Course 1: Statistical mechanics of complex networks— Sitabhra Sinha
Tutorial/Assignments:
Reading 1: M. Boguna et al, "Absence of Epidemic Threshold in Scale-Free Networks with Degree Correlations"
Reading 2 : C. Kuyyamudi et al, "Emergence of frustration signals systemic risk"
Course 2: Bacterial Chemotaxis— Sakuntala Chatterjee
TBA
Course 3: Physics of the Glass Transition— Ludovic Berthier
TBA
Course 4: Stochastic Resetting— Arnab Pal
Outline:
These lectures aim at introducing the concept of resetting, starting from the fundamentals. The objective is to teach theoretical tools, derive the key results and then show how they can be applied in practice.
Content:
Lecture 1: Preliminaries on diffusion, Fokker-Planck equation, and Poisson process. Introduction to resetting; diffusion with resetting; methods; steady state and transient properties
Lecture 2: First passage properties of diffusion under resetting
Lecture 3: Why and when resetting works? Theory of optimal resetting rate and connection to the “Inspection Paradox”
Lecture 4: Application I – Home range search and lessons gathered from experiments on resetting
Lecture 5: Application II – Chemical kinetics and Queues
Tutorial:
Observable statistics under resetting and other results if time permits.
Course 5: Hydrodynamics of stochastic lattice gases— Herbert Spohn
Textbooks, lecture courses:
- P. Krapivsky, S. Redner and E. Ben-Naim, A Kinetic Point of View of Statistical Physics, Cambridge University Press (2002).
- Hal Tasaki, Introductory Lectures on Nonequilibrium Statistical Mechanics, https://www.gakushuin.ac.jp/ 881791/OL/ne/e/
- H. Spohn, Large Scale Dynamics of Interacting Particles, Part II, Texts and Monographs in Physics, Springer Verlag (1991).
Review articles:
- B. Derrida, An exactly soluble non-equilibrium system: The asymmetric simple exclusion process, Physics Reports 301, 65-83 (1998).
- J. Krug, Origins of scale invariance in growth processes, Adv. Phys. 46, 139-282 (1997).
- T. Halpin-Healy and K. Takeuchi, A KPZ cocktail-shaken, not stirred: Toasting 30 years of kinetically roughened surfaces, J. Stat. Phys. 160, 794-814 (2015).
- A. Lazarescu, The physicist’s companion to current fluctuations: one-dimensional bulk-driven lattice gases, J. Phys. A 48, 503001 (2015).
- S. Lepri, R. Livi and A. Politi, eds., Thermal transport in low dimensions: from statistical physics to nanoscale heat transfer, Lecture Notes in Physics, Springer, 2016.
- G.M. Sch ̈utz, Exactly solvable models for many-body systems far from equilibrium, Phase Transitions and Critical Phenomena, ed. J.L. Lebowitz, 1-251, Academic Press (2001).
- H. Spohn, Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals, Physica A 369, 71-99 (2006).
- H. Spohn, The Kardar-Parisi-Zhang equation - a statistical physics perspective, Les Houches Summer School July 2015 session CIV “Stochastic processes and random matrices”, Oxford University Press, 2017.
- K. Takeuchi, An appetizer to modern developments on the Kardar-Parisi-Zhang universality class, Physica A 504, 77-105 (2018).
Research articles:
I. Dornic, H. Chat ́e, J. Chave and H. Hinrichsen, Critical coarsening without surface tension: The universality class of the voter model, Phys. Rev. Lett. 87, 045701 (2001).
Lecture Notes:
Lecture notes 1-3: Link
Lecture notes 4-5: Link
Course 6: Collective dynamics of complex systems— Ram Ramaswamy
Tutorial: Link