A farewell to entropy :: statistical thermodynamics based on information : S=logW /
"The principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term "entropy" with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. Thi...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, N.J. :
World Scientific,
©2008.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "The principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term "entropy" with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the "driving force" of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy." "It has been 140 years since Clausius coined the term "entropy"; almost 50 years since Shannon developed the mathematical theory of "information"--Subsequently renamed "entropy." In this book, the author advocates replacing "entropy" by "information," a term that has become widely used in many branches of science."--Jacket. |
| Beschreibung: | 1 online resource (xxv, 384 pages) : illustrations (some color) |
| Bibliographie: | Includes bibliographical references (pages 373-379) and index. |
| ISBN: | 9789812790736 981279073X |
Internformat
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| 245 | 1 | 2 | |a A farewell to entropy : |b statistical thermodynamics based on information : S=logW / |c Arieh Ben-Naim. |
| 246 | 3 | |a S=logW | |
| 260 | |a Hackensack, N.J. : |b World Scientific, |c ©2008. | ||
| 300 | |a 1 online resource (xxv, 384 pages) : |b illustrations (some color) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references (pages 373-379) and index. | ||
| 505 | 0 | |a 1. Introduction -- A brief history of temperature and entropy -- The association of entropy with disorder -- The association of entropy with missing information -- 2. Elements of probability theory -- Introduction -- The axiomatic approach -- The classical definition -- The relative frequency definition -- Independent events and conditional probability -- Bayes' Theorem -- Random variables, average, variance and correlation -- Some specific distributions -- Generating functions -- The law of large numbers -- 3. Elements of information theory -- A qualitative introduction to information theory -- Definition of Shannon's information and its properties -- The various interpretations of the quantity H -- The assignment of probabilities by the maximum uncertainty principle -- The missing information and the average number of binary questions needed to acquire it -- The false positive problem, revisited -- The urn problem, revisited -- 4. Transition from the general MI to the thermodynamic MI -- MI in binding systems: one kind of information -- Some simple processes in binding systems -- MI in an ideal gas system: two kinds of information. The Sackur-Tetrode Equation -- Comments -- 5. The structure of the foundations of statistical thermodynamics -- The isolated system; the micro-canonical ensemble -- System in a constant temperature; The canonical ensemble -- The classical analog of the canonical partition function -- The re-interpretation of the Sackur-Tetrode expression from informational considerations -- Identifying the parameter ß for an ideal gas -- Systems at constant temperature and chemical potential; The grand canonical ensemble -- Systems at constant temperature and pressure; The isothermal isobaric ensemble -- The mutual information due to intermolecular interactions -- 6. Some simple applications -- Expansion of an ideal gas -- Pure, reversible mixing; The first illusion -- Pure assimilation process; The second illusion -- Irreversible process of demixing coupled with expansion -- Reversible assimilation coupled with expansion -- Reflections on the processes of mixing and assimilation -- A pure spontaneous deassimilation process -- A process involving only change in the momentum distribution -- A process involving change in the intermolecular interaction energy -- Some baffling experiments -- The second law of thermodynamics -- Appendices -- A: Newton's binomial theorem and some useful identities involving binomial coefficients -- B: The total number of states in the Fermi-Dirac and the Bose-Einstein statistics -- C: Pair and triplet independence between events -- D: Proof of the inequality R (X, Y) <̲ 1 for the correlation coefficient -- E: The Stirling approximation -- F: Proof of the form of the function H -- G: The method of Lagrange undetermined multipliers -- H: Some inequalities for concave functions -- The MI for the continuous case -- J: Identical and indistinguishable (ID) particles -- The equivalence of the Boltzmann's and Jaynes' procedures to obtain the fundamental distribution of the canonical ensemble -- L: An alternative derivation of the Sackur-Tetrode equation -- M: Labeling and un-labeling of particles -- N: Replacing a sum by its maximal term -- O: The Gibbs paradox (GP) -- P: The solution to the three prisoners' problem. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a "The principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term "entropy" with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the "driving force" of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy." "It has been 140 years since Clausius coined the term "entropy"; almost 50 years since Shannon developed the mathematical theory of "information"--Subsequently renamed "entropy." In this book, the author advocates replacing "entropy" by "information," a term that has become widely used in many branches of science."--Jacket. | ||
