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Frank Lampard
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Can anyone explain me the term 'Relativistic heat force'?
Any research papers dealing with this topic??
Thanking in advance..
Any research papers dealing with this topic??
Thanking in advance..
kev said:The linked paper http://arxiv.org/PS_cache/arxiv/pdf/0801/0801.2639v1.pdf has something very odd in it. I hope someone can clear up what seems a very basic error in the paper.
In equation (2) the paper clearly states [tex] \gamma = (1-u^2/c^2)^{-1/2}[/tex]
In equation (7) the paper states [tex] m = m_o \cdot \gamma = m_o \cdot (1-u^2/c^2)^{-1/2}[/tex]
So far, this all very classic relativity but perhaps a bit old fashioned in using the relativistic mass increase concept. Nevetheless we note that by the expression m_o dot gamma they mean an increase of mass with increase of relative velocity.
Now just before equation (26) the paper states:
"Using the above expression for G, the fact that p is a Lorentz invariant, i.e. p = p0, and the change of volume by Lorentz contraction, [tex] V = V_o \cdot \gamma [/tex] , one can integrate the above expression and get.."
Now of course I am very happy that they assume that pressure is invariant as everyone here knows that is my belief, but by V_o dot gamma they must be implying an increase of volume with increase of relative velocity. Is that not the opposite of length contraction and therefore a mistake? Maybe it is me that missing something basic?
1effect said:It's a typo. The authors use [tex]V=V_0 \gamma ^{-1}[/tex] a few lines below in eq (28).
Relativistic heat force is a concept in physics that describes the force exerted on an object due to the transfer of heat energy. It takes into account the effects of relativity, specifically time dilation and length contraction, on the movement of particles.
Relativistic heat force takes into account the effects of relativity, while regular heat force does not. This means that relativistic heat force can accurately describe the behavior of particles moving at speeds close to the speed of light, while regular heat force cannot.
Relativistic heat force has applications in various fields, such as astrophysics, nuclear physics, and particle accelerators. It helps us understand the behavior of particles in extreme conditions, such as in the core of a star or in high-energy collisions.
Relativistic heat force is calculated using the formula F = γq(c-v), where F is the force, γ is the Lorentz factor, q is the heat energy transferred, c is the speed of light, and v is the speed of the object. This formula takes into account the effects of relativity on the movement of particles.
No, relativistic heat force is typically observed in extreme conditions, such as in high-energy particle collisions or in the cores of stars. In everyday life, the effects of relativity on heat transfer are negligible and can be ignored.