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Energy efficiency is closely related to the evolution of biological systems and is important to their information processing. In this paper, we calculated the excitation probability of a simple model of a bistable biological unit in…

Biological Physics · Physics 2015-12-09 Chi Zhang , Li-Wei Liu , Long-Fei Wang , Yuan Yue , Lian-Chun Yu

We derive a formulation of the First Law of nonequilibrium thermodynamics for biological information-processing systems by partitioning entropy in the Second Law into microscopic and mesoscopic components and by assuming that natural…

Statistical Mechanics · Physics 2025-11-03 Roger D. Jones , Achille Giacometti , Alan M. Jones

Thermodynamics and information have intricate inter-relations. The justification of the fact that information is physical, is done by inter-linking information and thermodynamics - through Landauer's principle. This modern approach towards…

Quantum Physics · Physics 2018-05-29 Manabendra Nath Bera , Andreas Winter , Maciej Lewenstein

How much free energy is irreversibly lost during a thermodynamic process? For deterministic protocols, lower bounds on energy dissipation arise from the thermodynamic friction associated with pushing a system out of equilibrium in finite…

Statistical Mechanics · Physics 2021-03-26 Samuel J. Bryant , Benjamin B. Machta

A central goal of synthetic biology is to design sophisticated synthetic cellular circuits that can perform complex computations and information processing tasks in response to specific inputs. The tremendous advances in our ability to…

Molecular Networks · Quantitative Biology 2016-02-17 Pankaj Mehta , Alex H. Lang , David J. Schwab

Energy costs of information processing are growing exponentially. Bit erasure is a key problem in this energy-information nexus, and a number of seminal relationships have been deduced regarding the relationship between thermodynamic costs…

Statistical Mechanics · Physics 2026-04-16 Songela W. Chen , David T. Limmer

In the absence of external driving, a system exposed to thermal fluctuations will relax to equilibrium. However, the constant input of work makes it possible to counteract this relaxation, and maintain the system in a nonequilibrium steady…

Statistical Mechanics · Physics 2017-07-04 Jordan M. Horowitz , Kevin Zhou , Jeremy L. England

Biomolecular machines transduce between different forms of energy. These machines make directed progress and increase their speed by consuming free energy, typically in the form of nonequilibrium chemical concentrations. Machine dynamics…

Statistical Mechanics · Physics 2018-10-05 Aidan I Brown , David A Sivak

How do organisms recognize their environment by acquiring knowledge about the world, and what actions do they take based on this knowledge? This article examines hypotheses about organisms' adaptation to the environment from machine…

Neurons and Cognition · Quantitative Biology 2019-03-01 Hideaki Shimazaki

Biological information processing manifests a huge variety in its complexity and capability among different organisms, which presumably stems from the evolutionary optimization under limited computational resources. Starting from the…

Biological Physics · Physics 2025-10-21 Takehiro Tottori , Tetsuya J. Kobayashi

This paper provides a concise description of the free energy principle, starting from a formulation of random dynamical systems in terms of a Langevin equation and ending with a Bayesian mechanics that can be read as a physics of sentience.…

Using a double-well potential as a physical memory, we study with experiments and numerical simulations the energy exchanges during erasure processes, and model quantitatively the cost of fast operation. Within the stochastic thermodynamics…

Statistical Mechanics · Physics 2022-02-22 Salambô Dago , Ludovic Bellon

We introduce a classical algorithm to approximate the free energy of local, translation-invariant, one-dimensional quantum systems in the thermodynamic limit of infinite chain size. While the ground state problem (i.e., the free energy at…

Quantum Physics · Physics 2024-07-04 Hamza Fawzi , Omar Fawzi , Samuel O. Scalet

This thesis focuses on three fundamental aspects of biological systems; namely, entropy production, Bayesian mechanics, and the free-energy principle. The contributions are threefold: 1) We compute the entropy production for a greater class…

Mathematical Physics · Physics 2024-10-16 Lancelot Da Costa

Adaptive physical and biological systems continually process fluctuating information from their environments. When the environment is nonstationary, inference itself becomes a nonequilibrium process with thermodynamic cost. We analyse a…

Statistical Mechanics · Physics 2026-03-23 Aditya Gupta

The erasure of information is fundamentally an irreversible logical operation, carrying profound consequences for the energetics of computation and information processing. We investigate the thermodynamic costs associated with erasing (and…

Quantum Physics · Physics 2026-01-23 Himanshu Badhani , Dhanuja GS , Swati Choudhary , Vishal Anand , Siddhartha Das

Landauer discussed the minimum energy necessary for computation and stated that erasure of information is accompanied by heat generation to the amount of kT ln2/bit. Modifying the above statement, we claim that erasure of information is…

chao-dyn · Physics 2009-10-31 Shunya Ishioka , Nobuko Fuchikami

The growth rate of organisms depends both on external conditions and on internal states, such as the expression levels of various genes. We show that to achieve a criterion mean growth rate over an ensemble of conditions, the internal…

Populations and Evolution · Quantitative Biology 2007-12-31 Samuel F. Taylor , Naftali Tishby , William Bialek

Landauer's principle makes a strong connection between information theory and thermodynamics by stating that erasing a one-bit memory at temperature $T_0$ requires an average energy larger than $W_{LB}=k_BT_0 \ln2$, with $k_B$ Boltzmann's…

Statistical Mechanics · Physics 2024-01-12 Salambô Dago , Sergio Ciliberto , Ludovic Bellon

We outline a phenomenological theory of evolution and origin of life by combining the formalism of classical thermodynamics with a statistical description of learning. The maximum entropy principle constrained by the requirement for…

Populations and Evolution · Quantitative Biology 2022-10-12 Vitaly Vanchurin , Yuri I. Wolf , Eugene V. Koonin , Mikhail I. Katsnelson