# Removing Heat and Conceptual Loops from the Definition of Entropy

@article{Zanchini2010RemovingHA, title={Removing Heat and Conceptual Loops from the Definition of Entropy}, author={E. Zanchini and G. Beretta}, journal={International Journal of Thermodynamics}, year={2010}, volume={13}, pages={67-76} }

A rigorous and general logical scheme is presented, which provides an operative non-statistical definition of entropy valid also in the nonequilibrium domain and free of the usual conceptual loops and unnecessary assumptions that restrict the traditional definition of entropy to the equilibrium domain. The scheme is based on carefully worded operative definitions for all the fundamental concepts employed, including those of system, state of a system, isolated system, separable system, systems… Expand

#### 17 Citations

New definitions of thermodynamic temperature and entropy not based on the concepts of heat and thermal reservoir

- Physics
- 2019

From a new rigorous formulation of the general axiomatic foundations of thermodynamics we derive an operational definition of entropy that responds to the emergent need in many technological… Expand

Recent Progress in the Definition of Thermodynamic Entropy

- Mathematics, Computer Science
- Entropy
- 2014

The principal methods for the definition of thermodynamic entropy are discussed with special reference to those developed by Carath\'eodory, the Keenan School, Lieb and Yngvason, and the present… Expand

A definition of thermodynamic entropy valid for non-equilibrium states and few-particle systems

- Mathematics, Physics
- 2014

From a new rigorous formulation of the general axiomatic foundations of thermodynamics we derive an operational definition of entropy that responds to the emergent need in many technological… Expand

A RIGOROUS DEFINITION OF ENTROPY WITHOUT THE CONCEPTS OF HEAT AND OF EMPIRICAL TEMPERATURE

- 2013

EXTENDED ABSTRACT Several methods for the definitions of thermodynamic temperature and entropy have been developed in the literature: three of these methods deserve a special attention. The… Expand

Hierarchical Structure of Generalized Thermodynamic and Informational Entropy

- Mathematics, Medicine
- Entropy
- 2018

The present research aimed at discussing the thermodynamic and informational aspects of entropy concept to propose a unitary perspective of its definitions as an inherent property of any system in… Expand

A Method to Derive the Definition of Generalized Entropy from Generalized Exergy for Any State in Many-Particle Systems

- Mathematics, Computer Science
- Entropy
- 2015

A first novelty proposed in the present study is that mechanical energy, determined by pressure and transferred by work interactions, is also characterized by the entropy property. Expand

On Equivalence of Nonequilibrium Thermodynamic and Statistical Entropies

- Mathematics, Computer Science
- Entropy
- 2015

It is shown that the number of microstates in the Boltzmann entropy includes all possible microstates of non-zero probabilities even if the system is trapped in a disjoint component of the microstate space. Expand

On the possibility of deriving the generalized entropy from generalized exergy formulation

- Mathematics
- 2014

Abstract: The present study aims at investigating about the possibility of generalizing the canonical entropy-exergy relationship and at deriving the generalized entropy by defining a generalized… Expand

Kinetic pathways of ordering and phase separation using classical solid state models within the steepest-entropy-ascent quantum thermodynamic framework

- Materials Science
- 2020

Abstract The kinetics of ordering and concurrent ordering and phase separation are analyzed with an equation of motion initially developed to account for dissipative processes in quantum systems. A… Expand

Chemical and Mechanical Aspect of Entropy-Exergy Relationship

- Medicine
- Entropy
- 2021

The present research focuses the chemical aspect of entropy and exergy properties. This research represents the complement of a previous treatise already published and constitutes a set of concepts… Expand

#### References

SHOWING 1-10 OF 40 REFERENCES

Thermodynamics: Energy of nonsimple systems and second postulate

- Physics
- 1992

SummaryBy means of new definitions of separable system, separable state and energetic process, the first postulate of thermodynamics and the definition of energy are rigorously extended to nonsimple… Expand

Maximum entropy production principle in physics , chemistry and biology

- 2006

The tendency of the entropy to a maximum as an isolated system is relaxed to the equilibrium (the second law of thermodynamics) has been known since the mid-19th century. However, independent… Expand

Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism

- Physics
- 1997

For a number of well-known time-evolution equations for nonequilibrium systems we extract a common structure from these equations, referred to as a general equation for the nonequilibrium… Expand

Use of mutual information to decrease entropy: Implications for the second law of thermodynamics.

- Physics, Medicine
- Physical review. A, General physics
- 1989

The correlations induced between different particle modes during the expansion phase allow the modes to behave like Maxwell's demons during the contracting phase, reducing the entropy of the universe to a low value. Expand

Dynamics and thermodynamics of complex fluids. I. Development of a general formalism

- Physics
- 1997

We recognize some universal features of macroscopic dynamics describing the approach of a well-established level of description (that is, successfully tested by experimental observations) to… Expand

Thermodynamics “beyond” local equilibrium

- Physics, Medicine
- Proceedings of the National Academy of Sciences of the United States of America
- 2001

It is shown that diffusion processes that occur far away from equilibrium can be viewed as at local equilibrium in a space that includes all the relevant variables in addition to the spatial coordinate and the difficulties and ambiguities associated with the lack of a thermodynamic description disappear. Expand

Reciprocal Relations in Irreversible Processes. I.

- Physics
- 1931

Examples of coupled irreversible processes like the thermoelectric phenomena, the transference phenomena in electrolytes and heat conduction in an anisotropic medium are considered. For certain cases… Expand

Treatise on Thermodynamics

- Nature
- 1903

THE important part played by thermodynamics in modern physics, and especially in chemistry, is a sure guarantee that an English translation of Prof. Planck's work will receive a warm welcome in this… Expand

Quantum solution to the arrow-of-time dilemma.

- Physics, Medicine
- Physical review letters
- 2009

It is shown that, within a quantum mechanical framework, all phenomena which leave a trail of information behind are those where entropy necessarily increases or remains constant, and physics cannot study those processes where entropy has decreased, even if they were commonplace. Expand

Nonlinear quantum evolution with maximal entropy production

- Physics
- 2001

We derive a well-behaved nonlinear extension of the non-relativistic Liouville-von Neumann dynamics driven by maximal entropy production with conservation of energy and probability. The pure state… Expand