Space-times with a stable adiabatic vacuum

1984 ◽  
Vol 16 (5) ◽  
pp. 453-458
Author(s):  
Tevian Dray ◽  
J�rgen Renn
Keyword(s):  
1943 ◽  
Vol 16 (2) ◽  
pp. 310-317 ◽  
Author(s):  
Norman Bekkedahl ◽  
Russell B. Scott

Abstract Measurements of specific heat were made on a sample of Hycar-OR synthetic rubber from 15° to 340° K by means of an adiabatic vacuum-type calorimeter. The experimental values of the specific heat between 15° and 22° K were well represented by the Debye specific-heat equation, using a βν value of 80 and, accordingly, the values below 15° K were calculated with this equation. At about 250° K the material has a transition of the second order, the specific heat increasing by about 40 per cent to a value of 1.84 Int. joules · gram−1 · degree−1 just above the transition. From 250° to 340° K the specific heat-temperature curve is nearly linear, and the values can be calculated to within 0.2 per cent from the formula Cp=0.00283T+1.126, in Int. joules · gram−1 · degree−1. At 298.16° K (25° C) the specific heat is 1.971 Int. joules · gram−1 · degree−1 (0.4712 calories · gram−1 · degree−1). The increase in entropy resulting from heating from 0° to 298.16° K was calculated to be 1.743 ± 0.002 Int. joules · gram−1 · degree−1 (0.4167 ± 0.0005 calories · gram−1 · degree−1).


1996 ◽  
Vol 08 (08) ◽  
pp. 1091-1159 ◽  
Author(s):  
WOLFGANG JUNKER

Quasifree states of a linear Klein-Gordon quantum field on globally hyperbolic spacetime manifolds are considered. After a short mathematical review techniques from the theory of pseudodifferential operators and wavefront sets on manifolds are used to develop a criterion for a state to be an Hadamard state. It is proven that ground- and KMS-states on certain static spacetimes and adiabatic vacuum states on Robertson-Walker spaces are Hadamard states. A counterexample is given which shows that the idea of instantaneous positive energy states w.r.t. a Cauchy surface does in general not yield physical states. Finally, the problem of constructing Hadamard states on arbitrary curved spacetimes is solved in principle.


1990 ◽  
Vol 134 (1) ◽  
pp. 29-63 ◽  
Author(s):  
Christian Lüders ◽  
John E. Roberts

Cryogenics ◽  
1967 ◽  
Vol 7 (1-4) ◽  
pp. 297
Author(s):  
G.A. Zaītsev ◽  
V.I. Orcharenko ◽  
V.I. Khotkevich

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