Perspective on Physical Interpretations of Rényi Entropy in Statistical Mechanics
arXiv:2404.06436 · doi:10.1209/0295-5075/ad5d89
Abstract
Rényi entropy is a one-parameter generalization of Shannon entropy, which has been used in various fields of physics. Despite its wide applicability, the physical interpretations of the Rényi entropy are not widely known. In this paper, we discuss some basic properties of the Rényi entropy relevant to physics, in particular statistical mechanics, and its physical interpretations using free energy, replicas, work, and large deviation.
References in corpus (22)
- The large deviation approach to statistical mechanics
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum thermalization through entanglement in an isolated many-body system
- Thermodynamic formalism for systems with Markov dynamics
- Generalized information and entropy measures in physics
- The work value of information
- Ergodicity and large deviations in physical systems with stochastic dynamics
- Renyi Entropy and Free Energy
- Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations
- Detecting Classical Phase Transitions with Renyi Mutual Information
- Introducing one-shot work into fluctuation relations
- Large Deviations in the Free-Energy of Mean-Field Spin-Glasses
- Extensive Renyi Statistics from Non-Extensive Entropy
- Out-of-equilibrium protocol for Rényi entropies via the Jarzynski equality
- Exact Analytic Continuation with Respect to the Replica Number in the Discrete Random Energy Model of Finite System Size
- An overview of generalized entropic forms
- Rényi entropy, abundance distribution and the equivalence of ensembles
- Physical Generalizations of the Renyi Entropy
- The classical mutual information in mean-field spin glass models
- Thermodynamics of exponential Kolmogorov-Nagumo averages
- Nonadditivity in Quasiequilibrium States of Spin Systems with Lattice Distortion
- Large deviations of the free energy in the p-spin glass spherical model