LEADER 04322nam 22007095 450 001 9910728388903321 005 20230526144340.0 010 $a9783031296123$b(electronic bk.) 010 $z9783031296116 024 7 $a10.1007/978-3-031-29612-3 035 $a(MiAaPQ)EBC30552971 035 $a(Au-PeEL)EBL30552971 035 $a(OCoLC)1380788127 035 $a(DE-He213)978-3-031-29612-3 035 $a(BIP)089067330 035 $a(PPN)27061432X 035 $a(CKB)26784773600041 035 $a(EXLCZ)9926784773600041 100 $a20230526d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPair-Correlation Effects in Many-Body Systems $eTowards a Complete Theoretical Description of Pair-Correlations in the Static and Kinetic Description of Many-Body Systems /$fby Kristian Blom 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (189 pages) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 311 08$aPrint version: Blom, Kristian Pair-Correlation Effects in Many-Body Systems Cham : Springer,c2023 9783031296116 327 $a1. 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. 330 $aThe laws of nature encompass the small, the large, the few, and the many. In this book, we are concerned with classical (i.e., not quantum) many-body systems, which refers to any microscopic or macroscopic system that contains a large number of interacting entities. The nearest-neighbor Ising model, originally developed in 1920 by Wilhelm Lenz, forms a cornerstone in our theoretical understanding of collective effects in classical many-body systems and is to date a paradigm for statistical physics. Despite its elegant and simplistic description, exact analytical results in dimensions equal and larger than two are difficult to obtain. Therefore, much work has been done to construct methods that allow for approximate, yet accurate, analytical solutions. One of these methods is the Bethe-Guggenheim approximation, originally developed independently by Hans Bethe and Edward Guggenheim in 1935. This approximation goes beyond the well-known mean field approximation and explicitly accounts for pair correlations between the spins in the Ising model. In this book, we embark on a journey to exploit the full capacity of the Bethe-Guggenheim approximation, in non-uniform and non-equilibrium settings. Throughout we unveil the non-trivial and a priori non-intuitive effects of pair correlations in the classical nearest-neighbor Ising model, which are taken into account in the Bethe-Guggenheim approximation and neglected in the mean field approximation. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 606 $aQuantum electrodynamics 606 $aPhysics 606 $aCondensed matter 606 $aMathematical physics 606 $aQuantum Electrodynamics, Relativistic and Many-body Calculations 606 $aClassical and Continuum Physics 606 $aStrongly Correlated Systems 606 $aMathematical Physics 610 $aMechanics 610 $aCondensed Matter 610 $aMathematical Physics 610 $aQuantum Theory 610 $aScience 615 0$aQuantum electrodynamics. 615 0$aPhysics. 615 0$aCondensed matter. 615 0$aMathematical physics. 615 14$aQuantum Electrodynamics, Relativistic and Many-body Calculations. 615 24$aClassical and Continuum Physics. 615 24$aStrongly Correlated Systems. 615 24$aMathematical Physics. 676 $a530.1433 700 $aBlom$b Kristian$01362856 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910728388903321 996 $aPair-Correlation Effects in Many-Body Systems$93382375 997 $aUNINA