Landauer’s Principle as a Special Case of Galois Connection

2020

Preprint

The informational re-interpretation of the basic laws of the mechanics exploiting the Landauer principle is suggested. When a physical body is in rest or it moves rectilinearly with the constant speed, zero information is transferred; thus, the informational affinity of the rest state and the rectilinear motion with a constant speed is established. The analysis of the minimal Szilard thermal engine as seen from the non-inertial frame of references is carried out. The Szilard single-particle minimal thermal engine undergoes the isobaric expansion relatively to the accelerated frame of references, enabling the erasure of 1 bit of information. The energy ΔQ spent by the inertial force for the erasure of 1 bit of information is estimated as: ΔQ≅5/3 k_B T ̅, which is larger than the Landauer bound but qualitatively close to it. The informational interpretation of the equivalence principle is proposed: the informational content of the inertial and gravitational masses is the same.

Section: Introductionmentioning

confidence: 99%

Informational Reinterpretation of the Mechanics Notions and Laws

2020

Preprint

“…It has already been suggested that energy and information play a role in the life cycle of living organisms [ 26 ]. Kycia related the Landauer principle, which he treats as a special case of a more general Galois connection, to the DNA and RNA processing in vivo and in vitro [ 27 ].…”

Section: Viruses As Thermodynamic and Information Processing Systementioning

confidence: 99%

“…The kinetics of thermal inactivation of a virus is characterized by the rate of decrease of the substrate population

defined as:

where A is the virus population. The rate of thermal inactivation is governed by the Eyring equation:

where h is the Planck constant, and

is the change of the molar Gibbs energy of the population as it goes to the inactivated state,

is the activation molar enthalpy, and

is the activation molar entropy [ 27 ]. Therefore, the rate of inactivation of viruses increases dramatically with heating.…”

Section: Viruses As Thermodynamic and Information Processing Systementioning

confidence: 99%

Survival of Virus Particles in Water Droplets: Hydrophobic Forces and Landauer’s Principle

Fedorets

Dombrovsky

et al. 2021

Entropy

Many small biological objects, such as viruses, survive in a water environment and cannot remain active in dry air without condensation of water vapor. From a physical point of view, these objects belong to the mesoscale, where small thermal fluctuations with the characteristic kinetic energy of kBT (where kB is the Boltzmann’s constant and T is the absolute temperature) play a significant role. The self-assembly of viruses, including protein folding and the formation of a protein capsid and lipid bilayer membrane, is controlled by hydrophobic forces (i.e., the repulsing forces between hydrophobic particles and regions of molecules) in a water environment. Hydrophobic forces are entropic, and they are driven by a system’s tendency to attain the maximum disordered state. On the other hand, in information systems, entropic forces are responsible for erasing information, if the energy barrier between two states of a switch is on the order of kBT, which is referred to as Landauer’s principle. We treated hydrophobic interactions responsible for the self-assembly of viruses as an information-processing mechanism. We further showed a similarity of these submicron-scale processes with the self-assembly in colloidal crystals, droplet clusters, and liquid marbles.

“…The Landauer Principle, suggesting the thermodynamic equivalent of information, has attracted the interest of researchers in the last decade [ 1 , 2 , 3 , 4 , 5 ]. Simply put, the Landauer principle states that the erasure of one bit of information requires a minimum energy cost equal to

, where T is the temperature of a thermal reservoir used in the process and

is Boltzmann’s constant [ 6 , 7 ].…”

Section: Introductionmentioning

confidence: 99%

Informational Reinterpretation of the Mechanics Notions and Laws

2020

Entropy

The informational re-interpretation of the basic laws of the mechanics exploiting the Landauer principle is suggested. When a physical body is in rest or it moves rectilinearly with the constant speed, zero information is transferred; thus, the informational affinity of the rest state and the rectilinear motion with a constant speed is established. Inertial forces may be involved in the erasure/recording of information. The analysis of the minimal Szilard thermal engine as seen from the noninertial frame of references is carried out. The Szilard single-particle minimal thermal engine undergoes isobaric expansion relative to accelerated frame of references, enabling the erasure of 1 bit of information. The energy ΔQ spent by the inertial force for the erasure of 1 bit of information is estimated as Δ Q ≅ 5 3 k B T ¯ , which is larger than the Landauer bound but qualitatively is close to it. The informational interpretation of the equivalence principle is proposed: the informational content of the inertial and gravitational masses is the same.