Response Theory and Phase Transitions

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Related lectures (29)

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System Variables and Types of Systems

Covers system variables, types of systems, and process control in static and dynamic systems.

Convolution and Laplace Transform

Explores control of dynamic systems, impulse response, Laplace transform, and Fourier transform for solving differential equations.

Linear Response in High-Dimensional Systems

Explores linear response in high-dimensional systems, covering theory, practice, and implications of non-hyperbolicity and inhomogeneous subsystems.

Stochastic Models for Communications: Continuous-Time Stochastic Processes

Covers continuous-time stochastic processes and linear systems.

Dynamical Systems for Engineers

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

Equilibrium Points and Bifurcations

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

Phase Transitions in Energy Systems

Explores phase transitions in energy systems, including non-analytic behavior and the Ising model.

Frequency Response and Filters

Explores frequency response properties, system composition, and frequency-selective filters in LTI systems, emphasizing the importance of magnitude.

GFF Convergence and Six Vertex Models: Phase Transitions

Covers GFF convergence and the six vertex model's phase transitions.

Dynamics of Simple Pendulum and Lorenz Equations

Explores the dynamics of a simple pendulum and the intriguing Lorenz equations, highlighting sensitivity to initial conditions and the transition to chaos.