The six-loop expansions of the renormalization-group functions $φ^4$ $n$-vector model with cubic anisotropy are calculated within minimal subtraction (MS) scheme in $4 - \varepsilon$ dimensions. $\varepsilon$ for fixed point coordinates, critical exponents corresponding to universality class and marginal order parameter dimensionality $n_c$ separating different regimes behavior presented. Since divergent numerical estimates quantities interest obtained employing proper resummation...

Even three decades after signing the Chemical Weapons Convention, organophosphorus chemical warfare agents (CWAs), such as sarin, remain a threat. The development of novel methods for detection CWAs, protection from and CWA decontamination motivates research on their physicochemical properties. Due to extreme toxicity most experimental studies are carried out using less toxic simulant compounds. In addition sarin simulants, both simulants can be studied in silico experiments—molecular...

Black carbon (BC) from fuel combustion is an effective light absorber that contributes significantly to direct climate forcing. The forcing altered when BC combines with other substances, which modify its mixing state and morphology, making the evaluation of atmospheric lifetime impact a challenge. To elucidate associated mechanisms, we exposed aerosol supersaturated vapors different chemicals form thin coatings measured coating mass required induce restructuring aggregates. We found studied...

Soot is a short-lived climate forcing agent whose warming potential varies significantly during its atmospheric lifetime. The particles of soot have complex fractal morphology, but in aerosol models, they are commonly represented as spheres. We show that taking the morphology into consideration accelerates rate aging atmosphere because concave surfaces promote rapid capillary condensation trace gas chemicals produced from photochemical oxidation volatile organic compounds, even when vapors...

While the production and stockpiling of organophosphorus chemical warfare agents (CWAs), such as sarin, was banned three decades ago, CWAs have remained a threat. New approaches for decontamination destruction require detailed knowledge their various physicochemical properties. In particular, surface tension is needed to describe formation evolution hazardous aerosols when CWA liquids are dispersed in air. Due extreme toxicity most experimental studies carried out using its...

We analyze the Landau-Wilson field theory with $\text{U}(n)\times\text{U}(m)$ symmetry which describes finite-temperature phase transition in QCD limit of vanishing quark masses $n=m=N_f$ flavors and unbroken anomaly at critical temperature. The six-loop expansions renormalization group functions are calculated within Minimal Subtraction scheme $4 - \varepsilon$ dimensions. $\varepsilon$ series for upper marginal dimensionality $n^{+}(m,4-\varepsilon)$ -- key quantity obtained resummed by...

The directed bond percolation is a paradigmatic model in nonequilibrium statistical physics. It captures essential physical information on the nature of continuous phase transition between active and absorbing states. In this paper, we study by means field-theoretic formulation with subsequent renormalization group analysis. We calculate all critical exponents needed for quantitative description corresponding universality class to third order perturbation theory. Using dimensional...

Atmospheric soot consists of fractal aggregates spherical particles, which are made ordered (graphitic) and disordered (amorphous) carbon. Condensation polycyclic aromatic hydrocarbons (PAHs) on the surface particles in junctions between these induces morphological changes aggregates. We studied interactions benzene molecules with graphitic amorphous carbon slit pores, where represented PAHs pores spheres a aggregate. used Monte Carlo simulations grand canonical ensemble (GCMC) to calculate...

The Renormalization group method (RG) is applied to the investigation of E model critical dynamics, which describes transition from normal superfluid phase in He4. technique “Sector decomposition” with R’ operation used for calculation Feynman diagrams. RG functions, exponents and dynamical exponent z, determines growth relaxation time near point, have been calculated two-loop approximation framework ε-expansion. relevance a fixed point helium, where dynamic scaling weakly violated, briefly...

Abstract When studying physical properties of highly toxic chemicals, such as chemical warfare agents (CWAs), molecular dynamics (MD) simulations can serve an alternative to experimental measurements. We performed MD calculate viscosity four organophosphorus liquids, CWAs, sarin, and soman, well their simulants, DMMP DIMP, in the temperature range from 0 . The molecules were represented with Transferable Potentials for Phase Equilibria United Atom (TraPPE‐UA) force field; calculations using...

Atmospheric soot is an air pollutant and a climate forcer. Its environmental impacts are altered when fractal particles change their composition morphology during atmospheric processing by coagulation, surface oxidation, vapor condensation. Previously, we have shown that supersaturated condensation can produce two different coating distributions on aggregates developed qualitative analytical model to predict the outcome based single dimensionless parameter χ. In this study, refine our...

Within the framework of renormalization group approach to models critical dynamics, we propose a method for considerable reduction number integrals needed calculate exponents. With this perform calculation exponent $z$ model A at 4-loop level, where our allows reduce from 66 17. The way constructing integrand in Feynman representation such diagrams is discussed. Integrals were estimated numerically with Sector Decomposition technique.

Soot is a short-lived climate forcing agent whose warming potential varies significantly during its atmospheric lifetime. The particles of soot have complex fractal morphology, but in aerosol models they are commonly represented as spheres. We show that taking the morphology into consideration accelerates rate aging atmosphere because concave surfaces promote rapid capillary condensation trace gas chemicals produced from photochemical oxidation volatile organic compounds, even when vapors...

The quantum-field renormalization group method is one of the most efficient and powerful tools for studying critical scaling phenomena in interacting many-particle systems. multiloop Feynman diagrams underpin specific implementation program. In recent years, computation has had a significant breakthrough both static dynamic models behavior. paper, we focus on state-of-the-art computational techniques results obtained with their help. generic nature evaluated physical observables wide class...

The quantum-field renormalization group method is one of the most efficient and powerful tools for studying critical scaling phenomena in interacting many-particle systems. multiloop Feynman diagrams underpin specific implementation program. In recent years, computation has had a significant breakthrough both static dynamic models behavior. paper, we focus on state-of-the-art computational techniques results obtained with their help. generic nature evaluated physical observables wide class...

Вестник СПбГУ.Физика и химия.2018.Т. 5 (63).Вып. 1 С.Е. Воробьёва, Э. В. Иванова, Д. Серов БОРЕЛЕВСКОЕ ПЕРЕСУММИРОВАНИЕ ДИНАМИЧЕСКОГО ИНДЕКСА z В МОДЕЛИ А КРИТИЧЕСКОЙ ДИНАМИКИ С УЧЁТОМ АСИМПТОТИКИ СИЛЬНОЙ СВЯЗИ Санкт-Петербургский государственный университет, Российская Федерация, 199034, Санкт-Петербург, Университетская наб

The paper notes that nowadays scientific literature does not pay enough attention to the issue of possibility prosecution parents and other close relatives for abduction their own children. Meanwhile, settlement conflicts arising in relation children from persons with whom they reside is relevant. A study shows law foreign countries provides several models legal regulation problem situation. It noted prevailing model differentiate between criminal responsibility according kin relations...

We study universal quantities characterizing the second order phase transition in Gribov process. To this end, we use numerical methods for calculation of renormalization group functions up to two-loop perturbation theory famous ε -expansion. Within procedure anomalous dimensions are evaluated using two different subtraction schemes: minimal scheme and null-momentum scheme. Numerical integrals was done on HybriLIT cluster Vegas algorithm from CUBA library. The comparison with existing...

We calculate the dynamic critical exponent $z$ for 2d and 3d Ising universality classes by means of minimally subtracted five-loop $\varepsilon$ expansion obtained one-component model A. This breakthrough turns out to be possible through successful adaptation Sector Decomposition technique problems dynamics. The fifth perturbative order accompanied use advanced resummation techniques asymptotic series allows us find highly accurate numerical estimates $z$: two- three-dimensional cases we...