
Dr Elsen Tjhung
Lecturer In Applied Mathematics
Biography
Statistical Physics of Soft and Active Matter
Soft matter encompasses a wide range of materials with complex microscopic interactions but surprisingly simple macroscopic behavior. Examples include liquid crystals in your laptop screen, emulsions in mayonnaise, and colloidal suspensions found in many household products. Although these systems may involve intricate molecular details—such as hydrogen bonding or complex chemical interactions—their large-scale properties are often governed by universal principles. A key result in statistical physics states that the macroscopic behavior of such systems can often be understood purely in terms of symmetries, much like how the Standard Model of particle physics is built on symmetry principles.
Active matter extends these ideas to systems composed of self-driven units that consume energy to sustain motion or internal processes. This includes biological systems such as bacterial suspensions, epithelial cell layers, and motor-protein-driven cytoskeletal filaments, as well as synthetic active materials like self-propelled colloids. Unlike equilibrium soft matter, active systems inherently operate out of thermal equilibrium, leading to striking phenomena such as spontaneous flow, motility-induced phase separation, and emergent collective behaviors that defy classical thermodynamic intuition. Despite their complexity, the statistical physics of active matter seeks to uncover universal laws governing these systems, often through symmetry arguments and coarse-grained hydrodynamic descriptions. Understanding these principles has profound implications for biology, materials science, and even the fundamental theory of non-equilibrium statistical mechanics.
Teaching interests
PhD project and funding are available in my group on a competitive basis. Please have a look at this webpage for general PhD admission to the School of Maths and Stats: https://www.open.ac.uk/stem/mathematics-and-statistics/study-us/phd-research
Author of Unit 10: Case Study: Signal Analysis and the Fast Fourier Transform, from the module MST374: Computational Applied Mathematics.
External collaborations
Commitee membership:
- IOP Theory of Condensed Matter Special Interest Group, Ordinary Member.
Projects
Thermodynamics of Growing Active and Living Matter
When we learnt classical thermodynamics from undergraduate physics/chemistry, we often assumed a large number of particles ~10^23, equilibrium, and quasi-static process. In this very restrictive limit, thermodynamic quantities such as heat dissipation Q, can be computed using the textbook formula Q= T\Delta S, where S is the configurational entropy. However, in real lives, most physical processes are neither quasi-static nor equilibrium. Furthermore, in many biological systems, the number of degrees of freedom is also much less than 10^23, and in this regime, thermal fluctuations become important. Thus, thermodynamic quantities such as heat, work and entropy need to be redefined properly (Stochastic Thermodynamics). The first aim of this research is to extend the theory of stochastic thermodynamics to include birth and death process, e.g., cellular division and apoptosis in living tissues and growing bacterial colonies. One important application of stochastic thermodynamics is the prospects of biological machines, which are powered by the swimming motility in some bacteria, or even cellular division and apoptosis in our bodies. For instance, it has been well known experimentally and theoretically that if we place an asymmetric cog inside a bath full of swimming bacteria, the cog can somehow rotate persistently in one direction. The bacteria themselves, in the absence of the cog, swim in a completely random direction; and yet the interaction between the bacteria and the asymmetric cog can break time reversal symmetry to create a macroscopic unidirectional current. Although this phenomenon has been well established in motile active matter (such as swimming bacteria), very little is known about non-motile growing active matter (such as cell division and apoptosis in living tissues and bacterial colonies). In this research, I will explore cellular division and apoptosis as a new route to the development of biological machines. This is important because unlike cell motility, cell division and apoptosis are universal properties of living matter. My design principles for such machines will pave the way for future possible applications in healthcare technologies and tissue engineering, such controlling the growth of tissue using non-uniform scaffolding. Finally, I will investigate the thermodynamic properties of these machines. In particular, I will quantify the informatic entropy production of the birth and death process inside biological tissues and bacterial colonies, i.e., particles dividing into two and disappearing elsewhere. To achieve this, I will extend the current theory of stochastic thermodynamics to include birth and death process and stochastic processes that are much faster than quasi-static (i.e., quenching). This information will be crucial in understanding how time reversal symmetry breaking at small scales (i.e., cell cycle) can be translated into large scales (i.e., collective motion in tissues and bacterial colonies). Apart from obvious applications to active/living matter, my research will also help to transform the science of thermodynamics, such as understanding the energy flow in a quenching process and/or processes close to a critical point, where thermal fluctuations are important.
Publications
Journal Article
Hydrodynamics of a disk in a thin film of weakly nematic fluid subject to linear friction (2024)
Stochastic Hydrodynamics of Complex Fluids: Discretisation and Entropy Production (2022)
Capillary Interfacial Tension in Active Phase Separation (2021)
Thermodynamics of Active Field Theories: Energetic Cost of Coupling to Reservoirs (2021)