Thermodynamic costs of temperature stabilization in logically irreversible computation
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Shu-Nan Li
Abstract
In recent years, great efforts are devoted to reducing the work cost of the bit operation, but it is still unclear whether these efforts are sufficient for resolving the temperature stabilization problem in computation. By combining information thermodynamics and a generalized constitutive model which can describe Fourier heat conduction as well as non-Fourier heat transport with nonlocal effects, we here unveil two types of the thermodynamic costs in the temperature stabilization problem. Each type imposes an upper bound on the amount of bits operated per unit time per unit volume, which will eventually limit the speed of the bit operation. The first type arises from the first and second laws of thermodynamics, which is independent of the boundary condition and can be circumvented in Fourier heat conduction. The other type is traceable to the third law of thermodynamics, which will vary with the boundary condition and is ineluctable in Fourier heat conduction. These thermodynamic costs show that reducing the work cost of the bit operation is insufficient for resolving the temperature stabilization problem in computation unless the work cost vanishes.
Acknowledgments
We are extremely grateful for Ruiying Ma, Dan Wu, Yue Yin, Hanchao Song and Ruining Xiong for insightful comments.
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Research ethics: Not applicable.
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Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Competing interests: The authors report no competing interests
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Research funding: This work was supported by the National Natural Science Foundation of China (Grant Nos. U20A20301, 52327809, 52250273) and the Shuimu Tsinghua Scholar Program of Tsinghua University.
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Data availability: Not applicable.
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Editorial
- Thermodynamic costs of temperature stabilization in logically irreversible computation
- Hydrodynamic, electronic and optic analogies with heat transport in extended thermodynamics
- Variations on the models of Carnot irreversible thermomechanical engine
- Revisit nonequilibrium thermodynamics based on thermomass theory and its applications in nanosystems
- On the dynamic thermal conductivity and diffusivity observed in heat pulse experiments
- On the influence of the fourth order orientation tensor on the dynamics of the second order one
- Lack-of-fit reduction in non-equilibrium thermodynamics applied to the Kac–Zwanzig model
- Optimized quantum drift diffusion model for a resonant tunneling diode
- The wall effect in a plane counterflow channel
- Buoyancy driven convection with a Cattaneo flux model
- Thermodynamics of micro- and nano-scale flow and heat transfer: a mini-review
- Poroacoustic front propagation under the linearized Eringen–Cattaneo–Christov–Straughan model
Artikel in diesem Heft
- Frontmatter
- Editorial
- Thermodynamic costs of temperature stabilization in logically irreversible computation
- Hydrodynamic, electronic and optic analogies with heat transport in extended thermodynamics
- Variations on the models of Carnot irreversible thermomechanical engine
- Revisit nonequilibrium thermodynamics based on thermomass theory and its applications in nanosystems
- On the dynamic thermal conductivity and diffusivity observed in heat pulse experiments
- On the influence of the fourth order orientation tensor on the dynamics of the second order one
- Lack-of-fit reduction in non-equilibrium thermodynamics applied to the Kac–Zwanzig model
- Optimized quantum drift diffusion model for a resonant tunneling diode
- The wall effect in a plane counterflow channel
- Buoyancy driven convection with a Cattaneo flux model
- Thermodynamics of micro- and nano-scale flow and heat transfer: a mini-review
- Poroacoustic front propagation under the linearized Eringen–Cattaneo–Christov–Straughan model
