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 ...
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...
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, ...
Lubos Motl's Reference Frame
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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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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, ...
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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).
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
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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