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Pair-correlation effects in many-bod...

Blom, Kristian.

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Pair-correlation effects in many-body systems = towards a complete theoretical description of pair-correlations in the static and kinetic description of many-body systems /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Pair-correlation effects in many-body systems/ by Kristian Blom.
其他題名:	towards a complete theoretical description of pair-correlations in the static and kinetic description of many-body systems /
作者:	Blom, Kristian.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	1 online resource (xvii, 175 p.) :ill. (some col.), digital ;24 cm.
附註:	"Doctoral thesis accepted by Georg-August-Universitat Gottingen, Gottingen, Germany."
內容註:	1. Introduction -- 2. Bethe-Guggenheim approximation for uniform systems -- 3. Bethe-Guggenheim approximation for non-uniform systems -- 4. Delocalization-Induced Interface Broadening in Strongly Interacting Systems -- 5. Criticality in Cell Adhesion -- 6. Global Speed Limit for Finite-Time Dynamical Phase Transition in Nonequilibrium Relaxation -- 7. Conclusion and Outlook.
Contained By:	Springer Nature eBook
標題:	Many-body problem. -
電子資源:	https://doi.org/10.1007/978-3-031-29612-3
ISBN:	9783031296123

Pair-correlation effects in many-body systems = towards a complete theoretical description of pair-correlations in the static and kinetic description of many-body systems /
Blom, Kristian.

Pair-correlation effects in many-body systemstowards a complete theoretical description of pair-correlations in the static and kinetic description of many-body systems /[electronic resource] :by Kristian Blom. - Cham :Springer Nature Switzerland :2023. - 1 online resource (xvii, 175 p.) :ill. (some col.), digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

"Doctoral thesis accepted by Georg-August-Universitat Gottingen, Gottingen, Germany."

1. Introduction -- 2. Bethe-Guggenheim approximation for uniform systems -- 3. Bethe-Guggenheim approximation for non-uniform systems -- 4. Delocalization-Induced Interface Broadening in Strongly Interacting Systems -- 5. Criticality in Cell Adhesion -- 6. Global Speed Limit for Finite-Time Dynamical Phase Transition in Nonequilibrium Relaxation -- 7. Conclusion and Outlook.

The laws of nature encompass the small, the large, the few, and the many. In this book, we are concerned with classical (i.e., not quantum) many-body systems, which refers to any microscopic or macroscopic system that contains a large number of interacting entities. The nearest-neighbor Ising model, originally developed in 1920 by Wilhelm Lenz, forms a cornerstone in our theoretical understanding of collective effects in classical many-body systems and is to date a paradigm for statistical physics. Despite its elegant and simplistic description, exact analytical results in dimensions equal and larger than two are difficult to obtain. Therefore, much work has been done to construct methods that allow for approximate, yet accurate, analytical solutions. One of these methods is the Bethe-Guggenheim approximation, originally developed independently by Hans Bethe and Edward Guggenheim in 1935. This approximation goes beyond the well-known mean field approximation and explicitly accounts for pair correlations between the spins in the Ising model. In this book, we embark on a journey to exploit the full capacity of the Bethe-Guggenheim approximation, in non-uniform and non-equilibrium settings. Throughout we unveil the non-trivial and a priori non-intuitive effects of pair correlations in the classical nearest-neighbor Ising model, which are taken into account in the Bethe-Guggenheim approximation and neglected in the mean field approximation.

ISBN: 9783031296123

Standard No.: 10.1007/978-3-031-29612-3doiSubjects--Topical Terms:

525019
Many-body problem.

LC Class. No.: QC174.17.P7

Dewey Class. No.: 530.144

Pair-correlation effects in many-body systems = towards a complete theoretical description of pair-correlations in the static and kinetic description of many-body systems /
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520 $a The laws of nature encompass the small, the large, the few, and the many. In this book, we are concerned with classical (i.e., not quantum) many-body systems, which refers to any microscopic or macroscopic system that contains a large number of interacting entities. The nearest-neighbor Ising model, originally developed in 1920 by Wilhelm Lenz, forms a cornerstone in our theoretical understanding of collective effects in classical many-body systems and is to date a paradigm for statistical physics. Despite its elegant and simplistic description, exact analytical results in dimensions equal and larger than two are difficult to obtain. Therefore, much work has been done to construct methods that allow for approximate, yet accurate, analytical solutions. One of these methods is the Bethe-Guggenheim approximation, originally developed independently by Hans Bethe and Edward Guggenheim in 1935. This approximation goes beyond the well-known mean field approximation and explicitly accounts for pair correlations between the spins in the Ising model. In this book, we embark on a journey to exploit the full capacity of the Bethe-Guggenheim approximation, in non-uniform and non-equilibrium settings. Throughout we unveil the non-trivial and a priori non-intuitive effects of pair correlations in the classical nearest-neighbor Ising model, which are taken into account in the Bethe-Guggenheim approximation and neglected in the mean field approximation.
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