Continuity of the entropy of macroscopic quantum systems.
@article{Swendsen2015ContinuityOT, title={Continuity of the entropy of macroscopic quantum systems.}, author={Robert H. Swendsen}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2015}, volume={92 5}, pages={ 052110 } }
The proper definition of entropy is fundamental to the relationship between statistical mechanics and thermodynamics. It also plays a major role in the recent debate about the validity of the concept of negative temperature. In this paper, I analyze and calculate the thermodynamic entropy for large but finite quantum mechanical systems. A special feature of this analysis is that the thermodynamic energy of a quantum system is shown to be a continuous variable, rather than being associated with…
12 Citations
Thermodynamics, Statistical Mechanics and Entropy
- PhysicsEntropy
- 2017
The postulates for thermodynamics are examined critically, and some modifications are suggested to allow for the inclusion of long-range forces, inhomogeneous systems with non-extensive entropy, and systems that can have negative temperatures.
Thermodynamics of finite systems: a key issues review
- PhysicsReports on progress in physics. Physical Society
- 2018
This paper will show that standard thermodynamics, with some minor generalizations, is correct, and the alternative thermodynamics suggested by Hilbert, Hänggi, and Dunkel is not, and that negative temperatures are thermodynamically consistent.
Entropy and the second law for driven, or quenched, thermally isolated systems
- Computer Science, Physics
- 2020
Resolving the debate about proposed expressions for the classical entropy
- Physics
- 2017
Despite well over a century of effort, the proper expression for the classical entropy in statistical mechanics remains a subject of debate. The Boltzmann entropy (calculated from a surface in phase…
Microcanonical analysis of Boltzmann and Gibbs entropies in trapped cold atomic gases
- PhysicsPhysica A: Statistical Mechanics and its Applications
- 2019
Thermal Pure States for Finite and Isolated Quantum Systems.
- PhysicsThe journal of physical chemistry. A
- 2017
A general methodology to generate quantum states according to the TRE statistic is introduced, and the sampling is employed to characterize the ensemble distribution of thermodynamic functions like the entropy, internal energy, and temperature.
References
SHOWING 1-10 OF 22 REFERENCES
An Introduction to Statistical Mechanics and Thermodynamics
- Physics
- 2012
This is a textbook on statistical mechanics and thermodynamics. It begins with the molecular nature of matter and the fact that we want to describe systems containing many (1020) particles. The first…
Thermodynamics and an Introduction to Thermostatistics
- Physics
- 1960
GENERAL PRINCIPLES OF CLASSICAL THERMODYNAMICS. The Problem and the Postulates. The Conditions of Equilibrium. Some Formal Relationships, and Sample Systems. Reversible Processes and the Maximum Work…
Choosing a Definition of Entropy that Works
- Computer Science
- 2012
The consequences of differing definitions of the thermodynamic entropy of macroscopic systems are examined and a definition based on probabilities is argued in favor.
Thermodynamic laws in isolated systems.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014
A detailed comparison of the most commonly considered microcanonical entropy definitions shows that, for a broad class of systems that includes all standard classical Hamiltonian systems, only the Gibbs volume entropy fulfills all three laws of thermodynamics simultaneously.
Thermodynamics and Statistical Mechanics at Negative Absolute Temperatures
- Physics
- 1956
A thermodynamic system that is in internal thermodynamic equilibrium, that is otherwise essentially isolated, and that has an energetic upper limit to its allowed states can possess a negative temperature.
Statistical Mechanics of Classical Systems with Distinguishable Particles
- Computer Science
- 2002
The properties of classical models of distinguishable particles are shown to be identical to those of a corresponding system of indistinguishable particles without the need for ad hoc corrections. An…
Gibbs' Paradox and the Definition of Entropy
- Physics, Computer ScienceEntropy
- 2008
Gibbs’ Paradox is shown to arise from an incorrect traditional definition of the entropy that has unfortunately become entrenched in physics textbooks, which predicts a violation of the second law of thermodynamics when applied to colloids.
Gibbs volume entropy is incorrect.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015
We show that the expression for the equilibrium thermodynamic entropy contains an integral over a surface in phase space, and in so doing, we confirm that negative temperature is a valid…
Construction of microcanonical entropy on thermodynamic pillars.
- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015
The prototypical example of a macroscopic collection of noninteracting spins in a magnetic field is illustrated, and it is shown that the Boltzmann entropy severely fails to predict the magnetization, even in the thermodynamic limit.
From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
- Physics
- 1998
Derivation of the canonical (or Boltzmann) distribution based only on quantum dynamics is discussed. Consider a closed system which consists of a mutually interacting subsystem and a heat bath, and…