| 650 | 0 | |a Entropy. |0 http://id.loc.gov/authorities/subjects/sh85044150 | |
| 650 | 0 | |a Second law of thermodynamics. |0 http://id.loc.gov/authorities/subjects/sh2003010100 | |
| 650 | 0 | |a Statistical thermodynamics. |0 http://id.loc.gov/authorities/subjects/sh85127576 | |
| 650 | 6 | |a Entropie. | |
| 650 | 6 | |a Deuxième principe de la thermodynamique. | |
| 650 | 6 | |a Thermodynamique statistique. | |
| 650 | 7 | |a entropy. |2 aat | |
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| 650 | 7 | |a Entropy |2 fast | |
| 650 | 7 | |a Second law of thermodynamics |2 fast | |
| 650 | 7 | |a Statistical thermodynamics |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Ben-Naim, Arieh, 1934- |t Farewell to entropy. |d Hackensack, N.J. : World Scientific, ©2008 |w (DLC) 2008273766 |
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| author | Ben-Naim, Arieh, 1934- |
| author_GND | http://id.loc.gov/authorities/names/n79011129 |
| author_facet | Ben-Naim, Arieh, 1934- |
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| callnumber-raw | QC318.E57 B463 2008eb |
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| contents | 1. Introduction -- A brief history of temperature and entropy -- The association of entropy with disorder -- The association of entropy with missing information -- 2. Elements of probability theory -- Introduction -- The axiomatic approach -- The classical definition -- The relative frequency definition -- Independent events and conditional probability -- Bayes' Theorem -- Random variables, average, variance and correlation -- Some specific distributions -- Generating functions -- The law of large numbers -- 3. Elements of information theory -- A qualitative introduction to information theory -- Definition of Shannon's information and its properties -- The various interpretations of the quantity H -- The assignment of probabilities by the maximum uncertainty principle -- The missing information and the average number of binary questions needed to acquire it -- The false positive problem, revisited -- The urn problem, revisited -- 4. Transition from the general MI to the thermodynamic MI -- MI in binding systems: one kind of information -- Some simple processes in binding systems -- MI in an ideal gas system: two kinds of information. The Sackur-Tetrode Equation -- Comments -- 5. The structure of the foundations of statistical thermodynamics -- The isolated system; the micro-canonical ensemble -- System in a constant temperature; The canonical ensemble -- The classical analog of the canonical partition function -- The re-interpretation of the Sackur-Tetrode expression from informational considerations -- Identifying the parameter ß for an ideal gas -- Systems at constant temperature and chemical potential; The grand canonical ensemble -- Systems at constant temperature and pressure; The isothermal isobaric ensemble -- The mutual information due to intermolecular interactions -- 6. Some simple applications -- Expansion of an ideal gas -- Pure, reversible mixing; The first illusion -- Pure assimilation process; The second illusion -- Irreversible process of demixing coupled with expansion -- Reversible assimilation coupled with expansion -- Reflections on the processes of mixing and assimilation -- A pure spontaneous deassimilation process -- A process involving only change in the momentum distribution -- A process involving change in the intermolecular interaction energy -- Some baffling experiments -- The second law of thermodynamics -- Appendices -- A: Newton's binomial theorem and some useful identities involving binomial coefficients -- B: The total number of states in the Fermi-Dirac and the Bose-Einstein statistics -- C: Pair and triplet independence between events -- D: Proof of the inequality R (X, Y) <̲ 1 for the correlation coefficient -- E: The Stirling approximation -- F: Proof of the form of the function H -- G: The method of Lagrange undetermined multipliers -- H: Some inequalities for concave functions -- The MI for the continuous case -- J: Identical and indistinguishable (ID) particles -- The equivalence of the Boltzmann's and Jaynes' procedures to obtain the fundamental distribution of the canonical ensemble -- L: An alternative derivation of the Sackur-Tetrode equation -- M: Labeling and un-labeling of particles -- N: Replacing a sum by its maximal term -- O: The Gibbs paradox (GP) -- P: The solution to the three prisoners' problem. |
| ctrlnum | (OCoLC)560637107 |
| dewey-full | 536/.73 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 536 - Heat |
| dewey-raw | 536/.73 |
| dewey-search | 536/.73 |
