Possible extended forms of thermodynamic entropy
arXiv:1309.7131 · doi:10.1088/1742-5468/2014/01/P01004
Abstract
Thermodynamic entropy is determined by a heat measurement through the Clausius equality. The entropy then formalizes a fundamental limitation of operations by the second law of thermodynamics. The entropy is also expressed as the Shannon entropy of the microscopic degrees of freedom. Whenever an extension of thermodynamic entropy is attempted, we must pay special attention to how its three different aspects just mentioned are altered. In this paper, we discuss possible extensions of the thermodynamic entropy.
15 pages, contribution to STATPYHS25 Special Issue; minor revisions are made in ver.2; some typos are fixed in ver.3. This version will be published in JSTAT
References in corpus (2)
Cited by in corpus (14)
- Improving thermodynamic bounds using correlations
- Derivation of Hydrodynamics from the Hamiltonian description of particle systems
- Limits of Predictions in Thermodynamic Systems: A Review
- Geometric decomposition of entropy production into excess, housekeeping and coupling parts
- Mathematical, Thermodynamical, and Experimental Necessity for Coarse Graining Empirical Densities and Currents in Continuous Space
- Exact equalities and thermodynamic relations for nonequilibrium steady states
- Collective Dynamics from Stochastic Thermodynamics
- Numerical examination of steady-state thermodynamics from the entropy connected to the excess heat
- Excess entropy production in quantum system: Quantum master equation approach
- Fluctuation theorems for excess and housekeeping heats for underdamped systems
- On the steady state probability distribution of nonequilibrium stochastic systems
- Continuous time-reversal and equality in the thermodynamic uncertainty relation
- Thermodynamics of stationary states of the ideal gas in a heat flow
- Anomalous Enhancement of Entanglement Entropy in Nonequilibrium Steady States Driven by Zero-Temperature Reservoirs