Parth Bhargava
Physics Undergraduate | National University of Singapore
A quiet research notebook on complex systems, nonlinear dynamics, and the habits of experimental and computational work.
About
I'm a second-year physics student building toward research in complex systems and nonlinear dynamics. This site is a public notebook of experiments, simulations, and ideas in progress.
I care about how simple rules generate structure across scales: nonlinear dynamics, emergence, and the geometry behind physical systems. I learn by building models, running measurements, and writing down what fails as much as what works.
I'm looking for research environments that value careful thinking, honest uncertainty, and iterative work with mentorship.
Projects
Driven Quadruple Pendulum
Simulated chaotic dynamics of a driven, damped quadruple pendulum; custom RK4 integrator with LU decomposition, Poincaré sections, bifurcation diagrams, and Lyapunov divergence. Co-authored with Soham Bhar.
Quantum Wavepacket Visualization
3D wavepacket dynamics for barrier scattering using Crank-Nicolson finite differences and absorbing boundary conditions. Focus on stability, resolution, and interpretation.
Show more projects
Quantum Harmonic Oscillator Dynamics
Eigenstate decomposition and time evolution in harmonic potentials. Built to connect analytic structure with numerical behavior and visualization.
Coursework
Experimental Work
Raman Spectroscopy
Characterised carbon allotropes via D/G band ratios, estimated graphene layer count, and identified an unknown semiconductor wafer from its 521 cm⁻¹ mode.
Paschen Curve & Gas Discharge
Mapped breakdown voltage vs. electrode gap at three pressures; extracted the second Townsend coefficient and identified the avalanche-to-streamer transition.
Show more experiments
TRIM Ion Transport Simulation
Monte Carlo simulations of ion range, damage, and sputtering across nuclear microscopy, semiconductor implantation, and proton therapy applications.
Hall Effect in Semiconductors
Measured Hall voltage and magnetoresistance across temperature to extract carrier type, mobility, and the intrinsic transition; includes uncertainty analysis.
Electron Spin Resonance (ESR)
Extracted g-factor from frequency–field measurements; analyzed Zeeman splitting and systematics.
X-Ray Fluorescence Analysis
Qualitative elemental identification of unknowns and quantitative brass composition via Gaussian deconvolution of overlapping K-lines.
X-Ray Diffraction Analysis
Used Bragg peaks to determine lattice constants and identify an unknown crystal; report documents calibration limits.
Laue Diffraction & X-Ray Crystallography
Indexed Laue back-reflection patterns and determined lattice parameters; combined with powder XRD for crystal identification.
Magnetic Moment in Helmholtz Field
Calibrated Helmholtz field constant and tested scaling laws; corrected a model assumption during analysis.
Propagation of Laser Light (PLL)
Measured Gaussian beam parameters and beam quality; report focuses on fitting and measurement limits.
Fluorescence Spectroscopy: Protein Unfolding
Tracked acid denaturation of BSA and lysozyme via intrinsic Trp/Tyr fluorescence; observed emission shifts and intensity changes tied to tertiary structure loss.
Circular Dichroism: Protein Secondary Structure
Monitored α-helical content of BSA and lysozyme under acid denaturation using far-UV CD; lysozyme's disulfide bonds preserved its secondary structure.
Fluorescence Microscopy: Cellular Structure
Imaged Hoechst-stained onion epidermal and cheek epithelial cells; compared brightfield and fluorescence contrast for nuclear localisation.
Notes and Assignments
Assignments
Classical Mechanics II (PC3261)
- CMA 1
- CMA 2
- CMA 3
- CMA 4
- CMA 5
- CMA 6
- CMW 2
- CMW 4
- CMW 5
- CMW 6
- CMW 7
- CMW 8
- CMW 9
- CMW 10
- CMW 11
- CMW 12
- CMW 13
- CMW 14
- CMW 15
- CMW 16
- CMW 17
- CMW 18
- CMW 19
- CMW 20
- CMW 21
- CMW 22
- CMW 23
- CMW 24
Thermodynamics & Statistical Mechanics (PC2135)
- Assignment 1
- Assignment 2
- Assignment 3
- Assignment 4
- Assignment 5
- Assignment 6
- Assignment 7
- Assignment 8
- Assignment 9
- Assignment 10
- Assignment 11
- Assignment 12