Saturday, July 25, 2015

. When discussing that the system is in contact with this heat bath we speak of the larger particles moving in the heat bath.(smaller paticles), Wiener process

Variational and Extremum Principles in Macroscopic Systems

https://books.google.com/books?isbn=0080456146
Stanislaw Sieniutycz, ‎Henrik Farkas - 2010 - ‎Science
More precisely, if the heat capacity of the heat bath is infinite, the canonical distribution is exponential, while if it is constant and finite, the canonical density ...

 

 

Erik Verlinde: comments about the entropic force of gravity

motls.blogspot.com/.../erik-verlinde-com...
Lubos Motl's Reference Frame
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Jan 14, 2010 - When the heat bath is infinite, the force is perfectly conservative. For the case of gravity the speed of light determines the size of the heat bath, ...
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Variational and Extremum Principles in Macroscopic Systems

https://books.google.com/books?isbn=0080456146
Stanislaw Sieniutycz, ‎Henrik Farkas - 2010 - ‎Science
More precisely, if the heat capacity of the heat bath is infinite, the canonical distribution is exponential, while if it is constant and finite, the canonical density ...


Non-canonical statistics of finite quantum system - arXiv

arxiv.org/pdf/1403.5363
arXiv
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by DZ Xu - ‎2014 - ‎Related articles
Mar 21, 2014 - of the heat bath is infinite, the system-bath coupling ap- proaches to infinitesimal. However, if the system only interacts with a small heat bath ...


Gravity is an entropic form of holographic information. | WIRED

www.wired.com/.../gravity-is-an-entropic-form-of-holographic-inf...
Wired
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Jan 20, 2010 - When the heat bath is infinite, the force is perfectly conservative. For the case of gravity the speed of light determines the size of the heat bath, ...


[PDF]Noncanonical statistics of a finite quantum system with non ...

www.csrc.ac.cn/~suncp/papers/PR/PRE14-1.pdf
by DZ Xu - ‎2014 - ‎Related articles
Dec 17, 2014 - is guaranteed in the thermodynamic limit, which requires that, while the degrees of freedom of the heat bath is infinite, the system-bath coupling ...


Verlinde scores goal for LQG | Page 2 - Physics Forums

www.physicsforums.com › Physics › Beyond the Standard Model
Jan 22, 2010 - When the heat bath is infinite, the force is perfectly conservative. For the case of gravity the speed of light determines the size of the heat bath, ...


[PDF]Out of Equilibrium Mastery Attempt 1 - SteadyServerPages

steadyserverpages.com/steadystate/Archive/outofEquilibriumReview.pdf
Dec 14, 2011 - ensemble, the heat bath is infinite in the amount of energy it may provide. In this sense, a simulaneous time-dependent density of states for ...


[PDF]Long Time Integration of Molecular Dynamics at Constant ...

www.diva-portal.se/smash/get/diva2:808180/FULLTEXT01.pdf
by J Böjeryd - ‎2015 - ‎Related articles
that the system may exchange energy with. If the heat bath is "infinite" so that it does not change temperature when energy is transported to and from it, the con-.
 
 
 
If a system starts in some arbitrary initial state x0 and is in contact with (here
immersed into) some reservoir that can absorb an infinite amount of energy without
changing temperature we call the reservoir a heat bath. The system itself is a
thermostat. When discussing that the system is in contact with this heat bath we
speak of the larger particles moving in the heat bath. With this interpretation the
notion of constant volume needs to be clarified: Actually, when we say constant
volume we mean that the particles are confined in a space of constant size, which
they may not escape from (assuming constant N).
 
 
The addition to this idea by Langevin is to add a friction and a
noise term to the change of each pi, often illustrated as how a fluid of much smaller
particles affect the motion of larger particles moving through. In thermodynamics
the smaller particles are referred to as a "heat bath" and is treated as a fluid. The
friction > 0 of the fluid acts in the opposite direction of the motion, proportional
to |pi|, and the noise is the resulting force of all smaller particles of the fluid colliding
with the larger. The noise is described by a Jd-dimensional Wiener process and
is proportional to p
, chosen to yield convergence to the Gibbs invariant measure
(see below, (2.26)). Thus we now leave the Hamiltonian equations of motion

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