| dewey-sort | 3536 273 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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Introduction -- A brief history of temperature and entropy -- The association of entropy with disorder -- The association of entropy with missing information -- 2. Elements of probability theory -- Introduction -- The axiomatic approach -- The classical definition -- The relative frequency definition -- Independent events and conditional probability -- Bayes' Theorem -- Random variables, average, variance and correlation -- Some specific distributions -- Generating functions -- The law of large numbers -- 3. Elements of information theory -- A qualitative introduction to information theory -- Definition of Shannon's information and its properties -- The various interpretations of the quantity H -- The assignment of probabilities by the maximum uncertainty principle -- The missing information and the average number of binary questions needed to acquire it -- The false positive problem, revisited -- The urn problem, revisited -- 4. Transition from the general MI to the thermodynamic MI -- MI in binding systems: one kind of information -- Some simple processes in binding systems -- MI in an ideal gas system: two kinds of information. The Sackur-Tetrode Equation -- Comments -- 5. The structure of the foundations of statistical thermodynamics -- The isolated system; the micro-canonical ensemble -- System in a constant temperature; The canonical ensemble -- The classical analog of the canonical partition function -- The re-interpretation of the Sackur-Tetrode expression from informational considerations -- Identifying the parameter ß for an ideal gas -- Systems at constant temperature and chemical potential; The grand canonical ensemble -- Systems at constant temperature and pressure; The isothermal isobaric ensemble -- The mutual information due to intermolecular interactions -- 6. Some simple applications -- Expansion of an ideal gas -- Pure, reversible mixing; The first illusion -- Pure assimilation process; The second illusion -- Irreversible process of demixing coupled with expansion -- Reversible assimilation coupled with expansion -- Reflections on the processes of mixing and assimilation -- A pure spontaneous deassimilation process -- A process involving only change in the momentum distribution -- A process involving change in the intermolecular interaction energy -- Some baffling experiments -- The second law of thermodynamics -- Appendices -- A: Newton's binomial theorem and some useful identities involving binomial coefficients -- B: The total number of states in the Fermi-Dirac and the Bose-Einstein statistics -- C: Pair and triplet independence between events -- D: Proof of the inequality R (X, Y) <̲ 1 for the correlation coefficient -- E: The Stirling approximation -- F: Proof of the form of the function H -- G: The method of Lagrange undetermined multipliers -- H: Some inequalities for concave functions -- The MI for the continuous case -- J: Identical and indistinguishable (ID) particles -- The equivalence of the Boltzmann's and Jaynes' procedures to obtain the fundamental distribution of the canonical ensemble -- L: An alternative derivation of the Sackur-Tetrode equation -- M: Labeling and un-labeling of particles -- N: Replacing a sum by its maximal term -- O: The Gibbs paradox (GP) -- P: The solution to the three prisoners' problem.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"The principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term "entropy" with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the "driving force" of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy." "It has been 140 years since Clausius coined the term "entropy"; almost 50 years since Shannon developed the mathematical theory of "information"--Subsequently renamed "entropy." 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| id | ZDB-4-EBA-ocn560637107 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:17:01Z |
| institution | BVB |
| isbn | 9789812790736 981279073X |
| language | English |
| lccn | 2008273766 |
| oclc_num | 560637107 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xxv, 384 pages) : illustrations (some color) |
| psigel | ZDB-4-EBA |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | Ben-Naim, Arieh, 1934- https://id.oclc.org/worldcat/entity/E39PBJvMwjFHJk6p6Fp34w74MP http://id.loc.gov/authorities/names/n79011129 A farewell to entropy : statistical thermodynamics based on information : S=logW / Arieh Ben-Naim. S=logW Hackensack, N.J. : World Scientific, ©2008. 1 online resource (xxv, 384 pages) : illustrations (some color) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 373-379) and index. 