On the Brownian Motion: From Classical to Quantal

In this book, We formulate a model to describe the relaxation of single domain magnetic nanoparticles to incorporate the effect of dipolar interaction as well as particle size distribution on the measured relaxation spectra and irreversible, nonequilibrium magnetization response in field-cooled (FC) and zero-field-cooled (ZFC) cases. Further, we analyze the slow dynamics and concomitant memory (aging) effects seen in nanomagnetic systems on the basis of two separate paradigms : superparamagnets and spinglasses. Then, we study the long-time behaviour of an underdamped Brownian particle moving through a viscous medium in a periodic potential in the presence of an externally applied space-dependent highly oscillating force. The effect of dissipation and the essential role of the boundary is clarified in the context of dissipative diamagnetism. Finally, we present an overview of coherence-to-decoherence transition in the realm of dissipative diamagnetism at zero temperature.

Autorentext

Dr. Malay Bandyopadhyay did his Ph.d from S. N. Bose Centre in 2007. Now, he is a postdoctoral teaching assistant at the University of Toronto. He has published 16 papers in referred international journals. His research areas cover the relaxation phenomena in nanomagnetic systems, quantum dissipation, and stochastic nonequilibrium systems.