Now, by substituting this value of S in equation (3), we get,ġ T = ∂ S ∂ U = ∂ ∂ U 8 π 2 G U 2 h c 5 k 1 T = 16 π 2 G U h c 5 k T = h c 5 16 π 2 G U kīy resusbstituting the value of U in the above equation, we get the desired result in terms of mass,įor a solar mass black hole, M = 2 × 10 30 kg.Īlso, by substituting 6. Calorons are BPS saturated (or self-dual) solutions to the Yang-Mills equations of motion in four-dimensional Euclidean spacetime (with time compactified on a. The remainder of the book deals with statistical mechanics. Role="math" localid="1646995322714" S = 8 π 2 G M 2 h c k × c 4 c 4 S = 8 π 2 G ( M c 2 ) 2 h c 5 k File Type PDF An Introduction To Thermal Physics Schroeder Solutions Manual interactions. ∂ S is the change in entropy and ∂ U is the change in the internal energy of the body. Mathematically, temperature can be defined as:
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