An Overview of Emergent Order in Far-from-equilibrium Driven Systems: From Kuramoto Oscillators to Rayleigh-B\'enard Convection

Soft-matter systems when driven out-of-equilibrium often give rise to structures that usually lie in-between the macroscopic scale of the material and microscopic scale of its constituents. In this paper we review three such systems, the two-dimensional square-lattice Ising model, the Kuramoto model and the Rayleigh-B\'enard convection system which when driven out-of-equilibrium give rise to emergent spatio-temporal order through self-organization. A common feature of these systems is that the entities that self-organize are coupled to one another in some way, either through local interactions or through a continuous media. Therefore, the general nature of non-equilibrium fluctuations of the intrinsic variables in these systems are found to follow similar trends as order emerges. Through this paper, we attempt to find connections between these systems, and systems in general which give rise to emergent order when driven out-of-equilibrium.Comment: Submitted to Entrop

Experimental and Computational Studies in Far-from-equilibrium Systems like Rayleigh-Bènard Convection

Far-from-equilibrium systems are still hard to study and the field is a work in progress, however, they can still be modelled using novel techniques within a wide array of experimental, computational and analytical approaches. In this report, we study one such system, the steady-state Rayleigh-Bènard Convection. An important observation we were able to see through the current study was how temperature took on a time independent trait yet maintained a spatially varying character. Our study employs a unique technique by using an Infrared camera to extrapolate thermal profiles and present it statistically. On a further note, the report also discusses the different approaches that can be adapted to extend the current study to turbulence, complex networks and information theory

Initiation of Laboratory Website

The goal of this project is to create an editable website dedicated to communicating the research conducted in the Order-Disorder Phenomena Laboratory (ODPL). The website will serve as a repository for the latest research in progress which will include papers published and conferences presented at by the members of the laboratory. This will not only serve as a database for all their work, but will also bring in recognition to the work produced at the laboratory. Initial procedures of setting the style of all the webpages and making templates have been accomplished and documentation is provided for an individual to create his/her own page and also update current work at the lab using Google Sites. The website was created using HTML and CSS