Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Second Uniqueness Theorem01:16

Second Uniqueness Theorem

2.7K
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
2.7K
Reynolds Transport Theorem01:24

Reynolds Transport Theorem

2.1K
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
2.1K
Debye–Huckel–Onsager Conductance Equation01:28

Debye–Huckel–Onsager Conductance Equation

217
The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect.
217
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

1.1K
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from...
1.1K
Network Function of a Circuit01:25

Network Function of a Circuit

1.0K
Frequency response analysis in electrical circuits provides vital insights into a circuit's behavior as the frequency of the input signal changes. The transfer function, a mathematical tool, is instrumental in understanding this behavior. It defines the relationship between phasor output and input and comes in four types: voltage gain, current gain, transfer impedance, and transfer admittance. The critical components of the transfer function are the poles and zeros.
1.0K
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

3.4K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
3.4K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Number of Local Minima in Discrete-Time Fractional Brownian Motion.

Physical review letters·2026
Same author

Visitation Dynamics of d-Dimensional Fractional Brownian Motion.

Physical review letters·2025
Same author

Evidence and quantification of memory effects in competitive first-passage events.

Science advances·2025
Same author

Full-record statistics of one-dimensional random walks.

Physical review. E·2024
Same author

From Maximum of Inter-Visit Times to Starving Random Walks.

Physical review letters·2024
Same author

Record ages of non-Markovian scale-invariant random walks.

Nature communications·2023

Related Experiment Video

Updated: Apr 1, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

10.5K

Universality at Breakdown of Quantum Transport on Complex Networks.

Nikolaj Kulvelis1, Maxim Dolgushev1, Oliver Mülken1

  • 1Physikalisches Institut, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany.

Physical Review Letters
|October 3, 2015
PubMed
Summary

We found that quantum transport efficiency in treelike networks transitions from efficient to inefficient based on node functionality. This transition is characterized by a universal exponent in the infinite system size limit.

More Related Videos

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

1.2K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.8K

Related Experiment Videos

Last Updated: Apr 1, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

10.5K
Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

1.2K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.8K

Area of Science:

  • Quantum physics
  • Complex networks
  • Statistical mechanics

Background:

  • Understanding quantum transport in complex systems is crucial.
  • Network structure significantly impacts transport properties.
  • Quantifying global transport efficiency requires robust measures.

Purpose of the Study:

  • To derive bounds for global quantum transport efficiency on complex networks.
  • To investigate the transition from efficient to inefficient transport in treelike networks.
  • To identify universal characteristics of this transition.

Main Methods:

  • Analysis of the Hamiltonian spectrum for quantum transport.
  • Derivation of bounds for time-averaged return probability.
  • Analytical solutions for treelike, deterministic, and fractal networks.
  • Monte Carlo simulations for scale-free trees.

Main Results:

  • Established bounds for global transport efficiency.
  • Identified a critical transition in treelike networks dependent on node functionality.
  • Characterized the transition with a universal exponent in the infinite system size limit.
  • Confirmed findings with specific network models and simulations.

Conclusions:

  • Node functionality critically determines quantum transport efficiency in treelike networks.
  • The observed transition is a universal phenomenon in such systems.
  • The study provides a theoretical framework for understanding quantum transport in complex network architectures.