Executive Summary : | Active matter is a special class of systems, which is inherently driven far away from equilibrium. The constituents of such systems, known as active particles, are capable of self propelling by their own in the environment. They consume energy from the environment and generate a spontaneous flow in the system. It is expected that such particles exhibit some interesting dynamical behaviour which are different from that of passive Brownian particles. The collection of bacteria, motile micro-sized organisms, microrobots, and hexbugs are some good examples of active matter. similarly flocking of birds and school of fishes, etc.. are also some apt examples of active matter. One of the main aspects of active matter is that these systems are always out of equilibrium since they self propel by their own. Therefore, it is quite challenging to model and study these systems using the conventional equilibrium statistical mechanics. Recently, this broad area of active matter has attracted enormous attention to researchers especially working in the field of Biophysics. There exists some standard models like active Brownian particle (ABP) model and the active Ornstein-Uhlenbeck particle (AOUP) model for investigating the dynamical behaviour of such active Brownian particles. These models are successful in resulting many interesting phenomena of such systems. For macroscopic systems, while self propelling in a lower viscous medium, inertia becomes prominent, plays an important role in the dynamics and poses new challenges in theoretical modelling of the dynamical behaviour. In the recent years, the inclusion of inertia in ABP models results some modifications in the fundamental properties of active systems, such as inertial delay, accumulation near boundary, motility induced phase transition, motility induced temperature difference between the coexisting phases and so on. However, the inertial effects have received only limited attention to the steady state transport properties and so on. Hence, the main objective of this proposal is to consider inertial active dynamics (especially AOUP model) and check how the inertial influence modulate the transport or dynamical behaviour of such systems in various situations of the dynamics. The charged Brownian dynamics under the action of magnetic field is an old problem. Being motivated by the recent findings of inertial active systems, the main objective of our proposed research is to look at both the transport as well as magnetic properties of charged active Brownian particle under the action of magnetic field in both single particle and collective level. The dynamics of particle in both viscous as well as viscoelastic suspension will be investigated separately. Further we are interested in investigating the relaxation behaviour of the dynamics by measuring the degree of irreversibility in terms of nonequilibrium temperature of the system. |