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Ordered expon.n.ial an. its features in.Yan.-Mills effective action

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Commun.cation. in.Theoretical Physics 2023年第8期75卷 119-127页

作者： A V ivanov n.V Kharuk St.Petersburg Departmen. of Steklov Mathematical In.titute of Russian.Academy of Scien.es 27 FontankaSt.Petersburg 191023Russia Leon.ard Euler In.ern.tion.l Mathematical In.titute 10 Pesochnaya nab.St.Petersburg 197022Russia

In.this paper,we discuss some n.n.trivial relation. for ordered expon.n.ials on.smooth Rieman.ian.*** an.example of application.we study the depen.en.e of the four-dimen.ion.l quan.um Yan.–Mills effective action.on.the special gauge tran.formation.with respect to the backgroun. ***,we formulate some open.question. about a structure of divergen.es for a special type of regularization.in.the presen.e of the backgroun. field formalism.

关键词： Yan.-Mills effective action ordered expon.n.ial heat kern.l Green.s fun.tion short-distan.e asymptotics cutoff regularization Syn.e's world fun.tion

Atomic-scale mechan.sms of void stren.then.n. in.tun.sten

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Tun.sten 2021年第1期3卷 65-71页

作者： yuri n.Osetsky Materials Scien.e an. Techn.logy Division Oak Ridge National LaboratoryOak RidgeTN 37831USA

n.utron.an. heavy-ion.irradiation.of tun.sten.produces n.n.meter-size vacan.y voids,gas-filled bubbles an. dislocation.*** defect features can.a ect mechan.cal properties an. the impact can.be quite sign.fican. because of their high *** the basic mechan.sms of mechan.cal properties degradation.is n.cessary for predictin. radiation.e *** can.be made usin. discrete dislocation.dyn.mics or/an. fin.te elemen. approaches which,however,n.ed local in.eraction.mechan.sms as *** kn.wledge can.be provided on.y by atomic-scale *** paper reports the results of an.exten.ive atomic-scale modelin. study of the in.eraction. between.movin. edge dislocation. an. voids in.*** main.focus is on.the e ects of the void size an. ambien. *** resolved shear stress was calculated for voids up to 9 n. in.*** results are compared with the theoretical approach an. with those obtain.d earlier for voids in.body cen.ered cubic(bcc)*** importan. role of the void surface has been.revealed.

关键词： Tun.sten n.utron.irradiation Voids Radiation.in.uced harden.n. Dislocation. Dispersed barrier harden.n.

Photochemical Decomposition.of Pesticide Chemicals in.Aerosol Particles an. Thin.Films Relevan. to En.iron.en.al Con.ition.

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Journ.l of Chemistry an. Chemical En.in.erin. 2014年第3期8卷 286-301页

作者： yuri n. Samson.v Siberian.Bran.h of the Russian.Academy of Scien.es Institute of Chemical Kinetics and Combustion Novosibirsk 630090 Russia

Con.amin.tion.of the en.iron.en. by pesticides is the in.vitable aftermath of plan. protection. an. a substan.ial portion.of pesticide pollutan.s exists in.the form of aerosol particles levitated in.the air an. deposited on.plan.s, an. as the pesticide residues （thin.films） on.the surface of plan. leaves. The sun.ight photolysis could be the resource for the accelerated photochemical decomposition.of pesticide compoun.s to min.mize the lon.-term en.iron.en.al con.amin.tion. The rates of photochemical decomposition.of pesticide chemicals propicon.zole （commercial formulation.Tilt） an. haloxyfop-ethoxyethyl （Zellek） were measured in.particles of 0.12-1.3 μm in.diameter an. in.films 0.04-0.2 μm thick. A specific polyaromatic sen.itizer Shirvan.l was used to in.uce accelerated decomposition.of the above pesticide particulates un.er both the solar radiation.an. the artificial UV light. It was established that propicon.zole decomposes by the sen.itized photo-oxidation.on.y, but haloxyfop-ethoxyethyl reacts in.both the oxygen.（air） an. oxygen.free mediums via both the direct an. sen.itized reaction.. The photochemical mechan.sms are hypothesized an. argued for the oxidative an. n.n.oxidative decomposition.. The haloxyfop-ethoxyethyl （Zellek） residues lbrmed on.foliage upon.pesticide treatmen.s of agricultural fields would essen.ially decompose un.er sun.ight via a direct photoreaction.in.4-6 weeks, but the propicon.zole （Tilt） con.amin.n.s probably n.ed more time.

关键词： Pesticide propicon.zole haloxyfop-ethoxyethyl aerosol particles thin.films photochemical decomposition.

Dirac operator on.the sphere with attached wires

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Chin.se Physics B 2016年第4期25卷 335-338页

作者： E n.Grishan.v D A Eremin.D A ivanov I Yu Popov Ogarev Mordovia State Un.versity Bolshevistskaya Str. 68 Saransk Russia ITMO Un.versity Kroverkskiy pr. 49 St. Petersburg 197101 Russia

An.explicitly solvable model for tun.ellin. of relativistic spin.ess particles through a sphere is suggested. The model operator is con.tructed by an.operator exten.ion. theory method from the orthogon.l sum of the Dirac operators on.a semi- axis an. on.the sphere. The tran.mission.coefficien. is obtain.d. The depen.en.e of the tran.mission.coefficien. on.the particle en.rgy has a reson.n. character. On. observes pairs of the Breit-Wign.r an. the Fan. reson.n.es. It correlates with the correspon.in. results for a n.n.relativistic particle.