1. Introduction -- A brief history of temperature and entropy -- The association of entropy with disorder -- The association of entropy with missing information -- 2. Elements of probability theory -- Introduction -- The axiomatic approach -- The classical definition -- The relative frequency definition -- Independent events and conditional probability -- Bayes' Theorem -- Random variables, average, variance and correlation -- Some specific distributions -- Generating functions -- The law of large numbers -- 3. Elements of information theory -- A qualitative introduction to information theory -- Definition of Shannon's information and its properties -- The various interpretations of the quantity H -- The assignment of probabilities by the maximum uncertainty principle -- The missing information and the average number of binary questions needed to acquire it -- The false positive problem, revisited -- The urn problem, revisited -- 4. Transition from the general MI to the thermodynamic MI -- MI in binding systems: one kind of information -- Some simple processes in binding systems -- MI in an ideal gas system: two kinds of information. The Sackur-Tetrode Equation -- Comments -- 5. The structure of the foundations of statistical thermodynamics -- The isolated system; the micro-canonical ensemble -- System in a constant temperature; The canonical ensemble -- The classical analog of the canonical partition function -- The re-interpretation of the Sackur-Tetrode expression from informational considerations -- Identifying the parameter ß for an ideal gas -- Systems at constant temperature and chemical potential; The grand canonical ensemble -- Systems at constant temperature and pressure; The isothermal isobaric ensemble -- The mutual information due to intermolecular interactions -- 6. Some simple applications -- Expansion of an ideal gas -- Pure, reversible mixing; The first illusion -- Pure assimilation process; The second illusion -- Irreversible process of demixing coupled with expansion -- Reversible assimilation coupled with expansion -- Reflections on the processes of mixing and assimilation -- A pure spontaneous deassimilation process -- A process involving only change in the momentum distribution -- A process involving change in the intermolecular interaction energy -- Some baffling experiments -- The second law of thermodynamics -- Appendices -- A: Newton's binomial theorem and some useful identities involving binomial coefficients -- B: The total number of states in the Fermi-Dirac and the Bose-Einstein statistics -- C: Pair and triplet independence between events -- D: Proof of the inequality R (X, Y) <̲ 1 for the correlation coefficient -- E: The Stirling approximation -- F: Proof of the form of the function H -- G: The method of Lagrange undetermined multipliers -- H: Some inequalities for concave functions -- The MI for the continuous case -- J: Identical and indistinguishable (ID) particles -- The equivalence of the Boltzmann's and Jaynes' procedures to obtain the fundamental distribution of the canonical ensemble -- L: An alternative derivation of the Sackur-Tetrode equation -- M: Labeling and un-labeling of particles -- N: Replacing a sum by its maximal term -- O: The Gibbs paradox (GP) -- P: The solution to the three prisoners' problem. Print version record. "The principal message of this book is that thermodynamics and statistical mechanics will benefit from replacing the unfortunate, misleading and mysterious term "entropy" with a more familiar, meaningful and appropriate term such as information, missing information or uncertainty. This replacement would facilitate the interpretation of the "driving force" of many processes in terms of informational changes and dispel the mystery that has always enshrouded entropy." "It has been 140 years since Clausius coined the term "entropy"; almost 50 years since Shannon developed the mathematical theory of "information"--Subsequently renamed "entropy." In this book, the author advocates replacing "entropy" by "information," a term that has become widely used in many branches of science."--Jacket. Entropy. http://id.loc.gov/authorities/subjects/sh85044150 Second law of thermodynamics. http://id.loc.gov/authorities/subjects/sh2003010100 Statistical thermodynamics. http://id.loc.gov/authorities/subjects/sh85127576 Entropie. Deuxième principe de la thermodynamique. Thermodynamique statistique. entropy. aat SCIENCE Mechanics Thermodynamics. bisacsh Entropy fast Second law of thermodynamics fast Statistical thermodynamics fast Print version: Ben-Naim, Arieh, 1934- Farewell to entropy. Hackensack, N.J. : World Scientific, ©2008 (DLC) 2008273766 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=236065 Volltext |
