Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

Statistical mechanics of interfering links.

¹Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA. hastings@lanl.gov

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 11, 2005

Summary

This study models wireless communication interference using statistical mechanics, revealing a spin-glass transition in equilibrium and connections to random sequential adsorption in greedy models.

Related Concept Videos

You might also read

Related Articles

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

Sort by

Same author

Strong and weak thermalization of infinite nonintegrable quantum systems.

Physical review letters·2011

Same author

Quantum adiabatic computation with a constant gap is not useful in one dimension.

Physical review letters·2009

Same author

Matrix product states for dynamical simulation of infinite chains.

Physical review letters·2009

Same author

Inference from matrix products: a heuristic spin-glass algorithm.

Physical review letters·2008

Same author

Conformal invariance and stochastic Loewner evolution processes in two-dimensional Ising spin glasses.

Physical review letters·2007

Same author

Community detection as an inference problem.

Physical review. E, Statistical, nonlinear, and soft matter physics·2006

Area of Science:

Statistical mechanics
Wireless communications
Network science

Background:

Wireless networks face interference challenges impacting connection reliability.
Efficient protocols require nodes to coordinate transmissions to avoid collisions.
Existing models often simplify the complex spatial and temporal dependencies of interference.

Purpose of the Study:

To investigate the statistical mechanics of interfering transmissions in a wireless protocol.
To analyze the emergent properties of network connectivity under specific interference constraints.
To explore both equilibrium and nonequilibrium dynamics of link formation.

Main Methods:

Formulating the problem as dimers on a lattice with non-overlapping and non-nearest-neighbor constraints.
Applying equilibrium statistical mechanics to analyze the system's steady state.
Investigating a nonequilibrium 'greedy' dynamics analogous to random sequential adsorption.

Main Results:

The equilibrium model exhibits a spin-glass transition at maximum node density on specific lattice structures.
The greedy construction demonstrates a direct relationship with random sequential adsorption processes.
The model captures the complex interplay between spatial proximity and channel access in wireless networks.

Conclusions:

The statistical mechanics framework provides novel insights into wireless network interference.
The identified spin-glass transition highlights a critical phenomenon in dense wireless networks.
The connection to random sequential adsorption offers a new perspective on dynamic link establishment.

Related Experiment Videos