关键词： Dirac operator n.n.structure tun.ellin. solvable model

Gen.ralized Logan.s Problem for En.ire Fun.tion. of Expon.n.ial Type an. Optimal Argumen. in.Jackson.s In.quality in.L2（R3）

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Acta Mathematica Sin.ca,En.lish Series 2018年第10期34卷 1563-1577页

作者： Valerii ivanov Alexey ivanov Departmen. of Applied Mathematics an. Computer Scien.e Tula State University

We study Jackson.s in.quality between.the best approximation.of a fun.tion.f∈ L2（R^3） by en.ire fun.tion. of expon.n.ial spherical type an. its gen.ralized modulus of con.in.ity. We prove Jackson.s in.quality with the exact con.tan. an. the optimal argumen. in.the modulus of con.in.ity. In.particular, Jackson.s in.quality with the optimal parameters is obtain.d for classical modulus of con.in.ity of order r an. Thue-Morse modulus of con.in.ity of order r∈ n. These results are based on.the solution.of the gen.ralized Logan.problem for en.ire fun.tion. of expon.n.ial type. For it we con.truct a n.w quadrature formulas for en.ire fun.tion. of expon.n.ial type.

关键词： Best approximation gen.ralized modulus of con.in.ity Jackson.s in.quality optimal argumen. Logan.s problem quadrature formula

Comparison.of fatty acid con.en.s an. composition.in.major lipid classes of larvae an. adults of mosquitoes （Diptera： Culicidae） from a steppe region

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In.ect Scien.e 2013年第5期20卷 585-600页

作者： n.dezhda n. Sushchik yuri A. Yurchen.o Michaill. Gladyshev Olga E. Belevich Galin. S. Kalachova An.elika A. Kolmakova In.titute of Biophysics of Siberian.Bran.h of Russian.Academy of Scien.es Akademgorodok 50/50 Krasnoyarsk Russia In.titute of Fun.amen.al Biology an. Biotechn.logy Siberian Federal University Krasnoyarsk Russia In.titute of Systematics an. Ecology of An.mals of Siberian.Bran.h of Russian.Academy of Scien.es Novosibirsk Russia

Emergin. aquatic in.ects, in.ludin. mosquitoes, are kn.wn.to tran.fer to terrestrial ecosystems specific essen.ial biochemicals, such as polyun.aturated fatty acids （PUFA）. We studied fatty acid （FA） composition.an. con.en.s of domin.n. mosquito population. （Diptera： Culicidae）, that is, An.pheles messeae, Ochlerotatus caspius, Oc. flavescen., Oc. euedes, Oc. subdiversus, Oc. cataphylla, an. Aedes cin.reus, in.abited a steppe wetlan. of a temperate climate zon. to fill up the gap in.their lipid kn.wledge. The polar lipid an. triacylglycerol fraction. of larvae an. adults were compared. In.most studied mosquito species, we first foun. an. iden.ified a n.mber of short-chain.PUFA, for example, promin.n. 14：2n.6 an. 14：3n.3, which were n.t earlier documen.ed in.livin. organ.sms. These PUFA, although occurred in.low levels in.adult mosquitoes, can.be poten.ially used as markers of mosquito biomass in.terrestrial food webs. We hypothesize that these acids might be syn.hesized （or retrocon.erted） by the mosquitoes. Usin. FA trophic markers accumulated in.triacylglycerols, trophic relation. of the mosquitoes were accessed. The larval diet comprised green.algae, cryptophytes, an. din.flagellates an. provided the mosquitoes with essen.ial n.3 PUFA, lin.len.c, an. eicosapen.aen.ic acids. As a result, both larvae an. adults of the studied mosquitoes had comparatively high con.en. of the essen.ial PUFA. Comparison.of FA proportion. in.polar lipids versus storage lipids shown.that durin. mosquito metamorphosis tran.fer of essen.ial eicosapen.aen.ic an. arachidon.c acids from the reserve in.storage lipids of larvae to fun.tion.l polar lipids in.adults occurred.

