Related papers: Temperature as Joules per Bit

Temperature as Joules per Bit

URL: http://arxiv.org/abs/2401.12119v1
Date: Mon, 22 Jan 2024 17:04:43 GMT
Title: Temperature as Joules per Bit
Authors: Charles Alexandre B\'edard, Sophie Berthelette, Xavier Coiteux-Roy and Stefan Wolf
Abstract summary: Boltzmann's constant reflects a historical misunderstanding of the concept of entropy. entropy is measured in bits, and coincides with information capacity at thermodynamic equilibrium.
Score: 0.7499722271664147
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Boltzmann's constant reflects a historical misunderstanding of the concept of entropy, whose informational nature is obfuscated when expressed in J/K. We suggest that the development of temperature and energy, historically prior to that of entropy, does not amount to their logical priority: Temperature should be defined in terms of entropy, not vice versa. Following the precepts of information theory, entropy is measured in bits, and coincides with information capacity at thermodynamic equilibrium. Consequently, not only is the temperature of an equilibrated system expressed in J/bit, but it acquires an operational meaning: It is the cost in energy to increase its information capacity by 1 bit. Our proposal also supports the notion of available capacity, analogous to free energy. Finally, it simplifies Landauer's cost and clarifies that it is a cost of displacement, not of erasure.

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