Stochastic Thermodynamics of Non-Linear Electronic Circuits: A Realistic Framework for Computing around kT

Abstract

We present a general formalism for the construction of thermodynamically consistent stochastic models of non-linear electronic circuits. The devices constituting the circuit can have arbitrary I-V curves and may include tunnel junctions, diodes, and MOS transistors in subthreshold operation, among others. We provide a full analysis of the stochastic non-equilibrium thermodynamics of these models, identifying the relevant thermodynamic potentials, characterizing the different contributions to the irreversible entropy production, and obtaining different fluctuation theorems. Our work provides a realistic framework to study thermodynamics of computing with electronic circuits. We demonstrate this point by constructing a stochastic model of a CMOS inverter. We find that a deterministic analysis is only compatible with the assumption of equilibrium fluctuations, and analyze how the non-equilibrium fluctuations induce deviations from its deterministic transfer function. Finally, building on the CMOS inverter, we propose a full-CMOS design for a probabilistic bit (or binary stochastic neuron) exploiting intrinsic noise.

arXiv commentUpdated version

References in corpus (49)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Shot Noise in Mesoscopic Conductors
• Ising formulations of many NP problems
• The large deviation approach to statistical mechanics
• Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computation
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• 1/f noise: implications for solid-state quantum information
• Full Counting Statistics of Charge Transfer in Coulomb Blockade Systems
• Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure
• Optimal finite-time processes in stochastic thermodynamics
• Second law and Landauer principle far from equilibrium
• Stochastic p-bits for Invertible Logic
• Thermodynamic metrics and optimal paths
• Nonequilibrium fluctuations in a resistor
• Thermodynamics with continuous information flow
• Thermodynamic uncertainty relations from exchange fluctuation theorems
• Integral fluctuation theorem for the housekeeping heat
• Refined Second Law of Thermodynamics for fast random processes
• Power and heat fluctuation theorems for electric circuits
• On the heat flux and entropy produced by thermal fluctuations
• Stochastic thermodynamics of computation
• Finite-time Landauer principle
• Irreversible thermodynamics of open chemical networks I: Emergent cycles and broken conservation laws
• Time-information uncertainty relations in thermodynamics
• Thermodynamic and Logical Reversibilities Revisited
• Distribution of Entropy Production in a Single-Electron Box
• Optimal finite-time erasure of a classical bit
• Thermodynamics of Quantum Information Flows
• Fluctuation theorem for counting-statistics in electron transport through quantum junctions
• Finite-time erasing of information stored in fermionic bits
• Dynamics of interacting particle systems: stochastic process and field theory
• Conservation Laws shape Dissipation
• Conservation Laws and Work Fluctuation Relations in Chemical Reaction Networks
• Above and Beyond the Landauer Bound: Thermodynamics of Modularity
• Noise-based logic: Binary, multi-valued, or fuzzy, with optional superposition of logic states
• Large deviations and dynamical phase transitions in stochastic chemical networks
• Fluctuation theorems for capacitively coupled electronic currents
• Thermodynamics of computing with circuits
• Detailed Fluctuation Theorems: A Unifying Perspective
• Stochastic and Quantum Thermodynamics of Driven RLC Networks
• Reliability and entropy production in non-equilibrium electronic memories
• Double quantum dot coupled to a quantum point contact: A stochastic thermodynamics approach
• Probabilistic Circuits for Autonomous Learning: A simulation study
• Microreversibility, fluctuations, and nonlinear transport in transistors
• Counting statistics and microreversibility in stochastic models of transistors
• Stochastic approach and fluctuation theorem for charge transport in diodes
• Thermodynamics of majority-logic decoding in information erasure

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• Quantum technologies need a Quantum Energy Initiative
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• Reliability and entropy production in non-equilibrium electronic memories
• On the stochastic thermodynamics of fractional Brownian motion
• Emergent second law for non-equilibrium steady states
• Nonequilibrium Fluctuation-Response Relations: From Identities to Bounds
• Large deviations theory for noisy non-linear electronics: CMOS inverter as a case study
• Beyond Thermodynamic Uncertainty Relations: nonlinear response, error-dissipation trade-offs, and speed limits
• Dissipation bounds precision of current response to kinetic perturbations
• Landauer Principle and Thermodynamics of Computation
• A large deviation theory perspective on nanoscale transport phenomena
• A Maxwell demon that can work at macroscopic scales
• Information flows in macroscopic Maxwell's demons
• Linear Stochastic Thermodynamics
• Poissonian cellular Potts models reveal nonequilibrium kinetics of cell sorting
• Lower bound for entropy production rate in stochastic systems far from equilibrium
• Detailed fluctuation theorem bounds apparent violations of the second law
• Thermodynamic Skewness Relation From Detailed Fluctuation Theorem
• Stochastic thermodynamic bounds on logical circuit operation
• Mutual Multilinearity of Nonequilibrium Network Currents
• Noise-dissipation relation for nonlinear electronic circuits
• Nonequilibrium fluctuation-response relations for state-current correlations
• Thermodynamical Material Networks for Modeling, Planning, and Control of Circular Material Flows
• A [3]-catenane non-autonomous molecular motor model: geometric phase, no-pumping theorem, and energy transduction
• Experimentally achieving minimal dissipation via thermodynamically optimal transport
• Quantifying the value of transient voltage sources
• Dissipation in Hydrodynamics from Micro- to Macroscale: Wisdom from Boltzmann and Stochastic Thermodynamics
• Thermodynamic Constraints in Dynamic Random-Access Memory Cells: Experimental Verification of Energy Efficiency Limits in Information Erasure
• Join gate with memory in token-conserving Brownian circuits and the thermodynamic cost
• Microcanonical ensemble out of equilibrium
• Dissipation and fluctuations of CMOS ring oscillators close to criticality
• Optimal control of bit erasure in stochastic random access memory