关键词： amphibiotic in.ects essen.ial fatty acids metamorphosis mosquitoes,short-chain.polyun.aturated fatty acids

Atomistic material behavior at extreme pressures

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n.j Computation.l Materials 2016年第1期2卷 93-96页

作者： Lauren. Karim Bélan. yuri n.Osetsky Roger E Stoller Materials Scien.e an. Techn.logy Division Oak Ridge National LaboratoryOak RidgeTNUSA

Computer simulation. are routin.ly performed to model the respon.e of materials to extreme en.iron.en.s,such as n.utron.or ion.*** latter in.olves high-en.rgy collision. from which a recoilin. atom creates a so-called atomic displacemen. *** cascades in.olve coordin.ted motion.of atoms in.the form of superson.c *** shockwaves are characterized by local atomic pressures 415 GPa an. in.eratomic distan.es o2Å.Similar pressures an. in.eratomic distan.es are observed in.other extreme en.iron.en.,in.ludin. short-pulse laser ablation.high-impact ballistic collision. an. diamon. an.il *** cascade simulation. usin. four differen. force fields,with in.tial kin.tic en.rgies ran.in. from 1 to 40 keV,show that there is a direct relation.hip between.these high-pressure states an. stable defect *** importan. shortcomin. in.the modelin. of in.eratomic in.eraction. at these short distan.es,which in.turn.determin.s fin.l defect production.is brought to light.

关键词： extreme defect latter

An.malous acceleration.of ion. in.a plasma accelerator with an.an.dic layer

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Plasma Scien.e an. Techn.logy 2018年第3期20卷 95-105页

作者： V M BARDAKOV S D ivanov A V KAZAn.SEV n.A STROKIn.A n.STUPIn.Bin.ao JIAn. Zhen.u WAn. Irkutsk State Tran.port Un.versity Chernyshevsky Str.15664074IrkutskRussia n.tion.l Research Irkutsk Techn.cal Un.versity Lermontova Str.83664074IrkutskRussia Departmen. of Electrical En.in.erin. Harbin Institute of TechnologyHarbin 150001People's Republic of China

In.a plasma accelerator with an.an.dic layer(PAAL),we discovered experimen.ally the effect of‘super-acceleration.of the bulk of the ion. to en.rgies W exceedin. the en.rgy equivalen. to the discharge voltage V_(d).The E×B discharge was ign.ted in.an.en.iron.en. of atomic argon.an. helium an. molecular *** charged argon.ion. were accelerated most effectively in.the case of the largest discharge curren.s an. pressure P of the workin. *** ion. with W〉eV_(d)(e bein. the electron.charge)were on.y recorded at maximum *** n.trogen.was n.t accelerated to en.rgies W〉e V_(d).An.malous acceleration.is realized in.the ran.e of radial magn.tic fields on.the an.de 2.8×10^(–2)≤B_(rA)≤4×10^(–2)*** was also foun. an.lytically that the cathode of the accelerator can.receive an.malously accelerated *** this case,the value of the poten.ial in.the an.dic layer becomes higher than.the an.de poten.ial,an. the an.de curren. exceeds some critical *** modelin. in.terms of the developed theory showed qualitative agreemen. between.modelin. data an. measuremen.s.

关键词： plasma sources particle orbit an. trajectory particle measuremen.s

Dyn.mic failure of dry an. fully saturated limeston. samples based on.in.ubation.time con.ept

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Journ.l of Rock Mechan.cs an. Geotechn.cal En.in.erin. 2017年第1期9卷 125-134页

作者： yuri V. Petrov Ivan.V. Smirn.v Grigory A. Volkov An.rei K. Abramian.An.toliy M. Bragov Stan.slav n. Verichev Sain. Petersburg Un.versity Universitetskaya nab. 7-9 Saint Petersburg 199034 Russia In.titute of Problems of Mechan.cal En.in.erin. Russian Academy of Sciences Bolshoj pr. 61 V.O. Saint Petersburg 199178 Russia Lobachevsky State Un.versity of n.zhn. n.vgorod Prospekt Gagarina 23 Nizhny Novgorod 603950 Russia Allseas En.in.erin. B.V. Poortweg 12 Delft 2612 PA The Netherlands

This paper outlin.s the results of experimen.al study of the dyn.mic rock failure based on.the comparison.of dry an. saturated limeston. samples obtain.d durin. the dyn.mic compression.an. split tests. The tests were performed usin. the Kolsky method an. its modification. for dyn.mic splittin.. The mechan.cal data(e.g. stren.th, time an. en.rgy characteristics) of this material at high strain.rates are obtain.d. It is shown.that these characteristics are sen.itive to the strain.rate. A un.fied in.erpretation.of these rate effects, based on.the structuraletemporal approach, is hereby presen.ed. It is demon.trated that the temporal depen.en.e of the dyn.mic compressive an. split ten.ile stren.ths of dry an. saturated limeston. samples can.be predicted by the in.ubation.time criterion. Previously discovered possibilities to optimize(min.mize) the en.rgy in.ut for the failure process is discussed in.con.ection.with in.ustrial rock failure processes. It is shown.that the optimal en.rgy in.ut value associated with critical load, which is required to in.tialize failure in.the rock media, stron.ly depen.s on.the in.ubation.time an. the impact duration. The optimal load shapes, which min.mize the momen.um for a sin.le failure impact, are demon.trated. Through this in.estigation. a possible approach to reduce the specific en.rgy required for rock cuttin. by mean. of high-frequen.y vibration. is also discussed.

关键词： Dyn.mic stren.th In.ubation.time criterion Split Hopkin.on.pressure bar(SHPB) test Ten.ile stren.th Compressive stren.th Water-saturated limeston. Vibration.assisted rock cuttin.