Solvent Role in the Triethoxysilane Direct Process

Gorshkov, Alexander; Копылов, В. М.; and, Anna Markacheva; Polivanov, A. N.

doi:10.1002/9783527619924.ch82

Cited by 5 publications

(10 citation statements)

References 1 publication

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“…Finally, we find that, according to our variational analysis, the location of the first order transition at the ∆ = 0 line approaches the value γ = 0 with increasing dimension. This behavior is consistent with analytic arguments showing that there is no ferromagnetic phase at ∆ = 0 in any dimension [57].…”

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confidence: 90%

Multicritical behavior in dissipative Ising models

et al. 2017

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We analyze theoretically the many-body dynamics of a dissipative Ising model in a transverse field using a variational approach. We find that the steady state phase diagram is substantially modified compared to its equilibrium counterpart, including the appearance of a multicritical point belonging to a different universality class. Building on our variational analysis, we establish a field-theoretical treatment corresponding to a dissipative variant of a Ginzburg-Landau theory, which allows us to compute the upper critical dimension of the system. Finally, we present a possible experimental realization of the dissipative Ising model using ultracold Rydberg gases.PACS numbers: 05.30. Rt, 03.65.Yz, 64.60.Kw, 32.80.Ee The continuous transition between a paramagnetic and a ferromagnetic phase within the Ising model in a transverse field is one of the most important examples of a quantum phase transition. At finite temperature, thermal fluctuations dominate while the phase transition between the two phases remains continuous [1]. Here, we show that adding dissipation to the model strongly modifies the phase diagram and gives rise to a multicritical point belonging to a different universality class.Rapid experimental progress in the control of tailored dissipation channels [2][3][4][5][6], combined with prospects to use dissipation for the preparation of interesting manybody states [7][8][9], has put dissipative quantum manybody systems at the forefront of ultracold atomic physics, quantum optics, and solid state physics. In particular, systems driven to highly excited Rydberg atoms have emerged as one of the most promising routes [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28], as the dissipation and interaction properties of Rydberg gases can be very widely tuned [29]. These crucial experimental advances have led to the investigation of drivendissipative models in a wide range of theoretical works [16,19,22,[30][31][32][33][34][35][36][37][38][39][40][41]. However, the theoretical understanding of dissipative quantum many-body systems is still in its infancy, as many of the concepts and methods from equilibrium many-body systems cannot be applied. As a consequence, little is known even about the most basic dissipative models.In this Letter, we perform a variational analysis of the steady state of dissipative Ising models using a recently introduced variational method. In contrast to the equilibrium case, we find that the continuous transition is replaced by a first order transition if the dissipation is sufficiently stronger than the transverse field, see Fig. 1. Strikingly, we find that the model gives rise to a multicritical behavior, as the two types of transitions are connected by a tricritical point. This deviation from the equilibrium situation underlines the fact that dissipative many-body systems constitute an independent class of * vincent.overbeck@itp.uni-hannover.de dynamical systems that go beyond the presence of a finite effective temperature. Furthermore, we establish a...

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confidence: 90%

Multicritical behavior in dissipative Ising models

et al. 2017

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“…The results obtained using a kinetic Monte Carlo model demonstrate that the statistical characteristics of these parameters are mainly determined by anisotropy of the surface energy density, σ, which, in its own turn, strongly depends on nanowire axis orientation. We have augmented the previous notions anent the break‐up dynamics for nanowire orientations along the axes of low index direction ([100] and [111]) (see Sections S1, S3, and S4, Supporting Information). Such oriented nanowires mainly have rotational symmetries of orders 4 and 3, respectively and present, to some extent, “isotropic” cases with the parameter of break‐up being

Λ / r_{0} \approx 9

.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Anisotropic Break‐Up in Nanowires of FCC Lattice Structure

Gorshkov

Sareh

Tereshchuk

et al. 2019

Advcd Theory and Sims

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Nanowires are known to be thermally unstable and may break up into chains of nanoparticles at temperatures below their melting point. This phenomenon is reminiscent of the well-known Rayleigh-Plateau instability of liquid jets, when periodic sausage-like perturbations of the jet surface increase with time. The corresponding nanowire/jet shape modifications must be followed by a decrease in total surface energy. However, unlike isotropic liquid jet surfaces, the realization of this abatement in the system with a strong lattice structure and physical dissimilarity of bounding facets, leads to specific features of nanowire break-up, namely, significant variations in the size of nanodrops and the average distance between them, the formation of long-living dumbbells, and zigzag-like structures. Here, the physical mechanisms of such diversity are analyzed. Apart from scientific insights, the yielded results can be potentially useful in applications such as the development of optical waveguides based on ordered nanoparticles chains.

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“…[64] However,i nm ost cases, al arge excesso ft hese compounds (e.g.,2 0-100 equiv relative to the platinum catalyst) is required to achieveam oderatelatency and sometimes the controllability is still not sufficient. In addition, although it is possible to control the activity and furtheri ncrease the pot-life to any de-sired extent by selecting inhibitor speciesa nd amount, an adverse effect on the cross-linking behavior,f or example, impairing the shear strength of the cured silicone formulations, [65] is unavoidably associated with increasing shelf life. [54d] One way to overcome these drawbacks is to designn ovel well-defined platinum complexes as latentc atalysts without additional inhibitors.…”

Section: Latent Catalystsmentioning

confidence: 99%

Catalytic Systems for the Cross‐Linking of Organosilicon Polymers

Wang

Klein

Mejía

2017

Chemistry An Asian Journal

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Silicones and silicone rubbers are omnipresent in household and industrial products such as lubricants,c oatings, sealants,i nsulators, medicald evices, etc. This plethora of applicationsa rises from their unparalleled properties including hydrophobicity,l ow surfacee nergy,c hemical inertness, extreme temperature stability,e lasticity,a nd biocompatibility.E vent hough silicones have been known for more than five decades, their chemistry is still far from fully understood. Industrially,t he vast majority of processesf or their synthesis, transformation, andu se are based on rather well established, alas outdated technologies, which are frequently empirical and poorly investigated. Thisr eview attempts to summarize the different approaches for the synthesis of silicone rubbers by vulcanizationorc uring of silicone polymers, the catalysts used, and the corresponding reaction mechanisms. Apart from the well-known methods (radical, hydrosilylation, and metal-based condensation), novel approaches such as organo-and bio-catalysis are also addressed.

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Solvent Role in the Triethoxysilane Direct Process

Cited by 5 publications

References 1 publication

Multicritical behavior in dissipative Ising models

Multicritical behavior in dissipative Ising models

Dynamics of Anisotropic Break‐Up in Nanowires of FCC Lattice Structure

Catalytic Systems for the Cross‐Linking of Organosilicon Polymers

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