6 papers · 1 filter
Microscopic Dynamical Entropy II: Statistical and Stochastic Thermodynamics of Hamiltonian Systems
Mingnan Ding, Michael E. Cates
The Microscopic Dynamical Entropy (MDE) introduced in Ref. [1] describes irreversible relaxation of selected variables x within a finite closed Hamiltonian system of fixed total en…
Microscopic Dynamical Entropy I: Quantifying Hamiltonian Irreversibility in Large and Small Systems
Mingnan Ding, Michael E. Cates
We introduce a Microscopic Dynamical Entropy (MDE) for Hamiltonian systems, defined with respect to a chosen partition of degrees of freedom into a system X and its environment Y.…
Non-equilibrium coupling to a diffusing density breaks Ising universality
Mattia Scandolo, Johannes Pausch, Michael E. Cates +1
The Ising universality class is remarkably robust to non-equilibrium perturbations, which generically flow to zero under renormalization. We show that this robustness fails when an…
Hyperuniformity at the Absorbing State Transition: Perturbative RG for Random Organization
Xiao Ma, Johannes Pausch, Gunnar Pruessner +1
Hyperuniformity, where the static structure factor obeys with , emerges at criticality in systems having multiple, symmetry-unrelated, absorbing states. Impo…
Geometric theory of (extended) time-reversal symmetries in stochastic processes -- Part II: field theory
Jérémy O'Byrne, Michael E. Cates
In this article, we study the time-reversal properties of a generic Markovian stochastic field dynamics with Gaussian noise. We introduce a convenient functional geometric formalis…
Hamiltonian Heat Baths, Coarse-Graining and Irreversibility: A Microscopic Dynamical Entropy from Classical Mechanics
Mingnan Ding, Michael E. Cates
The Hamiltonian evolution of an isolated classical system is reversible, yet the second law of thermodynamics states that its entropy can only increase. This has confounded attempt…