Matches in SemOpenAlex for { <https://semopenalex.org/work/W2017652598> ?p ?o ?g. }
- W2017652598 endingPage "2040" @default.
- W2017652598 startingPage "2026" @default.
- W2017652598 abstract "The Kac model, a spin chain with exponentially decreasing long-range interaction, is investigated by means of a simple functional representation of the transfer operator. An analogy between the thermodynamics of spin chains and of one-dimensional (1D) chaotic maps allows us to use techniques worked out for generalized Frobenius-Perron equations to extract properties of the spin system, such as free energy and the decay rate of the correlation function. Although the Kac chain does not exhibit a phase transition, we find that the correlation decay shows a nonanalytic behavior at some finite temperature. We are also interested in a generalized version of the Kac model where the interaction still decays exponentially but in an oscillating fashion. This leads to the appearance of complicated patterns in the free energy caused by frustration which is a typical effect for disordered systems. By working out the analogy with 1D chaotic maps in more detail, we show how one can construct maps with the same thermodynamics as the spin chain. The associated maps turn out to be not smoothly differentiable, and their derivatives exhibit fractal properties." @default.
- W2017652598 created "2016-06-24" @default.
- W2017652598 creator A5016155041 @default.
- W2017652598 creator A5030983385 @default.
- W2017652598 creator A5056744833 @default.
- W2017652598 creator A5091671977 @default.
- W2017652598 date "1994-03-01" @default.
- W2017652598 modified "2023-09-23" @default.
- W2017652598 title "Kac model from a dynamical system’s point of view" @default.
- W2017652598 cites W1553236419 @default.
- W2017652598 cites W1963491400 @default.
- W2017652598 cites W1966506158 @default.
- W2017652598 cites W1966539827 @default.
- W2017652598 cites W1966759218 @default.
- W2017652598 cites W1972165967 @default.
- W2017652598 cites W1977593027 @default.
- W2017652598 cites W1979355773 @default.
- W2017652598 cites W1980807725 @default.
- W2017652598 cites W1981475009 @default.
- W2017652598 cites W1981776498 @default.
- W2017652598 cites W1981973315 @default.
- W2017652598 cites W1982064663 @default.
- W2017652598 cites W1985710682 @default.
- W2017652598 cites W1986333957 @default.
- W2017652598 cites W1988353706 @default.
- W2017652598 cites W1990202361 @default.
- W2017652598 cites W1993296845 @default.
- W2017652598 cites W1993668476 @default.
- W2017652598 cites W1995882611 @default.
- W2017652598 cites W1998620310 @default.
- W2017652598 cites W2015823942 @default.
- W2017652598 cites W2017948080 @default.
- W2017652598 cites W2018175666 @default.
- W2017652598 cites W2020077736 @default.
- W2017652598 cites W2020317059 @default.
- W2017652598 cites W2021640351 @default.
- W2017652598 cites W2021976733 @default.
- W2017652598 cites W2024250320 @default.
- W2017652598 cites W2030380156 @default.
- W2017652598 cites W2030415421 @default.
- W2017652598 cites W2030813728 @default.
- W2017652598 cites W2033560762 @default.
- W2017652598 cites W2034270534 @default.
- W2017652598 cites W2035101347 @default.
- W2017652598 cites W2035481648 @default.
- W2017652598 cites W2036484440 @default.
- W2017652598 cites W2044547576 @default.
- W2017652598 cites W2045334156 @default.
- W2017652598 cites W2045551045 @default.
- W2017652598 cites W2047511416 @default.
- W2017652598 cites W2048650769 @default.
- W2017652598 cites W2054757723 @default.
- W2017652598 cites W2056625116 @default.
- W2017652598 cites W2059081597 @default.
- W2017652598 cites W2060321532 @default.
- W2017652598 cites W2060901649 @default.
- W2017652598 cites W2061194434 @default.
- W2017652598 cites W2061524893 @default.
- W2017652598 cites W2064322729 @default.
- W2017652598 cites W2072860630 @default.
- W2017652598 cites W2073559538 @default.
- W2017652598 cites W2075795638 @default.
- W2017652598 cites W2077725911 @default.
- W2017652598 cites W2081221601 @default.
- W2017652598 cites W2081787527 @default.
- W2017652598 cites W2083013001 @default.
- W2017652598 cites W2083573799 @default.
- W2017652598 cites W2085326957 @default.
- W2017652598 cites W2086549856 @default.
- W2017652598 cites W2090469260 @default.
- W2017652598 cites W2094219596 @default.
- W2017652598 cites W2124844780 @default.
- W2017652598 cites W2159117764 @default.
- W2017652598 cites W2164130750 @default.
- W2017652598 cites W2168172110 @default.
- W2017652598 cites W2225144138 @default.
- W2017652598 cites W4205436075 @default.
- W2017652598 doi "https://doi.org/10.1103/physreve.49.2026" @default.
- W2017652598 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/9961443" @default.
- W2017652598 hasPublicationYear "1994" @default.
- W2017652598 type Work @default.
- W2017652598 sameAs 2017652598 @default.
- W2017652598 citedByCount "0" @default.
- W2017652598 crossrefType "journal-article" @default.
- W2017652598 hasAuthorship W2017652598A5016155041 @default.
- W2017652598 hasAuthorship W2017652598A5030983385 @default.
- W2017652598 hasAuthorship W2017652598A5056744833 @default.
- W2017652598 hasAuthorship W2017652598A5091671977 @default.
- W2017652598 hasConcept C104317684 @default.
- W2017652598 hasConcept C121332964 @default.
- W2017652598 hasConcept C121864883 @default.
- W2017652598 hasConcept C133386390 @default.
- W2017652598 hasConcept C134306372 @default.
- W2017652598 hasConcept C138885662 @default.
- W2017652598 hasConcept C154945302 @default.
- W2017652598 hasConcept C158448853 @default.
- W2017652598 hasConcept C17020691 @default.
- W2017652598 hasConcept C185592680 @default.