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Fluctuations in nonequilibrium systems and broken supersymmetry (1993)

Zimmer, Michael F.

Springer

Journal of statistical physics 73 (1993), S. 751-764

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ISSN: 1572-9613

Keywords: Fluctuation-dissipation theorem ; nonequilibrium systems ; supersymmetry ; Ward-Takahashii identity ; detailed balance ; driven diffusive system ; nonpotential forces ; BRS symmetry ; mode coupling

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: Abstract The fluctuation-dissipation theorem is not expected to hold for systems that either violate detailed balance or have time-dependent or nonpotential forces. Therefore the relation between response and correlation functions should have contributions due to the nonequilibrium nature. An explicit formula for such a contribution is calculated, which in the present derivation appears as a historydependent term. These relations are the Ward-Takahashi identities of a supersymmetric formulation of the Langevin models, and the new term results from a broken supersymmetry.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01054348

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Wolframheterocyclen mit Phosphor, Schwefel und Stickstoff als Ringbausteine (1989)

Roesky, Herbert W. ; Zimmer, Michael ; Noltemeyer, Mathias

Weinheim : Wiley-Blackwell

Berichte der deutschen chemischen Gesellschaft 122 (1989), S. 63-65

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ISSN: 0009-2940

Keywords: Silicon - nitrogen cleavage ; Tungsten heterocycles containing N, P, and S ; Chemistry ; Inorganic Chemistry

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology

Notes: Heterocycles Containing Tungsten, Phosphorus, Sulphur, and Nitrogen in the Ring SkeletonThe new ligand Me2S(NPPh2NSiMe3)2 (2), prepared from Me2S-(NPPh2)2 (1) and Me3SiN3, reacts with WF6 and WCl6 to form the heterocycles Me2S(NPPh2N)2WF4 (3a) and Me2S(NPPh2N)2WCl4 (3b). The X-ray single-crystal structure analysis exhibits a puckered eight-membered ring with alternating short and long bond lengths. 3a crystallizes with one molecule of dimethylformamide in the space group Cc with a = 1247.3(6), b = 1728.5(9), c = 1543.1(8) pm and β = 102.41(3)°.

Additional Material: 1 Ill.