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Stochastic thermodynamics: From principles to the cost of precision
- Source :
- Physica A: Statistical Mechanics and its Applications. 504:176-191
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- In these lecture notes, the basic principles of stochastic thermodynamics are developed starting with a closed system in contact with a heat bath. A trajectory undergoes Markovian transitions between observable meso-states that correspond to a coarse-grained description of, e.g., a biomolecule or a biochemical network. By separating the closed system into a core system and into reservoirs for ligands and reactants that bind to, and react with the core system, a description as an open system controlled by chemical potentials and possibly an external force is achieved. Entropy production and further thermodynamic quantities defined along a trajectory obey various fluctuation theorems. For describing fluctuations in a non-equilibrium steady state in the long-time limit, the concept of a rate function for large deviations from the mean behaviour is derived from the weight of a trajectory. Universal bounds on this rate function follow which prove and generalize the thermodynamic uncertainty relation that quantifies the inevitable trade-off between cost and precision of any biomolecular process. Specific illustrations are given for molecular motors, Brownian clocks and enzymatic networks that show how these tools can be used for thermodynamic inference of hidden properties of a system.<br />Comment: Lecture notes for the international summer school "Fundamental Problems in Statistical Physics" 2017 in Bruneck
- Subjects :
- Statistics and Probability
Physics
Statistical Mechanics (cond-mat.stat-mech)
Thermodynamic state
Fundamental thermodynamic relation
Entropy production
FOS: Physical sciences
Thermodynamics
Biomolecules (q-bio.BM)
Condensed Matter Physics
Thermodynamic equations
01 natural sciences
Thermodynamic system
010305 fluids & plasmas
Quantitative Biology - Biomolecules
FOS: Biological sciences
0103 physical sciences
Statistical physics
010306 general physics
Rate function
Condensed Matter - Statistical Mechanics
Brownian motion
Thermodynamic process
Subjects
Details
- ISSN :
- 03784371
- Volume :
- 504
- Database :
- OpenAIRE
- Journal :
- Physica A: Statistical Mechanics and its Applications
- Accession number :
- edsair.doi.dedup.....f8802e49d0af8741317c381f083d345a