| spellingShingle | Ben-Naim, Arieh, 1934- A farewell to entropy : statistical thermodynamics based on information : S=logW / 1. Introduction -- A brief history of temperature and entropy -- The association of entropy with disorder -- The association of entropy with missing information -- 2. Elements of probability theory -- Introduction -- The axiomatic approach -- The classical definition -- The relative frequency definition -- Independent events and conditional probability -- Bayes' Theorem -- Random variables, average, variance and correlation -- Some specific distributions -- Generating functions -- The law of large numbers -- 3. Elements of information theory -- A qualitative introduction to information theory -- Definition of Shannon's information and its properties -- The various interpretations of the quantity H -- The assignment of probabilities by the maximum uncertainty principle -- The missing information and the average number of binary questions needed to acquire it -- The false positive problem, revisited -- The urn problem, revisited -- 4. Transition from the general MI to the thermodynamic MI -- MI in binding systems: one kind of information -- Some simple processes in binding systems -- MI in an ideal gas system: two kinds of information. The Sackur-Tetrode Equation -- Comments -- 5. The structure of the foundations of statistical thermodynamics -- The isolated system; the micro-canonical ensemble -- System in a constant temperature; The canonical ensemble -- The classical analog of the canonical partition function -- The re-interpretation of the Sackur-Tetrode expression from informational considerations -- Identifying the parameter ß for an ideal gas -- Systems at constant temperature and chemical potential; The grand canonical ensemble -- Systems at constant temperature and pressure; The isothermal isobaric ensemble -- The mutual information due to intermolecular interactions -- 6. Some simple applications -- Expansion of an ideal gas -- Pure, reversible mixing; The first illusion -- Pure assimilation process; The second illusion -- Irreversible process of demixing coupled with expansion -- Reversible assimilation coupled with expansion -- Reflections on the processes of mixing and assimilation -- A pure spontaneous deassimilation process -- A process involving only change in the momentum distribution -- A process involving change in the intermolecular interaction energy -- Some baffling experiments -- The second law of thermodynamics -- Appendices -- A: Newton's binomial theorem and some useful identities involving binomial coefficients -- B: The total number of states in the Fermi-Dirac and the Bose-Einstein statistics -- C: Pair and triplet independence between events -- D: Proof of the inequality R (X, Y) <̲ 1 for the correlation coefficient -- E: The Stirling approximation -- F: Proof of the form of the function H -- G: The method of Lagrange undetermined multipliers -- H: Some inequalities for concave functions -- The MI for the continuous case -- J: Identical and indistinguishable (ID) particles -- The equivalence of the Boltzmann's and Jaynes' procedures to obtain the fundamental distribution of the canonical ensemble -- L: An alternative derivation of the Sackur-Tetrode equation -- M: Labeling and un-labeling of particles -- N: Replacing a sum by its maximal term -- O: The Gibbs paradox (GP) -- P: The solution to the three prisoners' problem. Entropy. http://id.loc.gov/authorities/subjects/sh85044150 Second law of thermodynamics. http://id.loc.gov/authorities/subjects/sh2003010100 Statistical thermodynamics. http://id.loc.gov/authorities/subjects/sh85127576 Entropie. Deuxième principe de la thermodynamique. Thermodynamique statistique. entropy. aat SCIENCE Mechanics Thermodynamics. bisacsh Entropy fast Second law of thermodynamics fast Statistical thermodynamics fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85044150 http://id.loc.gov/authorities/subjects/sh2003010100 http://id.loc.gov/authorities/subjects/sh85127576 |
| title | A farewell to entropy : statistical thermodynamics based on information : S=logW / |
| title_alt | S=logW |
| title_auth | A farewell to entropy : statistical thermodynamics based on information : S=logW / |
| title_exact_search | A farewell to entropy : statistical thermodynamics based on information : S=logW / |
| title_full | A farewell to entropy : statistical thermodynamics based on information : S=logW / Arieh Ben-Naim. |
| title_fullStr | A farewell to entropy : statistical thermodynamics based on information : S=logW / Arieh Ben-Naim. |
| title_full_unstemmed | A farewell to entropy : statistical thermodynamics based on information : S=logW / Arieh Ben-Naim. |
| title_short | A farewell to entropy : |
| title_sort | farewell to entropy statistical thermodynamics based on information s logw |
| title_sub | statistical thermodynamics based on information : S=logW / |
| topic | Entropy. http://id.loc.gov/authorities/subjects/sh85044150 Second law of thermodynamics. http://id.loc.gov/authorities/subjects/sh2003010100 Statistical thermodynamics. http://id.loc.gov/authorities/subjects/sh85127576 Entropie. Deuxième principe de la thermodynamique. Thermodynamique statistique. entropy. aat SCIENCE Mechanics Thermodynamics. bisacsh Entropy fast Second law of thermodynamics fast Statistical thermodynamics fast |
| topic_facet | Entropy. Second law of thermodynamics. Statistical thermodynamics. Entropie. Deuxième principe de la thermodynamique. Thermodynamique statistique. entropy. SCIENCE Mechanics Thermodynamics. Entropy Second law of thermodynamics Statistical thermodynamics |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=236065 |
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