“Josephson effect in thin films: The role of vortex excitations” Pis’ma Zh. Éksp. Teor. Fiz. 85, 74 (2007) [JETP Lett. 85, 67 (2007)]

Khlebnikov, Sergei

doi:10.1134/s0021364007180166

Cited by 94 publications

(106 citation statements)

References 0 publications

Supporting

Mentioning

101

Contrasting

Order By: Relevance

“…Only for the composites with Si particles larger than about 280 nm does κ e increase with increasing V 2 due to the higher thermal conductivity of the large-sized Si compared to Ge. For Si particles with D < 280 nm, κ e decreases with the increasing fraction of Si, which is in agreement with the experimental result: the thermal conductivity of Si 80 Ge 20 nanocomposites with Si particles of 100 nm is lower than that of Si 20 Ge 80 with the same-sized Si nanoparticles [21].…”

supporting

confidence: 79%

See 1 more Smart Citation

Thermal conductivity of composites with nanoscale inclusions and size-dependent percolation

Liang¹,

Wei²,

Li³

2008

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

An analytical model for thermal conductivity of composites with nanoparticles in a matrix is developed based on the effective medium theory by introducing the intrinsic size effect of thermal conductivity of nanoparticles and the interface thermal resistance effect between two phases. The model predicts the percolation of thermal conductivity with the volume fraction change of the second phase, and the percolation threshold depends on the size and the shape of the nanoparticles. The theoretical predictions are in agreement with the experimental results.(Some figures in this article are in colour only in the electronic version)Nanocomposites have a wide range of applications in the fields of optoelectronics, thermoelectrics, sensors, etc, due to their novel structure and properties [1][2][3], such as nonlinear optical properties of granular metal-dielectric composites [2] and the large enhancement of effective thermal conductivity of a fluid with the addition of a small amount of carbon nanotubes [3]. With continuous miniaturization of semiconductor and microelectronic devices, thermal transport and heat management problems have begun to attract a great deal of attention [4,5].Some devices such as computer processors and integrated circuits need high thermal conductivity, which is favorable for getting the heat away. On the other hand, for thermal barriers and thermoelectric devices, low thermal conductivity is desired. Studies have found that thermal conductivity of nanowires and thin films is size-dependent, it is lower than the corresponding bulk value [6]. However, there are not many theoretical studies on the thermal conductivity of nanocomposites, despite its importance in applications [1,3].The effective medium theory (EMT) is often used to study the physical properties of composites, such as dielectric constant [2], thermal conductivity and electrical conductivity [7]; the percolation of electrical conductivity is usually found, but there are few reports on the percolation of thermal conductivity. The role of interface thermal resistance (ITR) in the thermal conductivity of nanocomposites was emphasized in recent studies [8,9], which improves the theoretical results based on the EMT, but the related work seems to be discussed only for the dilute limit [9]. Moreover, the intrinsic size effect of the thermal conductivity of nanoscale structures was not considered for composites based on the EMT. The study based on the Boltzmann transport equation considered both the interface and the size effects, but no percolation of thermal conductivity was found for nanocomposites [8]. In this paper, a general theoretical model about the effective thermal conductivity of nanocomposites in the whole range of volume fractions of the second phases is proposed based on the EMT by introducing both the intrinsic size effect and the ITR effect. The model predicts the percolation of the thermal conductivity for composites with nanoparticles or nanorods of smaller size.Based on quantum scattering theory and the Green's f...

show abstract

supporting

confidence: 79%

“…Note that, although the interface scattering term is not included in equation (4), the interface thermal resistance effect is included in equations (6) and (5), and there is no obvious difference in the obtained interface resistance values between the diffusive mismatch model (scattering limit) and the acoustic mismatch model for solidsolid interfaces [20].…”

mentioning

confidence: 99%

Thermal conductivity of composites with nanoscale inclusions and size-dependent percolation

Liang¹,

Wei²,

Li³

2008

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

show abstract

“…One (and historically the first) is the famous Landau-Khalatnikov solution discovered more than 50 years ago [1][2][3]. This is a 1+1 dimensional solution, and has realistic properties: it describes a 1+1 dimensional expansion, and does not lack acceleration.…”

Section: Introductionmentioning

confidence: 99%

Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics

2008

View full text Add to dashboard Cite

In this paper we describe in full details a new family of recently found exact solutions of relativistic, perfect fluid dynamics. With an ansatz, which generalizes the well-known Hwa-Bjorken solution, we obtain a wide class of new exact, explicit and simple solutions, which have a remarkable advantage as compared to presently known exact and explicit solutions: they do not lack acceleration. They can be utilized for the description of the evolution of the matter created in high energy heavy ion collisions. Because these solutions are accelerating, they provide a more realistic picture than the well-known Hwa-Bjorken solution, and give more insight into the dynamics of the matter. We exploit this by giving an advanced simple estimation of the initial energy density of the produced matter in high energy collisions, which takes acceleration effects (i.e. the work done by the pressure and the modified change of the volume elements) into account. We also give an advanced estimation of the life-time of the reaction. Our new solutions can also be used to test numerical hydrodynamical codes reliably. In the end, we also give an exact, 1+1 dimensional, relativistic hydrodynamical solution, where the initial pressure and velocity profile is arbitrary, and we show that this general solution is stable for perturbations.

show abstract

“…The only exception is the famous Landau-Khalatnikov (LK) solution, discovered more than 50 years ago [1][2][3]. This solution is a 1+1 dimensional, implicitly formulated but fully analytic solution of relativistic hydrodynamics.…”

mentioning

confidence: 99%

New family of simple solutions of relativistic perfect fluid hydrodynamics

2008

View full text Add to dashboard Cite

A new class of accelerating, exact and explicit solutions of relativistic hydrodynamics is foundmore than 50 years after the previous similar result, the Landau-Khalatnikov solution. Surprisingly, the new solutions have a simple form, that generalizes the renowned, but accelerationless, HwaBjorken solution. These new solutions take into account the work done by the fluid elements on each other, and work not only in one temporal and one spatial dimensions, but also in arbitrary number of spatial dimensions. They are applied here for an advanced estimation of initial energy density and life-time of the reaction in ultra-relativistic heavy ion collisions.

show abstract

“Josephson effect in thin films: The role of vortex excitations” Pis’ma Zh. Éksp. Teor. Fiz. 85, 74 (2007) [JETP Lett. 85, 67 (2007)]

Cited by 94 publications

References 0 publications

Thermal conductivity of composites with nanoscale inclusions and size-dependent percolation

Thermal conductivity of composites with nanoscale inclusions and size-dependent percolation

Detailed description of accelerating, simple solutions of relativistic perfect fluid hydrodynamics

New family of simple solutions of relativistic perfect fluid hydrodynamics

Contact Info

Product

Resources

About