2026-05-04

Quantum friction solved without ad-hoc dissipation terms

Researchers at the Universidad de Buenos Aires derive dry friction from first principles, eliminating artificial dampening in the Tomlinson model.

Researchers have eliminated ad-hoc dissipation terms in the Tomlinson model, proving that atomic friction emerges naturally from lattice interactions without requiring artificial energy-loss coefficients.

— BrunoSan Quantum Intelligence · 2026-05-04
· 6 min read · 1347 words
frictionphysicsnanotechnologyarxiv

Friction is perhaps the most ubiquitous force in our daily lives, yet it remains one of the most stubborn mysteries in physics. Since the days of Leonardo da Vinci, scientists have struggled to explain exactly how energy vanishes when two surfaces slide past one another. While we can measure the resistance of a sliding block or the wear on a car tire, the underlying atomic mechanism that converts kinetic energy into heat has lacked a complete, self-contained mathematical description. For decades, physicists relied on a mathematical "cheat code": they added an ad-hoc dissipation term to their equations to force the math to match reality. [arXiv:1708.03415]

The Core Finding

Researchers at the Universidad de Buenos Aires have successfully modified the classic Tomlinson model to explain friction without relying on these artificial dampening factors. By representing a surface as a periodic arrangement of atoms, each confined by its own independent harmonic potential, the team observed the emergence of non-conservative forces naturally. This is a significant departure from previous iterations of the model where energy loss was essentially programmed into the simulation from the start. The team found that the interaction between a single sliding atom and the vibrating lattice creates an "effective emerging friction" that matches experimental observations from Atomic Force Microscopy (AFM).

Think of it like a person running across a floor covered in trampolines; even if the trampolines are perfectly elastic, the runner slows down because their energy is transferred into the complex, messy vibrations of the springs beneath them. The authors state:

The novelty of our contribution resides in that we do not include an ad hoc dissipation term as all previous works have done.
By solving Newton’s equations numerically, the researchers demonstrated that the simple act of one atom interacting with a flexible lattice is enough to simulate the energy loss we call friction.

The State of the Field

Before this breakthrough, the gold standard for atomic-scale friction was the Prandtl-Tomlinson model, first proposed in the 1920s. While highly successful at predicting the "stick-slip" motion observed in nanotechnology, it required a damping coefficientβ€”a number inserted by hand to represent energy lost to the environment. Without this coefficient, the sliding atom in the model would simply oscillate forever, never coming to a rest. This created a theoretical gap: if we cannot explain where the energy goes without "fudging" the numbers, we do not truly understand the physics of the interface.

This research arrives at a critical moment for the quantum error correction landscape. As we move toward fault-tolerant quantum computing, the physical interactions at the atomic levelβ€”specifically how energy dissipates in the materials used for superconducting qubitsβ€”become a primary bottleneck. Understanding the "emerging friction" in the crystalline structures of a surface code or a logical qubit is essential for reducing the noise that leads to decoherence. If we can model dissipation from first principles, we can design materials that inherently minimize the energy loss that currently plagues quantum hardware.

From Lab to Reality

For scientists, this model unlocks a new path for studying the non-conservative lateral forces that govern nanomachines. By removing the ad-hoc terms, researchers can now investigate how specific lattice geometries or atomic masses influence friction without the bias of pre-set dissipation rates. This is particularly relevant for the development of topological qubits, where the movement of quasiparticles must be controlled with extreme precision. Engineers working on Micro-Electro-Mechanical Systems (MEMS) could use these findings to improve the longevity of microscopic gears and sensors, potentially extending the operational life of these devices by years.

For investors, this research impacts the broader quantum hardware market, which is increasingly focused on material science to achieve scalability. The quantum error correction market, estimated to reach billions by 2030, depends heavily on our ability to engineer chips with lower thermal noise. Companies that can translate first-principles friction models into better-performing superconducting circuits will hold a significant competitive advantage in the race for the first commercially viable quantum computer.

What Still Needs to Happen

Despite the elegance of the new model, several technical challenges remain before it can be fully integrated into industrial design. First, the current simulation is limited to a single sliding atom over a one-dimensional arrangement. Real-world applications involve complex, three-dimensional interfaces with millions of atoms and varying degrees of surface roughness. Groups at institutions like the Max Planck Institute are currently working on scaling these numerical simulations to handle more complex geometries, but the computational cost is immense.

Second, the model currently assumes a classical Newtonian framework. While this is sufficient for many dry sliding scenarios, the next frontier is a fully quantum-mechanical version of the Tomlinson model. This would account for phonon-electron interactions and quantum tunneling, which are critical at the ultra-low temperatures where fault-tolerant quantum computing operates. We are likely five to ten years away from seeing these first-principles models used in standard CAD software for quantum chip fabrication.

Frequently Asked Questions

What is the Tomlinson model?
The Tomlinson model is a mathematical framework used to describe how a single atom moves across a periodic surface. It is the primary tool for understanding friction at the atomic scale, particularly in Atomic Force Microscopy. Traditionally, it requires an added 'damping' term to account for energy loss. This new research removes that requirement.
How does this new approach work?
Instead of adding a mathematical constant for friction, the researchers modeled the surface atoms as independent oscillators. As the sliding atom passes over them, it transfers kinetic energy into these oscillations. This transfer creates a natural resistance that mimics real-world friction. The process is solved using numerical Newton's equations.
How does this compare to prior approaches?
Prior models used 'ad-hoc' dissipation, meaning they manually inserted a variable to make the energy disappear. This was effective for predictions but didn't explain the physical origin of the loss. The new model is self-contained and derives friction from the interaction of the atoms themselves. It provides a more fundamental understanding of energy transfer.
When could this be commercially relevant?
The model is currently in the theoretical and simulation stage. It will likely take 5 to 10 years to integrate these first-principles calculations into commercial engineering software. Its first impacts will be seen in the design of high-precision nanotechnology and quantum sensors. Commercial quantum computing hardware may benefit sooner through improved material selection.
Which industries would benefit most?
The nanotechnology and semiconductor industries stand to gain the most from better friction modeling. It is also highly relevant for the quantum computing sector, specifically for reducing decoherence in qubits. Any industry relying on Micro-Electro-Mechanical Systems (MEMS) will see improvements in device durability. Aerospace and automotive sectors may eventually benefit from better lubricant designs.
What are the current limitations of this research?
The study is currently limited to a simplified one-dimensional model of a single atom. It does not yet account for the three-dimensional complexities of real-world surfaces or chemical contaminants. Furthermore, it uses classical mechanics rather than quantum mechanics. Expanding the model to include these factors requires significantly more computing power.

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