing out the main findings and false steps of our lifelong collaboration.

show abstract

“…The application of the formalism of the second quantization to non-quantum systems (statistical, deterministic systems) was also studied [4,[8][9][10].…”

Section: Occupation Numbers Representationmentioning

confidence: 99%

Operator Approach to the Master Equation for the One-Step Process

Hnatič

Eferina

Korolkova

et al. 2016

EPJ Web of Conferences

View full text Add to dashboard Cite

Abstract. Background. Presentation of the probability as an intrinsic property of the nature leads researchers to switch from deterministic to stochastic description of the phenomena. The kinetics of the interaction has recently attracted attention because it often occurs in the physical, chemical, technical, biological, environmental, economic, and sociological systems. However, there are no general methods for the direct study of this equation. The expansion of the equation in a formal Taylor series (the so called Kramers-Moyal's expansion) is used in the procedure of stochastization of one-step processes. Purpose. However, this does not eliminate the need for the study of the master equation. Method. It is proposed to use quantum field perturbation theory for the statistical systems (the so-called Doi method). Results. This work is a methodological material that describes the principles of master equation solution based on quantum field perturbation theory methods. The characteristic property of the work is that it is intelligible for non-specialists in quantum field theory. Conclusions. We show the full equivalence of the operator and combinatorial methods of obtaining and study of the one-step process master equation.

show abstract

Wave-front inversion in induced light scattering

Cited by 4 publications

References 3 publications

Fluctuation effects in the pair-annihilation process with Lévy dynamics

Fluctuation effects in the pair-annihilation process with Lévy dynamics

My chemistry with Francesco

Operator Approach to the Master Equation for the One-Step Process

Contact Info

Product

Resources

About