1. Introduction

The computational knowledge of thermophysical properties is very different of complex liquids as compared to the nonionic liquids. The important thermal conductivity of complex liquids is used in the heat design process as an important parameter. The estimations of thermal conductivity obtained by applying the molecular dynamics (MD) approach in liquids and crystalline solids are a difficult job due to perceived limitations of computational power [1]. Recently, in the field of science and technology, the transport properties of interacting particles in complex nonideal systems are of practical importance. A deep understanding of the interaction of complex systems is required for nano- and microstructuring of surfaces. The micron-size particles have recently been investigated in complex (dusty) plasmas, and in the physics and chemistry of plasmas, space environment, ionized gases, and material research and in the nuclear energy generation. The complex (dusty)

plasmas play very important role in various technological applications, such as industrial processing of microelectronic devices, storage devices, and fuel burning, and future energy production [2]. For the explanation and understanding of these macroscopic phenomena, a comprehensive microscopic knowledge and calculation of the transport properties of complex (dusty) plasmas are required over the extensive range of plasma parameters (Г, к). Both the Coulomb coupling (Г) and Debye screening strength (к) are the dimensionless parameters, which can be used to characterize the plasma. In statistical mechanics, the microscopic dynamical origin of heat transport is a fundamental problem. Moreover, the purpose of the present work is to investigate the thermal conductivity dependences on the strength of different perturbation fields and to understand the non-Newtonian behaviors in the Yukawa liquids along with the calculations of thermal conductivity.

discuss only two parameters, Coulomb coupling (Г) and the Debye screening

Non-Newtonian Dynamics with Heat Transport in Complex Systems

The Coulomb coupling (Г) parameter is the ratio between the interparticle potential energy (P.E) to kinetic energy (K.E), and mathematically, it is written as,

<sup>K</sup>:E. This Coulomb coupling (Г) parameter is used for the classification of strongly coupled complex (dusty) plasmas and weakly coupled complex (dusty)

Another important parameter of dusty plasmas is the screening strength (к), which is the ratio of interparticle distance to the Debye length, and mathematically,

On the basis of Coulomb coupling (Г) parameter, the complex (dusty) plasmas are classified into two classes: one is called weakly coupled (ideal) complex (dusty) plasmas and the other is called strongly coupled (nonideal) complex (dusty)

For weakly coupled complex (dusty) plasmas (WCCDPS), the Coulomb coupling parameter (Г) is less than the unity (Г < 1), and it also called the weakly coupled ideal plasmas because Columbic collisions are negligible. Weakly coupled plasmas, like a gas, have no structure because Coulombic interactions are negligible between the particles and particle motion is like molecular motion in gases and particles have nearly random positions with respect to nearest neighbors [7]. For WCCDPS, the K.E (thermal energy) is much larger than the Coulomb interparticle

When the Coulomb coupling parameter (Г) is greater than the unity (Г > 1), then the plasma is known as strongly coupled (nonideal) complex plasmas. For weak-to-intermediate Coulomb coupling (Г) values, the SCCDPS can have structure of liquids, and structure of solids for higher values of Г. Furthermore, SCCDPS are the collection of free microparticles that interact with each other with a strong Coulomb repulsion force and have structure at microscopic scale for the arrangement of particles. The particle motion in SCCDPS resembles that in the liquids or solids, and particles remain in relative fixed positions with respect to neighboring particles because of the strong Coulomb interactions present between the charged particles [7]. In SCCDPS, the Coulomb interaction P.E is much larger than the K.E of

Debye length. The screening parameter (к) is also used for the classification of

, here "a" is the Wigner-Seitz (WS) radius and "λD" is the

strength (к).

<sup>Г</sup> <sup>¼</sup> <sup>P</sup>:<sup>E</sup>

plasmas.

1.2.1 Coulomb coupling parameter (Г)

DOI: http://dx.doi.org/10.5772/intechopen.82291

1.2.2 Screening parameter (к)

1.3 Types of dusty plasmas

P.E of nearest particles.

nearby particles.

171

λD

plasmas. These are succinctly discussed below.

1.3.1 Weakly coupled complex (dusty) plasmas

1.3.2 Strongly coupled complex (dusty) plasmas

it is written as <sup>к</sup> <sup>¼</sup> <sup>a</sup>

dusty plasmas.
